{ "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/2b10a0eb2c66bb59ceb490c404fe58733/elkepeter", "tags" : [ "Lienstromberg","iadm","two-fluid","flow","Taylor-Couette" ], "intraHash" : "b10a0eb2c66bb59ceb490c404fe58733", "interHash" : "8342a752023f99883f9e7184f4b4e3b3", "label" : "Analysis of a two-fluid Taylor-Couette flow with one non-Newtonian fluid", "user" : "elkepeter", "description" : "", "date" : "2023-03-27 10:57:03", "changeDate" : "2024-01-12 14:51:07", "count" : 2, "pub-type": "article", "journal": "J. Nonlinear Sci.", "year": "2022", "url": "https://doi.org/10.1007/s00332-021-09750-0", "author": [ "Christina Lienstromberg","Tania Pernas-Castano","Juan J. L. Velázquez" ], "authors": [ {"first" : "Christina", "last" : "Lienstromberg"}, {"first" : "Tania", "last" : "Pernas-Castano"}, {"first" : "Juan J. L.", "last" : "Velázquez"} ], "volume": "32","number": "2","pages": "Paper No. 24, 55","abstract": "Summary: \"We study the dynamic behaviour of two viscous fluid films confined between two concentric cylinders rotating at a small relative velocity. It is assumed that the fluids are immiscible and that the volume of the outer fluid film is large compared to the volume of the inner one. Moreover, while the outer fluid is considered to have constant viscosity, the rheological behaviour of the inner thin film is determined by a strain-dependent power-law. Starting from a Navier-Stokes system, we formally derive evolution equations for the interface separating the two fluids. Two competing effects drive the dynamics of the interface, namely the surface tension and the shear stresses induced by the rotation of the cylinders. When the two effects are comparable, the solutions behave, for large times, as in the Newtonian regime. We also study the regime in which the surface tension effects dominate the stresses induced by the rotation of the cylinders. In this case, we prove local existence of positive weak solutions both for shear-thinning and shear-thickening fluids. In the latter case, we show that interfaces which are initially close to a circle converge to a circle in finite time and keep that shape for later times.''", "mrclass" : "76A20 (35Q35 76A05)", "fjournal" : "Journal of Nonlinear Science", "mrnumber" : "4382654", "issn" : "0938-8974", "doi" : "10.1007/s00332-021-09750-0", "bibtexKey": "MR4382654" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/242d1b78569ecd89f80f0f48af825ce75/mhartmann", "tags" : [ "in","Conservation","porous","function,","capillarity,","limit,","media.","flux","singular","law,","dynamic","discontinuous","vorlaeufig","flow","two-phase" ], "intraHash" : "42d1b78569ecd89f80f0f48af825ce75", "interHash" : "dfd390454fe4506ee81abb066cb2a4d4", "label" : "On the singular limit of a two-phase flow equation with heterogeneities\n\tand dynamic capillary pressure", "user" : "mhartmann", "description" : "", "date" : "2018-07-20 10:54:15", "changeDate" : "2018-07-20 08:54:15", "count" : 2, "pub-type": "article", "journal": "ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift\n\tfür Angewandte Mathematik und Mechanik","publisher":"WILEY-VCH Verlag", "year": "2013", "url": "http://dx.doi.org/10.1002/zamm.201200141", "author": [ "F. Kissling","K.H. Karlsen" ], "authors": [ {"first" : "F.", "last" : "Kissling"}, {"first" : "K.H.", "last" : "Karlsen"} ], "pages": "n/a--n/a","abstract": "We consider conservation laws with spatially discontinuous flux that\n\tare perturbed by diffusion and dispersion terms. These equations\n\tarise in a theory of two-phase flow in porous media that includes\n\trate-dependent (dynamic) capillary pressure and spatial heterogeneities.\n\tWe investigate the singular limit as the diffusion and dispersion\n\tparameters tend to zero, showing strong convergence towards a weak\n\tsolution of the limit conservation law.", "issn" : "1521-4001", "doi" : "10.1002/zamm.201200141", "bibtexKey": "kissling2013singular" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/23886d742461971b380dfbfdfbab7f0bc/mhartmann", "tags" : [ "volume","in","method","finite","media;","stochastic","porous","Flow","vorlaeufig","Hybrid","Galerkin" ], "intraHash" : "3886d742461971b380dfbfdfbab7f0bc", "interHash" : "9edc4b7e189ef751cf0e8c97b22240ef", "label" : "Stochastic Modeling for Heterogeneous Two-Phase Flow", "user" : "mhartmann", "description" : "", "date" : "2018-07-20 10:54:15", "changeDate" : "2018-07-20 08:54:15", "count" : 3, "pub-type": "incollection", "booktitle": "Finite Volumes for Complex Applications VII-Methods and Theoretical\n\tAspects","series": "Springer Proceedings in Mathematics & Statistics","publisher":"Springer