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Title:
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High-order accurate time-stepping schemes for convection-diffusion problems
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Author:
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Donea, J; Roig, B; Huerta, Antonio
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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 discusses the formulation of high-order accurate time-stepping schemes for transient convection–diffusion problems to be combined with finite element methods of the least-squares type for a stable discretization of highly convective problems. Padé approximations of the exponential function are considered for deriving multi-stage time integration schemes involving first time derivatives only, thus easier to implement in conjunction with C0 finite elements than standard time-stepping schemes which incorporate higher-order time derivatives. After a brief discussion of the stability and accuracy properties of the multi-stage Padé schemes and having underlined the similarity between Padé and Runge–Kutta methods, the paper closes with the presentation of illustrative examples which indicate the effectiveness of the proposed methods. |
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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
-Àrees temàtiques de la UPC::Física::Física de fluids
-Finite element method
-Fluid dynamics--Mathematical models
-Convection–diffusion
-Time-stepping schemes
-Padé approximants
-Finite elements
-Elements finits, Mètode dels
-Dinàmica de fluids -- Mètodes numèrics |
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Rights:
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Document type:
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Article - Submitted version
Article |
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