PUMA publications for /user/sylviazur/vorlaeufig%20importedhttps://puma.ub.uni-stuttgart.de/user/sylviazur/vorlaeufig%20importedPUMA RSS feed for /user/sylviazur/vorlaeufig%20imported2024-03-29T14:22:44+01:00A Molecular--Continuum Multiscale Solver for Liquid--Vapor Flow: Modeling and Numerical Simulationhttps://puma.ub.uni-stuttgart.de/bibtex/205d86ebc1e531fe26d58a7bc9c1ac998/sylviazursylviazur2021-11-29T09:54:42+01:00ians imported vorlaeufig <meta content="thesis" itemprop="educationalUse"/><span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Jim Magiera" itemprop="url" href="/person/18b7ef6a64c98e633acebea64779af565/author/0"><span itemprop="name">J. Magiera</span></a></span></span>. </span><span class="additional-entrytype-information"><em><span itemprop="educationalUse">Ph.D. Thesis</span>, </em>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Mon Nov 29 09:54:42 CET 2021A Molecular--Continuum Multiscale Solver for Liquid--Vapor Flow: Modeling and Numerical SimulationPh.D. Thesis2021ians imported vorlaeufig A Molecular--Continuum Multiscale Solver for Liquid--Vapor Flowhttps://puma.ub.uni-stuttgart.de/bibtex/2f8450a6cb8a876ffcbd5c0efc395263f/sylviazursylviazur2021-10-06T09:37:38+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Jim Magiera" itemprop="url" href="/person/12bf0d564ba154be3bec572cbc5c68903/author/0"><span itemprop="name">J. Magiera</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/Book" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="name">Small Collaboration: Advanced Numerical Methods for Nonlinear Hyperbolic Balance Laws and Their Applications (hybrid meeting)</span>, </em></span><em>volume 41 of Oberwolfach Rep., </em>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)<em>Abstracts from the mini-workshop held 29 Aug -- 4 Sep 2021, Organized by Song Jiang, Jiequan Li, Maria Lukacova, Gerald Warnecke.</em></span>Wed Oct 06 09:37:38 CEST 2021Small Collaboration: Advanced Numerical Methods for Nonlinear Hyperbolic Balance Laws and Their Applications (hybrid meeting)Abstracts from the mini-workshop held 29 Aug -- 4 Sep 2021, Organized by Song Jiang, Jiequan Li, Maria Lukacova, Gerald WarneckeOberwolfach Rep.A Molecular--Continuum Multiscale Solver for Liquid--Vapor Flow412021ians imported vorlaeufig Error control for statistical solutions of hyperbolic systems
of conservation lawshttps://puma.ub.uni-stuttgart.de/bibtex/2e1b10838125b737ebaf2a30e749e5bd1/sylviazursylviazur2021-09-29T09:19:34+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Jan Giesselmann" itemprop="url" href="/person/1bf87b8872df8841135fe6e36465d779d/author/0"><span itemprop="name">J. Giesselmann</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Fabian Meyer" itemprop="url" href="/person/1bf87b8872df8841135fe6e36465d779d/author/1"><span itemprop="name">F. Meyer</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Rohde" itemprop="url" href="/person/1bf87b8872df8841135fe6e36465d779d/author/2"><span itemprop="name">C. Rohde</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Calcolo</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">58 </span></span>(<span itemprop="issueNumber">2</span>):
<span itemprop="pagination">Paper No. 23, 29</span></em> </span>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Wed Sep 29 09:19:34 CEST 2021Calcolo2Paper No. 23, 29Error control for statistical solutions of hyperbolic systems
of conservation laws582021ians imported vorlaeufig An artificial Equation of State based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier–Stokes equationshttps://puma.ub.uni-stuttgart.de/bibtex/2f780e7dc3e871353322d9dbf1754cd2f/sylviazursylviazur2021-09-20T10:06:30+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="F. Massa" itemprop="url" href="/person/1f6896f3a541580e69897575794162aca/author/0"><span itemprop="name">F. Massa</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="L. Ostrowski" itemprop="url" href="/person/1f6896f3a541580e69897575794162aca/author/1"><span itemprop="name">L. Ostrowski</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="F. Bassi" itemprop="url" href="/person/1f6896f3a541580e69897575794162aca/author/2"><span itemprop="name">F. Bassi</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="C. Rohde" itemprop="url" href="/person/1f6896f3a541580e69897575794162aca/author/3"><span itemprop="name">C. Rohde</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">J. Comput. Phys.