المؤلفون: Gurkan, Ceren, Sala Lardies, Esther, Kronbichler, Martin, Fernández Méndez, Sonia

المساهمون: Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria

مصطلحات موضوعية: Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica::Equacions funcionals, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics, Difference equations, Fluid dynamics (Mathematics), A strategy for the Hybridizable Discontinuous Galerkin (HDG) solution of problems with voids, inclusions, free surfaces, and material interfaces is proposed. It is based on an eXtended Finite Element (X-FEM) philosophy with a level-set description of interfaces where the computational mesh is not required to fit the interface (i.e. the boundary). This reduces the cost of mesh generation and, in particular, avoids continuous remeshing for evolving interfaces. Differently to previous proposals for the HDG solution with unfitting meshes, the computational mesh covers the domain in our approach, avoiding extrapolations and ensuring the robustness of the method. The local problem in elements not cut by the interface and the global problem are discretized as usual in HDG. A modified local problem is considered for elements cut by the interface. At every cut element, an auxiliary trace variable on the boundary is introduced, which is eliminated afterwards using interface conditions, keeping the original unknowns ., Equacions en diferències, Mecànica de fluids, Classificació AMS::65 Numerical analysis::65Q05 Difference and functional equations, recurrence relations, Classificació AMS::76 Fluid mechanics::76M Basic methods in fluid mechanics

وصف الملف: 20 p.

Relation: https://link.springer.com/book/10.1007%2F978-3-319-41246-7; Gurkan, C., Sala-Lardies, E., Kronbichler, M., Fernandez, S. eXtended hybridizable discontinuous Galerkin (X-HDG) for void and bimaterial problems. A: "Advances in discretization methods. Discontinuities, virtual elements, fictitious domain methods". Berlín: Springer, 2016, p. 103-122.; http://hdl.handle.net/2117/102044

الاتاحة: http://hdl.handle.net/2117/102044
https://doi.org/10.1007/978-3-319-41246-7

المؤلفون: Martin Kronbichler, Esther Sala-Lardies, Ceren Gürkan, Sonia Fernández-Méndez

المساهمون: Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria

المصدر: SEMA SIMAI Springer Series ISBN: 9783319412450
Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

مصطلحات موضوعية: which is eliminated afterwards using interface conditions, Difference equations, Void (astronomy), Matemàtiques i estadística::Investigació operativa::Programació matemàtica [Àrees temàtiques de la UPC], Discretization, inclusions, avoiding extrapolations and ensuring the robustness of the method. The local problem in elements not cut by the interface and the global problem are discretized as usual in HDG. A modified local problem is considered for elements cut by the interface. At every cut element, 90 Operations research, mathematical programming::90C Mathematical programming [Classificació AMS], keeping the original unknowns, Equacions en diferències, symbols.namesake, Ingenieurwissenschaften, Number theory, Discontinuous Galerkin method, 11 Number theory::11Y Computational number theory [Classificació AMS], Mecànica de fluids, Programació (Matemàtica), Applied mathematics, Polygon mesh, an auxiliary trace variable on the boundary is introduced, 65 Numerical analysis::65Q05 Difference and functional equations, recurrence relations [Classificació AMS], A strategy for the Hybridizable Discontinuous Galerkin (HDG) solution of problems with voids, Mathematics, in particular, Programming (Mathematics), Heaviside step function, Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics [Àrees temàtiques de la UPC], Nombres, Teoria dels, Superconvergence, Finite element method, 76 Fluid mechanics::76M Basic methods in fluid mechanics [Classificació AMS], avoids continuous remeshing for evolving interfaces. Differently to previous proposals for the HDG solution with unfitting meshes, Mesh generation, free surfaces, symbols, and material interfaces is proposed. It is based on an eXtended Finite Element (X-FEM) philosophy with a level-set description of interfaces where the computational mesh is not required to fit the interface (i.e. the boundary). This reduces the cost of mesh generation and, the computational mesh covers the domain in our approach, Matemàtiques i estadística::Anàlisi matemàtica::Equacions funcionals [Àrees temàtiques de la UPC], ddc:620, Fluid dynamics (Mathematics), Algorithm

وصف الملف: application/pdf; Text

URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51c58dcda7ca601f52945d2b511f80d9
https://doi.org/10.1007/978-3-319-41246-7_5

المؤلفون: Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria, Gürkan, Ceren, Sala Lardies, Esther, Kronbichler, Martin, Fernández Méndez, Sonia

مصطلحات الفهرس: Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica::Equacions funcionals, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics, Difference equations, Fluid dynamics (Mathematics), A strategy for the Hybridizable Discontinuous Galerkin (HDG) solution of problems with voids, inclusions, free surfaces, and material interfaces is proposed. It is based on an eXtended Finite Element (X-FEM) philosophy with a level-set description of interfaces where the computational mesh is not required to fit the interface (i.e. the boundary). This reduces the cost of mesh generation and, in particular, avoids continuous remeshing for evolving interfaces. Differently to previous proposals for the HDG solution with unfitting meshes, the computational mesh covers the domain in our approach, avoiding extrapolations and ensuring the robustness of the method. The local problem in elements not cut by the interface and the global problem are discretized as usual in HDG. A modified local problem is considered for elements cut by the interface. At every cut element, an auxiliary trace variable on the boundary is introduced, which is eliminated afterwards using interface conditions, keeping the original unknowns ..., Equacions en diferències, Mecànica de fluids, Classificació AMS::65 Numerical analysis::65Q05 Difference and functional equations, recurrence relations, Classificació AMS::76 Fluid mechanics::76M Basic methods in fluid mechanics, Part of book or chapter of book

URL: http://hdl.handle.net/2117/102044
https://link.springer.com/book/10.1007%2F978-3-319-41246-7
https://link.springer.com/book/10.1007%2F978-3-319-41246-7