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Title:
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Adaptive finite element simulation of incompressible flows by hybrid continuous-discontinuous Galerkin formulations
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Author:
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Badia, Santiago; Baiges Aznar, Joan
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria; Escola Tècnica Superior d'Enginyers de Camins, Canals i Ports de Barcelona; Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus |
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Abstract:
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In this work we design hybrid continuous-discontinuous finite element spaces that permit discontinuities on non-matching element interfaces of non-conforming meshes. Then, we develop an equal-order stabilized finite element formulation for incompressible flows over these hybrid spaces, which combines the element interior stabilization of SUPGtype continuous Galerkin formulations and the jump stabilization of discontinuous Galerkin formulations. Optimal stability and convergence results are obtained. For the adaptive setting, we use an standard error estimator and marking strategy. Numerical experiments show the optimal accuracy of the hybrid algorithm both for uniformly and adaptively refined non-conforming meshes. The outcome of this work is a finite element formulation that can naturally be used on nonconforming meshes, as discontinuous Galerkin formulations, while keeping the much lower CPU cost of continuous Galerkin
formulations. |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
-Àrees temàtiques de la UPC::Física::Física de fluids
-Galerkin methods
-Fluids--Mathematical models
-Incompressible flows
-adaptive refinement
-continuous-discontinuous Galerkin
-equal-order interpolation
-stabilization
-Galerkin, Mètodes de
-Fluids -- Models matemàtics |
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Rights:
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Document type:
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Article - Published version
Article |
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