</span>, </em> </span>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Mon Sep 20 10:06:30 CEST 2021J. Comput. Phys.110705An artificial Equation of State based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier–Stokes equations2021ians imported vorlaeufig In this work we present a novel exact Riemann solver for an artificial Equation of State (EoS) based modification of the incompressible Euler equations. Differently from the well known artificial compressibility method, this new approach overcomes the lack of the pressure-velocity coupling by using a suitably designed artificial EoS. The modified set of equations fits into the framework of first order hyperbolic conservation laws. Accordingly, an exact Riemann solver is derived. This new solver has the advantage to avoid a wave pattern violation issue which can affect the exact Riemann problem solution obtained by the standard artificial compressibility approach. The new artificial EoS based Riemann solver can be used as a tool for the definition of the advective Godunov fluxes in a Finite Volume or a discontinuous Galerkin discretization of the incompressible Navier–Stokes (INS) equations. We assess and analyse the new exact Riemann solver on 1D Riemann problems. Its capability and effectiveness are then shown in the context of a high-order accurate discontinuous Galerkin discretization of the INS equations. In particular, we verify the convergence properties, both in space and time, considering two test cases in 2D, namely, the Kovasznay test case and a damped travelling waves test case. Finally, we perform an implicit large eddy simulation of the incompressible turbulent flow over periodic hills where the classic forcing term formulation is modified to deal with variable time steps. Solution comparisons with respect to numerical and experimental results from the literature are given.Consistent and asymptotic-preserving finite-volume domain decomposition methods for singularly perturbed elliptic equationshttps://puma.ub.uni-stuttgart.de/bibtex/2566e6349cdb89f6ab6c58d0936736a52/sylviazursylviazur2021-08-24T10:27:59+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Martin Gander" itemprop="url" href="/person/1f69fe19f19e9eb190ffb351e4fef6c01/author/0"><span itemprop="name">M. Gander</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Stephan Lunowa" itemprop="url" href="/person/1f69fe19f19e9eb190ffb351e4fef6c01/author/1"><span itemprop="name">S. Lunowa</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Rohde" itemprop="url" href="/person/1f69fe19f19e9eb190ffb351e4fef6c01/author/2"><span itemprop="name">C. Rohde</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/Book" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="name">Domain Decomposition Methods in Science and Engineering XXVI</span>, </em></span><em><span itemprop="publisher">Lect. Notes Comput. Sci. Eng., Springer, Cham</span>, </em>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Tue Aug 24 10:27:59 CEST 2021Domain Decomposition Methods in Science and Engineering XXVIConsistent and asymptotic-preserving finite-volume domain decomposition methods for singularly perturbed elliptic equations2021ians imported vorlaeufig Determination of the Beavers-Joseph slip coefficient for coupled Stokes/Darcy problemshttps://puma.ub.uni-stuttgart.de/bibtex/28f626a06ad524eedffdebbccd3a57464/sylviazursylviazur2021-07-14T11:47:33+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="P. Strohbeck" itemprop="url" href="/person/17b9e9cf260323b834369001b4ad85089/author/0"><span itemprop="name">P. Strohbeck</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="E. Eggenweiler" itemprop="url" href="/person/17b9e9cf260323b834369001b4ad85089/author/1"><span itemprop="name">E. Eggenweiler</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="I. Rybak" itemprop="url" href="/person/17b9e9cf260323b834369001b4ad85089/author/2"><span itemprop="name">I. Rybak</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Adv. Water