Datum
2021-12-14Autor
Ortleb, SigrunSchlagwort
620 Ingenieurwissenschaften TetracyclinAdvektion-DiffusionsgleichungNumerisches VerfahrenComputerunterstütztes VerfahrenMetadata
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Aufsatz
IMEX-DG Schemes for Advection-Diffusion Problems using Term-based or Domain-based IMEX Splitting
Zusammenfassung
IMEX partitioning may be based on a decomposition of the computational domain into two subgrids by implicitly discretizing the unknowns on the smallest cells while explicit time stepping is applied to moderately sized elements. Alternatively, advection-diffusion IMEX splitting applies implicit time discretization only to the viscous terms while inviscid terms are discretized explicitly. Analytical investigations have shown that a careful choice of both the specific IMEX scheme and the particular DG approach yield an additional stability property of such schemes resulting in time step restrictions independent of grid refinement. In this contribution, we will compare the domain-based IMEX partitioning to advection-diffusion splitting with respect to time step restrictions and efficiency.
Zitierform
In: Proceedings in applied mathematics and mechanics (PAMM) Volume 21 / Issue 1 (2021-12-14) eissn:1617-7061Förderhinweis
Gefördert im Rahmen des Projekts DEALZitieren
@article{doi:10.17170/kobra-202112165263,
author={Ortleb, Sigrun},
title={IMEX-DG Schemes for Advection-Diffusion Problems using Term-based or Domain-based IMEX Splitting},
journal={Proceedings in applied mathematics and mechanics (PAMM)},
year={2021}
}
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2022-02-16T09:18:59Z 2022-02-16T09:18:59Z 2021-12-14 doi:10.17170/kobra-202112165263 http://hdl.handle.net/123456789/13624 Gefördert im Rahmen des Projekts DEAL eng Namensnennung 4.0 International http://creativecommons.org/licenses/by/4.0/ 620 IMEX-DG Schemes for Advection-Diffusion Problems using Term-based or Domain-based IMEX Splitting Aufsatz IMEX partitioning may be based on a decomposition of the computational domain into two subgrids by implicitly discretizing the unknowns on the smallest cells while explicit time stepping is applied to moderately sized elements. Alternatively, advection-diffusion IMEX splitting applies implicit time discretization only to the viscous terms while inviscid terms are discretized explicitly. Analytical investigations have shown that a careful choice of both the specific IMEX scheme and the particular DG approach yield an additional stability property of such schemes resulting in time step restrictions independent of grid refinement. In this contribution, we will compare the domain-based IMEX partitioning to advection-diffusion splitting with respect to time step restrictions and efficiency. open access Ortleb, Sigrun doi:10.1002/pamm.202100140 Tetracyclin Advektion-Diffusionsgleichung Numerisches Verfahren Computerunterstütztes Verfahren publishedVersion eissn:1617-7061 Issue 1 Proceedings in applied mathematics and mechanics (PAMM) Volume 21 false e202100140
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