Title:
|
High-order accurate time-stepping schemes for convection-diffusion problems
|
Author:
|
Donea, J; Roig, B; Huerta, Antonio
|
Other authors:
|
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
Abstract:
|
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. |
Abstract:
|
Peer Reviewed |
Subject(s):
|
-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 |
Rights:
|
|
Document type:
|
Article - Submitted version Article |
Share:
|
|