Res. (submitted)</span>, </em> </span>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Wed Jul 14 11:47:33 CEST 2021Adv. Water Res. (submitted)Determination of the Beavers-Joseph slip coefficient for coupled Stokes/Darcy problems2021ians imported vorlaeufig Uncertainty Quantification in High Performance Computational Fluid Dynamicshttps://puma.ub.uni-stuttgart.de/bibtex/2dd5c8cf22cfa93923f3457599769f9ae/sylviazursylviazur2021-06-07T09:10:54+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Andrea Beck" itemprop="url" href="/person/15a2a1709c146bc678cacff780a795451/author/0"><span itemprop="name">A. Beck</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Jakob Dürrwächter" itemprop="url" href="/person/15a2a1709c146bc678cacff780a795451/author/1"><span itemprop="name">J. Dürrwächter</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Thomas Kuhn" itemprop="url" href="/person/15a2a1709c146bc678cacff780a795451/author/2"><span itemprop="name">T. Kuhn</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Fabian Meyer" itemprop="url" href="/person/15a2a1709c146bc678cacff780a795451/author/3"><span itemprop="name">F. Meyer</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Claus-Dieter Munz" itemprop="url" href="/person/15a2a1709c146bc678cacff780a795451/author/4"><span itemprop="name">C. Munz</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Rohde" itemprop="url" href="/person/15a2a1709c146bc678cacff780a795451/author/5"><span itemprop="name">C. Rohde</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/Book" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="name">High Performance Computing in Science and Engineering '19</span>, </em></span><em>page <span itemprop="pagination">355--371</span>. </em><em>Cham, </em><em><span itemprop="publisher">Springer International Publishing</span>, </em>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Mon Jun 07 09:10:54 CEST 2021ChamHigh Performance Computing in Science and Engineering '19355--371Uncertainty Quantification in High Performance Computational Fluid Dynamics2021ians imported vorlaeufig In this report we present advances in our research on direct aeroacoustics and uncertainty quantification, based on the high-order Discontinuous Galerkin solver FLEXI. Oscillation phenomena triggered by flow over cavities can lead to an unpleasant tonal (whistling) noise, which provides motivation for industry and academia to better understand the underlying mechanisms. We present a numerical setup capable of capturing these phenomena with high efficiency, as we show by comparison to experimental data and results from industry. Some of these phenomena are highly sensitive towards flow conditions, which makes an integrated approach regarding these conditions necessary. This is the goal of uncertainty quantification. We present software for both intrusive and non-intrusive uncertainty quantification methods. We investigate convergence and computational performance. The development of both codes was in parts carried out in cooperation with HLRS. Apart from validation results, we show a non-intrusive simulation of 3D turbulent cavity noise.Non-overlapping Schwarz Waveform-Relaxation for Nonlinear Advection-Diffusion Equationshttps://puma.ub.uni-stuttgart.de/bibtex/26fc4afbc549fb24edb79cfde089b1f44/sylviazursylviazur2021-05-10T09:27:19+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Martin Gander" itemprop="url" href="/person/1d9a6421237b8f95374a2baa8ac6f02d3/author/0"><span itemprop="name">M. Gander</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Stephan Lunowa" itemprop="url" href="/person/1d9a6421237b8f95374a2baa8ac6f02d3/author/1"><span itemprop="name">S. Lunowa</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Rohde" itemprop="url" href="/person/1d9a6421237b8f95374a2baa8ac6f02d3/author/2"><span itemprop="name">C. Rohde</span></a></span></span>. </span><span class="additional-entrytype-information">(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Mon May 10 09:27:19 CEST 2021Non-overlapping Schwarz Waveform-Relaxation for Nonlinear Advection-Diffusion Equations2021ians imported vorlaeufig Analysis of the Stokes-Darcy problem with generalised interface