{ "types" : { "Bookmark" : { "pluralLabel" : "Bookmarks" }, "Publication" : { "pluralLabel" : "Publications" }, "GoldStandardPublication" : { "pluralLabel" : "GoldStandardPublications" }, "GoldStandardBookmark" : { "pluralLabel" : "GoldStandardBookmarks" }, "Tag" : { "pluralLabel" : "Tags" }, "User" : { "pluralLabel" : "Users" }, "Group" : { "pluralLabel" : "Groups" }, "Sphere" : { "pluralLabel" : "Spheres" } }, "properties" : { "count" : { "valueType" : "number" }, "date" : { "valueType" : "date" }, "changeDate" : { "valueType" : "date" }, "url" : { "valueType" : "url" }, "id" : { "valueType" : "url" }, "tags" : { "valueType" : "item" }, "user" : { "valueType" : "item" } }, "items" : [ { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2c3e01e05c13c7df1767d793cd87277a1/mhartmann", "tags" : [ "Ferroelectric","of","maximum","Variational","Principle","dissipation","hysteresis,","vorlaeufig","inequality," ], "intraHash" : "c3e01e05c13c7df1767d793cd87277a1", "interHash" : "72ee6ff7de36af3e9f85cfc93853cfb8", "label" : "Modeling of ferroelectric hysteresis as variational inequality", "user" : "mhartmann", "description" : "", "date" : "2018-07-20 10:54:15", "changeDate" : "2018-07-20 08:54:15", "count" : 3, "pub-type": "article", "journal": "GAMM-Mitteilungen","publisher":"WILEY-VCH Verlag", "year": "2011", "url": "http://dx.doi.org/10.1002/gamm.201110013", "author": [ "Michael Kutter","Anna-Margarete Sändig" ], "authors": [ {"first" : "Michael", "last" : "Kutter"}, {"first" : "Anna-Margarete", "last" : "Sändig"} ], "volume": "34","number": "1","pages": "84--89","abstract": "Ferroelectric materials are characterized by interaction-effects of\n\tmechanical and electrical fields due to different polarization directions\n\tof the unit cells. The relations between polarisation and electric\n\tfield and mechanical strain and electric field respectively can be\n\tdescribed by hysteresis curves. Some models, which describe the ferroelectric\n\tmaterial behaviour, e.g. [3], [8], rely on concepts close to elastoplasticity.\n\tWe use these ideas and derive variational evolution inequalities\n\tanalogously to elastoplastic models discussed in [1]. Based on these\n\tinequalities we formulate equivalent mathematical problems and get\n\tsome existence results. The formulation of variational evolution\n\tinequalities is a good starting point for numerical methods similar\n\tto elastoplasticity (� 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)", "issn" : "1522-2608", "doi" : "10.1002/gamm.201110013", "bibtexKey": "kutter2011modeling" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/25a0f256fc25c38578d18cb42bbc16073/hermann", "tags" : [ "Collocation}","De-aliasing;","Large","Stability;","method;","{Discontinuous","simulation;","Smagorinsky","Galerkin;","Variational","model;","eddy","multiscale" ], "intraHash" : "5a0f256fc25c38578d18cb42bbc16073", "interHash" : "cd5d1b10b22291c542ef46b9992e123d", "label" : "On the Influence of Polynomial De-aliasing on Subgrid Scale Models", "user" : "hermann", "description" : "", "date" : "2017-05-18 11:32:12", "changeDate" : "2017-05-18 09:32:12", "count" : 1, "pub-type": "article", "journal": "FLOW TURBULENCE AND COMBUSTION","publisher":"SPRINGER","address":"VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS", "year": "{2016}", "url": "", "author": [ "Andrea D. Beck","David G. Flad","Claudia Tonhaeuser","Gregor Gassner","Claus-Dieter Munz" ], "authors": [ {"first" : "Andrea D.", "last" : "Beck"}, {"first" : "David G.", "last" : "Flad"}, {"first" : "Claudia", "last" : "Tonhaeuser"}, {"first" : "Gregor", "last" : "Gassner"}, {"first" : "Claus-Dieter", "last" : "Munz"} ], "volume": "97","number": "2","pages": "475-511","abstract": "In this work we investigate the interplay of polynomial de-aliasing and\n sub-grid scale models for large eddy simulations based on discontinuous\n Galerkin discretizations. It is known that stability is a major concern\n when simulating underresolved turbulent flows with high order nodal\n collocation type discretizations. By changing the interpolatory\n character of the nodal collocation type discretization to a projection\n based discretization by increasing the number of quadrature points\n (polynomial de-aliasing), one is able to remove the aliasing induced\n stability problems. We focus on this effect and on the consequence for\n large eddy simulations with explicit subgrid scale models. Often,\n subgrid scale models have to achieve two possibly conflicting tasks in a\n single simulation: firstly stabilizing the numerics and secondly\n modeling the physical effect of the missing scales. Within a\n discontinuous Galerkin approach, it is possible to use either a fast\n (but potentially aliasing afflicted) nodal collocation discretization or\n a projection-based (but computationally costly) variant in combination\n with an explicit subgrid scale model. We use this framework to\n investigate the effect on the appropriate model parameter of a standard\n Smagorinsky subgrid scale model and of a Variational Multiscale\n Smagorinsky formulation. For this we first consider the 3-D viscous\n Taylor-Green vortex example to investigate the impact on the stability\n of the method and second the turbulent flow past a circular cylinder to\n investigate and compare the accuracy of the results. We show that the\n aliasing instabilities of collocative discretizations severely limit the\n choice of the model constant, in particular for high order schemes,\n while for de-aliased DG schemes, the closure model parameters can be\n chosen independently from the numerical scheme. For the cylinder flow,\n we also find that for the same model settings, the projection-based\n results are in better agreement with the reference DNS than those of the\n collocative scheme.", "author-email" : "beck@iag.uni-stuttgart.de", "eissn" : "1573-1987", "issn" : "1386-6184", "keywords-plus" : "LARGE-EDDY SIMULATION; NAVIER-STOKES EQUATIONS; FINITE-ELEMENT-METHOD;\n DISCONTINUOUS GALERKIN METHODS; TAYLOR-GREEN VORTEX; CIRCULAR-CYLINDER;\n CONSERVATION-LAWS; TURBULENCE; FLOWS; WAKE", "number-of-cited-references" : "68", "web-of-science-categories" : "Thermodynamics; Mechanics", "affiliation" : "Beck, AD (Reprint Author), Univ Stuttgart, Inst Aerodynam & Gasdynam, Pfaffenwaldring 21, D-70550 Stuttgart, Germany.\n Beck, Andrea D.; Flad, David G.; Tonhaeuser, Claudia; Munz, Claus-Dieter, Univ Stuttgart, Inst Aerodynam & Gasdynam, Pfaffenwaldring 21, D-70550 Stuttgart, Germany.\n Gassner, Gregor, Univ Cologne, Math Inst, Weyertal 86-90, D-50923 Cologne, Germany.", "research-areas" : "Thermodynamics; Mechanics", "language" : "English", "times-cited" : "0", "doi" : "10.1007/s10494-016-9704-y", "bibtexKey": "ISI:000380791200005" } ] }