International Publishing", "year": "2014", "url": "http://dx.doi.org/10.1007/978-3-319-05684-5_34", "author": [ "M. Köppel","I. Kröker","C. Rohde" ], "authors": [ {"first" : "M.", "last" : "Köppel"}, {"first" : "I.", "last" : "Kröker"}, {"first" : "C.", "last" : "Rohde"} ], "editor": [ "Jürgen Fuhrmann","Mario Ohlberger","Christian Rohde" ], "editors": [ {"first" : "Jürgen", "last" : "Fuhrmann"}, {"first" : "Mario", "last" : "Ohlberger"}, {"first" : "Christian", "last" : "Rohde"} ], "volume": "77","pages": "353-361", "isbn" : "978-3-319-05683-8", "owner" : "seusdd", "language" : "English", "doi" : "10.1007/978-3-319-05684-5_34", "bibtexKey": "koppel2014stochastic" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/23cb83562fd4a436e376d28712fe58a37/mhartmann", "tags" : [ "simulation;","Real-time","models","system;","Material","dynamic","vorlaeufig","flow","System" ], "intraHash" : "3cb83562fd4a436e376d28712fe58a37", "interHash" : "f49a945ea15206c6cd60d4db77a8d5a5", "label" : "System Dynamic Models and Real-time Simulation of Complex Material\n\tFlow Systems", "user" : "mhartmann", "description" : "", "date" : "2018-07-20 10:54:15", "changeDate" : "2018-07-20 08:54:15", "count" : 2, "pub-type": "incollection", "booktitle": "Enabling Manufacturing Competitiveness and Economic Sustainability","publisher":"Springer Berlin Heidelberg", "year": "2012", "url": "http://dx.doi.org/10.1007/978-3-642-23860-4_52", "author": [ "S. Hoher","P. Schindler","S. G?ttlich","V. Schleper","S. Röck" ], "authors": [ {"first" : "S.", "last" : "Hoher"}, {"first" : "P.", "last" : "Schindler"}, {"first" : "S.", "last" : "G?ttlich"}, {"first" : "V.", "last" : "Schleper"}, {"first" : "S.", "last" : "Röck"} ], "editor": [ "Hoda A. ElMaraghy" ], "editors": [ {"first" : "Hoda A.", "last" : "ElMaraghy"} ], "pages": "316-321", "isbn" : "978-3-642-23859-8", "owner" : "schleper", "language" : "English", "doi" : "10.1007/978-3-642-23860-4_52", "bibtexKey": "hoher2012system" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2832dacbae634d8ae21c67ac44f94850c/mhartmann", "tags" : [ "models,","peripheral","kernel","simulations","reduced","mixed-dimension","methods,","blood","simulations,","stenosis,","real-time","dimensionally","surrogate","vorlaeufig","flow" ], "intraHash" : "832dacbae634d8ae21c67ac44f94850c", "interHash" : "979f2097ba9c22d67096e59e5c6d7a3e", "label" : "Numerical modelling of a peripheral arterial stenosis using dimensionally\n\treduced models and kernel methods", "user" : "mhartmann", "description" : "", "date" : "2018-07-20 10:54:15", "changeDate" : "2018-07-20 08:54:15", "count" : 4, "pub-type": "article", "journal": "International Journal for Numerical Methods in Biomedical Engineering", "year": "2018", "url": "https://onlinelibrary.wiley.com/doi/abs/10.1002/cnm.3095", "author": [ "Tobias Köppl","Gabriele Santin","Bernard Haasdonk","Rainer Helmig" ], "authors": [ {"first" : "Tobias", "last" : "Köppl"}, {"first" : "Gabriele", "last" : "Santin"}, {"first" : "Bernard", "last" : "Haasdonk"}, {"first" : "Rainer", "last" : "Helmig"} ], "volume": "0","number": "ja","pages": "e3095","note": "e3095 cnm.3095","abstract": "Summary In this work, we consider two kinds of model reduction techniquesto\n\tsimulate blood flow through the largest systemic arteries, where\n\ta stenosis is located in a peripheral artery i.e. in an artery that\n\tis located far away from the heart. For our simulations we place\n\tthe stenosis in one of the tibial arteries belonging to the right\n\tlower leg (right post tibial artery). The model reduction techniques\n\tthat are used are on the one hand dimensionally reduced models (1-Dand\n\t0-D models, the so-called mixed-dimension model) and on the other\n\thand surrogate models produced by kernel methods. Both methods are\n\tcombined in such a way that the mixed-dimension models yield training\n\tdata for the surrogate model, where the surrogate model is parametrisedby\n\tthe degree of narrowing of the peripheral stenosis. By means of a\n\twell-trained surrogate model, we show that simulation data can be\n\treproduced with a satisfactory accuracy and that parameter optimisation\n\tor state estimation problems can be solved in a very efficient way.\n\tFurthermore it is demonstrated that a surrogate model enables us\n\tto present after a very short simulation time the impact of a varying\n\tdegree of stenosis on blood flow, obtaining a speedup of several\n\torders over the full model.", "file" : ":http\\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/KSHH2017_www_preprint.pdf:PDF", "owner" : "santinge", "doi" : "10.1002/cnm.3095", "bibtexKey": "koppl2018numerical" } ] }