conditionshttps://puma.ub.uni-stuttgart.de/bibtex/2786ada4bc5ad9caa9b1983f34a802744/sylviazursylviazur2021-04-19T10:06:39+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="E. Eggenweiler" itemprop="url" href="/person/168615fffb71c4caf123eea8a363e2a68/author/0"><span itemprop="name">E. Eggenweiler</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="M. Discacciati" itemprop="url" href="/person/168615fffb71c4caf123eea8a363e2a68/author/1"><span itemprop="name">M. Discacciati</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="I. Rybak" itemprop="url" href="/person/168615fffb71c4caf123eea8a363e2a68/author/2"><span itemprop="name">I. Rybak</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">ESAIM Math. Model. Numer. Anal. (submitted)</span>, </em> </span>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Mon Apr 19 10:06:39 CEST 2021ESAIM Math. Model. Numer. Anal. (submitted)Analysis of the Stokes-Darcy problem with generalised interface conditions2021ians imported vorlaeufig Analysis and Numerics of Sharp and Diffuse Interface Models for Droplet Dynamicshttps://puma.ub.uni-stuttgart.de/bibtex/24ac1a7b21cebac1f7e812e0d740d5e61/sylviazursylviazur2021-04-15T09:42:37+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Jim Magiera" itemprop="url" href="/person/13ce762e6161700a25f1521e30b2248e1/author/0"><span itemprop="name">J. Magiera</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Rohde" itemprop="url" href="/person/13ce762e6161700a25f1521e30b2248e1/author/1"><span itemprop="name">C. Rohde</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/Book" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="name">Droplet Dynamics under Extreme Ambient Conditions</span>, </em><em><span itemprop="publisher">Springer</span>, </em></span>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Thu Apr 15 09:42:37 CEST 2021Droplet Dynamics under Extreme Ambient ConditionsFluid Mechanics and its ApplicationAnalysis and Numerics of Sharp and Diffuse Interface Models for Droplet Dynamics2021ians imported vorlaeufig Investigation of Crystal Growth in Enzymatically Induced Calcite Precipitation by Micro-Fluidic Experimental Methods and Comparison with Mathematical Modelinghttps://puma.ub.uni-stuttgart.de/bibtex/2757197088a24e60024951ac9403df63b/sylviazursylviazur2021-03-23T11:41:49+01:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Lars von Wolff" itemprop="url" href="/person/17f19facef2dc7d537e13362eca7719c6/author/0"><span itemprop="name">L. von Wolff</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Felix Weinhardt" itemprop="url" href="/person/17f19facef2dc7d537e13362eca7719c6/author/1"><span itemprop="name">F. Weinhardt</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Holger Class" itemprop="url" href="/person/17f19facef2dc7d537e13362eca7719c6/author/2"><span itemprop="name">H. Class</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Johannes Hommel" itemprop="url" href="/person/17f19facef2dc7d537e13362eca7719c6/author/3"><span itemprop="name">J. Hommel</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Rohde" itemprop="url" href="/person/17f19facef2dc7d537e13362eca7719c6/author/4"><span itemprop="name">C. Rohde</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Transp. Porous Media</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">137 </span></span>(<span itemprop="issueNumber">2</span>):
<span itemprop="pagination">327--343</span></em> </span>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Tue Mar 23 11:41:49 CET 2021Transp. Porous Media2327--343Investigation of Crystal Growth in Enzymatically Induced Calcite Precipitation by Micro-Fluidic Experimental Methods and Comparison with Mathematical Modeling1372021ians imported vorlaeufig A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation lawshttps://puma.ub.uni-stuttgart.de/bibtex/2749eb24e6f20f7592df830ceba9140dd/sylviazursylviazur2020-09-14T10:29:19+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Jan Giesselmann" itemprop="url" href="/person/14e67d6a6e0e36c451c1476d5a542e1bf/author/0"><span itemprop="name">J. Giesselmann</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Fabian Meyer" itemprop="url" href="/person/14e67d6a6e0e36c451c1476d5a542e1bf/author/1"><span itemprop="name">F. Meyer</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Rohde" itemprop="url" href="/person/14e67d6a6e0e36c451c1476d5a542e1bf/author/2"><span itemprop="name">C. Rohde</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">BIT Numerical Mathematics</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">60 </span></span>(<span itemprop="issueNumber">3</span>):
