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Título: | eXtended hybridizable discontinuous Galerkin (X-HDG) for void and bimaterial problems |
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Autor/a: | Gurkan, Ceren; Sala Lardies, Esther; Kronbichler, Martin; Fernández Méndez, Sonia |
Otros autores: | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
Abstract: | |
Abstract: | |
Materia(s): | -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 |
Derechos: | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Tipo de documento: | Artículo - Versión presentada Capítulo o parte de libro |
Editor: | Springer |
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