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Title:
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Time-accurate solution of stabilized convection-diffusion-reaction equations: II - accuracy analysis and examples
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Author:
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Huerta, Antonio; Roig, B; Donea, J
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
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Abstract:
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The paper addresses the development of time-accurate methods for solving transient convection-diffusion -reaction problems using finite elements. The accuracy characteristics of the spatially stabilized implicit multi-stage time-stepping schemes developed in a companion paper (Part I of this work) are analysed and compared here. This is done by means of a Fourier analysis. An important improvement is observed when the order of the method is increased. Moreover, the stabilization techniques proposed (streamline-upwind Petrov-Galerkin (SUPG), Galerkin least-square (GLS), sub-grid scale (SGS) and least squares) do not degrade the phase accuracy. Finally, some examples are presented to show the applicability of these schemes. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
-Finite element method
-Spatial analysis
-convection-diffusion-reaction
-time-stepping schemes
-stabilization
-least squares
-finite element method
-Elements finits, Mètode dels -- Anàlisi numèrica |
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Rights:
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Document type:
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Article - Submitted version
Article |
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