<span itemprop="pagination">619-649</span></em> </span>(<em><span>2020<meta content="2020" itemprop="datePublished"/></span></em>)</span>Mon Sep 14 10:29:19 CEST 2020BIT Numerical Mathematics3619-649A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws602020ians imported vorlaeufig This article considers one-dimensional random systems of hyperbolic conservation laws. Existence and uniqueness of random entropy admissible solutions for initial value problems of conservation laws, which involve random initial data and random flux functions, are established. Based on these results an a posteriori error analysis for a numerical approximation of the random entropy solution is presented. For the stochastic discretization, a non-intrusive approach, namely the Stochastic Collocation method is used. The spatio-temporal discretization relies on the Runge–Kutta Discontinuous Galerkin method. The a posteriori estimator is derived using smooth reconstructions of the discrete solution. Combined with the relative entropy stability framework this yields computable error bounds for the entire space-stochastic discretization error. The estimator admits a splitting into a stochastic and a deterministic (space-time) part, allowing for a novel residual-based space-stochastic adaptive mesh refinement algorithm. The scaling properties of the residuals are investigated and the efficiency of the proposed adaptive algorithms is illustrated in various numerical examples.Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with L∞ strongly elliptic coefficient tensorhttps://puma.ub.uni-stuttgart.de/bibtex/2fef00bbac065b4339a6749160cfb5295/sylviazursylviazur2020-08-17T10:52:36+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Mirela Kohr" itemprop="url" href="/person/12e498699bde7a4bcba65064a67fcaa55/author/0"><span itemprop="name">M. Kohr</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Sergey E. Mikhailov" itemprop="url" href="/person/12e498699bde7a4bcba65064a67fcaa55/author/1"><span itemprop="name">S. Mikhailov</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Wolfgang L. Wendland" itemprop="url" href="/person/12e498699bde7a4bcba65064a67fcaa55/author/2"><span itemprop="name">W. Wendland</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Complex Variables and Elliptic Equations</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">65 </span></span>(<span itemprop="issueNumber">1</span>):
<span itemprop="pagination">109-140</span></em> </span>(<em><span>2020<meta content="2020" itemprop="datePublished"/></span></em>)</span>Mon Aug 17 10:52:36 CEST 2020Complex Variables and Elliptic Equations1109-140Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with L∞ strongly elliptic coefficient tensor652020ians imported vorlaeufig We obtain well-posedness results in Lp-based weighted Sobolev spaces for a transmission problem for anisotropic Stokes and Navier–Stokes systems with L∞ strongly elliptic coefficient tensor, in complementary Lipschitz domains of Rn, n≥3. The strong ellipticity allows to explore the associated pseudostress setting. First, we use a variational approach that reduces the anisotropic Stokes system in the whole Rn to an equivalent mixed variational formulation with data in Lp-based weighted Sobolev spaces. We show that such mixed variational formulation is well-posed in the space Hp1(Rn)n×Lp(Rn), n≥ 3, for any p in an open interval containing 2. Then similar well-posedness results are obtained for two linear transmission problems. These results are used to define the Newtonian and layer potential operators for the considered anisotropic Stokes system and to obtain mapping properties of these operators. The potentials are employed to show the well-posedness of some linear transmission problems, which then is combined with a fixed point theorem in order to show the well-posedness of a nonlinear transmission problem for the anisotropic Stokes and Navier–Stokes systems in Lp-based weighted Sobolev spaces, whenever the given data are small enough. An incompressible-compressible approach for droplet
impacthttps://puma.ub.uni-stuttgart.de/bibtex/232c22ddaa78e67e9abe6c47a6e8c20f3/sylviazursylviazur2020-07-13T09:22:59+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Lukas Ostrowski" itemprop="url" href="/person/1c8b443ea6f3b7c0527bdc643ab431be2/author/0"><span itemprop="name">L. Ostrowski</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Francescocarlo Massa" itemprop="url" href="/person/1c8b443ea6f3b7c0527bdc643ab431be2/author/1"><span itemprop="name">F. Massa</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/Book" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="name">Proceedings of the DIPSI Workshop 2019: Droplet ImpactPhenomena & Spray Investigations, Bergamo, Italy, 17th May 2019</span>, </em></span><em>page <span itemprop="pagination">18-21</span>. </em><em>Università degli studi di Bergamo, </em>(<em><span>2019<meta content="2019" itemprop="datePublished"/></span></em>)</span>Mon Jul 13 09:22:59 CEST 2020Proceedings of the DIPSI Workshop 2019: Droplet ImpactPhenomena \& Spray Investigations, Bergamo, Italy, 17th May 201918-21An incompressible-compressible approach for droplet
impact2019ians imported vorlaeufig Interface conditions for arbitrary flows in coupled porous-medium and free-flow systemshttps://puma.ub.uni-stuttgart.de/bibtex/2fdab0f98aed378177d7327d0841e2d83/sylviazursylviazur2020-07-06T11:13:04+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="E. Eggenweiler" itemprop="url" href="/person/1d361e84d78283cb35d002d9c8a1b73c6/author/0"><span itemprop="name">E. Eggenweiler</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="I. Rybak" itemprop="url" href="/person/1d361e84d78283cb35d002d9c8a1b73c6/author/1"><span itemprop="name">I. Rybak</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/Book" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="name">Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples</span>, </em></span><em>volume 323 of Springer Proceedings in Mathematics & Statistics, </em><em>page <span itemprop="pagination">345-353</span>. </em><em><span itemprop="publisher">Springer International Publishing</span>, </em>(<em><span>2020<meta content="2020" itemprop="datePublished"/></span></em>)</span>Mon Jul 06 11:13:04 CEST 2020Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples345-353Springer Proceedings in Mathematics \& StatisticsInterface conditions for arbitrary flows in coupled porous-medium and free-flow systems3232020ians imported vorlaeufig A dimensionally reduced Stokes-Darcy model for fluid flow in fractured porous mediahttps://puma.ub.uni-stuttgart.de/bibtex/21b4cb96ccac033b6864ebb8f41c4981b/sylviazursylviazur2020-06-25T15:07:08+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="I. Rybak" itemprop="url" href="/person/10eb5562c6272f70e02083fea6f27ae7a/author/0"><span itemprop="name">I. Rybak</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="S. Metzger" itemprop="url" href="/person/10eb5562c6272f70e02083fea6f27ae7a/author/1"><span itemprop="name">S. Metzger</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Appl. Math. Comp.</span>, </em> </span>(<em><span>2020<meta content="2020" itemprop="datePublished"/></span></em>)</span>Thu Jun 25 15:07:08 CEST 2020Appl. Math. Comp.A dimensionally reduced Stokes-Darcy model for fluid flow in fractured porous media3842020ians imported vorlaeufig DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model couplinghttps://puma.ub.uni-stuttgart.de/bibtex/204f0c85c121e0c9b2a9b4ac4a1d351d9/sylviazursylviazur2020-04-21T13:05:47+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Timo Koch" itemprop="url" href="/person/1451f09b23934ed5d97c3461894225e70/author/0"><span itemprop="name">T. Koch</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Dennis Gläser" itemprop="url" href="/person/1451f09b23934ed5d97c3461894225e70/author/1"><span itemprop="name">D. Gläser</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Kilian Weishaupt" itemprop="url" href="/person/1451f09b23934ed5d97c3461894225e70/author/2"><span itemprop="name">K. Weishaupt</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Sina Ackermann" itemprop="url" href="/person/1451f09b23934ed5d97c3461894225e70/author/3"><span itemprop="name">S. Ackermann</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Martin Beck" itemprop="url" href="/person/1451f09b23934ed5d97c3461894225e70/author/4"><span itemprop="name">M. Beck</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Beatrix Becker" itemprop="url" href="/person/1451f09b23934ed5d97c3461894225e70/author/5"><span itemprop="name">B. Becker</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Samuel Burbulla" itemprop="url" href="/person/1451f09b23934ed5d97c3461894225e70/author/6"><span itemprop="name">S. Burbulla</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Holger Class" itemprop="url" href="/person/1451f09b23934ed5d97c3461894225e70/author/7"><span itemprop="name">H. Class</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Edward Coltman" itemprop="url" href="/person/1451f09b23934ed5d97c3461894225e70/author/8"><span itemprop="name">E. Coltman</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Simon Emmert" itemprop="url" href="/person/1451f09b23934ed5d97c3461894225e70/author/9"><span itemprop="name">S. Emmert</span></a></span></span> and 14 other author(s). </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Computers & Mathematics with Applications</span>, </em> </span>(<em><span>2020<meta content="2020" itemprop="datePublished"/></span></em>)</span>Tue Apr 21 13:05:47 CEST 2020Computers & Mathematics with ApplicationsDuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling2020ians imported vorlaeufig We present version 3 of the open-source simulator for flow and transport processes in porous media DuMux. DuMux is based on the modular C++ framework Dune (Distributed and Unified Numerics Environment) and is developed as a research code with a focus on modularity and reusability. We describe recent efforts in improving the transparency and efficiency of the development process and community-building, as well as efforts towards quality assurance and reproducible research. In addition to a major redesign of many simulation components in order to facilitate setting up complex simulations in DuMux, version 3 introduces a more consistent abstraction of finite volume schemes. Finally, the new framework for multi-domain simulations is described, and three numerical examples demonstrate its flexibility.Verification benchmarks for single-phase flow in three-dimensional fractured porous mediahttps://puma.ub.uni-stuttgart.de/bibtex/2789d4d912dca1625b4064db9ea8033d2/sylviazursylviazur2020-04-20T19:00:44+02:00ians imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Inga Berre" itemprop="url" href="/person/1e1a29003964157ca82bea5bb22b0e328/author/0"><span itemprop="name">I. Berre</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Wietse M. Boon" itemprop="url" href="/person/1e1a29003964157ca82bea5bb22b0e328/author/1"><span itemprop="name">W. Boon</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Bernd Flemisch" itemprop="url" href="/person/1e1a29003964157ca82bea5bb22b0e328/author/2"><span itemprop="name">B. Flemisch</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Alessio Fumagalli" itemprop="url" href="/person/1e1a29003964157ca82bea5bb22b0e328/author/3"><span itemprop="name">A. Fumagalli</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Dennis Gläser" itemprop="url" href="/person/1e1a29003964157ca82bea5bb22b0e328/author/4"><span itemprop="name">D. Gläser</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Eirik Keilegavlen" itemprop="url" href="/person/1e1a29003964157ca82bea5bb22b0e328/author/5"><span itemprop="name">E. Keilegavlen</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Anna Scotti" itemprop="url" href="/person/1e1a29003964157ca82bea5bb22b0e328/author/6"><span itemprop="name">A. Scotti</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Ivar Stefansson" itemprop="url" href="/person/1e1a29003964157ca82bea5bb22b0e328/author/7"><span itemprop="name">I. Stefansson</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Alexandru Tatomir" itemprop="url" href="/person/1e1a29003964157ca82bea5bb22b0e328/author/8"><span itemprop="name">A. Tatomir</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Konstantin Brenner" itemprop="url" href="/person/1e1a29003964157ca82bea5bb22b0e328/author/9"><span itemprop="name">K. Brenner</span></a></span></span> and 16 other author(s). </span><span class="additional-entrytype-information">(<em><span>2020<meta content="2020" itemprop="datePublished"/></span></em>)</span>Mon Apr 20 19:00:44 CEST 2020Verification benchmarks for single-phase flow in three-dimensional fractured porous media2020ians imported vorlaeufig The low surface Péclet number regime for surfactant-laden viscous droplets: Influence of surfactant concentration, interfacial slip effects and cross migrationhttps://puma.ub.uni-stuttgart.de/bibtex/271304652bbfdcbd8c11f55ebfc01c35f/sylviazursylviazur2020-02-12T09:28:15+01:00imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="V. Sharanya" itemprop="url" href="/person/12f4db5dd22ea02fea8a3501145569abb/author/0"><span itemprop="name">V. Sharanya</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="G.P. Raja Sekhar" itemprop="url" href="/person/12f4db5dd22ea02fea8a3501145569abb/author/1"><span itemprop="name">G. Sekhar</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Rohde" itemprop="url" href="/person/12f4db5dd22ea02fea8a3501145569abb/author/2"><span itemprop="name">C. Rohde</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Int. J. of Multiph. Flow</span>, </em> </span>(<em><span>2018<meta content="2018" itemprop="datePublished"/></span></em>)</span>Wed Feb 12 09:28:15 CET 2020Int. J. of Multiph. Flow82 - 103The low surface Péclet number regime for surfactant-laden viscous droplets: Influence of surfactant concentration, interfacial slip effects and cross migration1072018imported vorlaeufig We consider the motion of a viscous drop in an arbitrary unsteady Stokes flow such that the surface of the drop is fully covered with a stagnant surfactant layer. In particular the regime of low surface Péclet number is analyzed and we account for the effect interfacial slip on the overall behavior of the flow field. The hydrodynamic problem is solved by the solenoidal decomposition method and the drag force is computed in terms of Faxen’s laws, using a perturbation ansatz in powers of the surface Péclet number. The surface equation of the deformed sphere has been determined by an iterative method up to the first order approximation. Analytical expressions for the migration velocity of the drop are likewise given. Based on this analysis we can completely characterize various flow situations including a given ambient flow as uniform flow, Couette flow and Poiseuille flow. Moreover, we find out that a surfactant-induced cross-stream migration of the drop occurs towards the center-line in both, Couette and Poiseuille flow cases. The variation of the drag force and the migration velocity is computed for different parameters such as the Péclet number and the Marangoni number. Finally, the theoretical findings are validated on with available experimental data.Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with L∞ strongly elliptic coefficient tensorhttps://puma.ub.uni-stuttgart.de/bibtex/2484c54c7a9dd2092d668dc2afb35c910/sylviazursylviazur2019-12-06T10:41:26+01:00imported vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Mirela Kohr" itemprop="url" href="/person/18e188a7528aa83a45ce2a6ffb6037619/author/0"><span itemprop="name">M. Kohr</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Sergey E. Mikhailov" itemprop="url" href="/person/18e188a7528aa83a45ce2a6ffb6037619/author/1"><span itemprop="name">S. Mikhailov</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Wolfgang L. Wendland" itemprop="url" href="/person/18e188a7528aa83a45ce2a6ffb6037619/author/2"><span itemprop="name">W. Wendland</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Complex Variables and Elliptic Equations</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">65 </span></span>(<span itemprop="issueNumber">1</span>):
<span itemprop="pagination">109-140</span></em> </span>(<em><span>2019<meta content="2019" itemprop="datePublished"/></span></em>)</span>Fri Dec 06 10:41:26 CET 2019Complex Variables and Elliptic Equations1109-140Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with L∞ strongly elliptic coefficient tensor652019imported vorlaeufig