The SBP-SAT technique for time-discretization

Tomas Lundquist; Jan Nordström

doi:10.2514/6.2013-2834

The SBP-SAT technique for time-discretization

Tomas Lundquist, Jan Nordström

Linköping University

Research output: Contribution to conference › Paper › peer-review

1 Citation (Scopus)

Abstract

We show how the SBP-SAT technique can be used to derive a new family of methods for the time integration of initial value problems producing optimally sharp energy estimates. Some stability properties relevant for these methods are studied in detail, and accuracy results for both non-stiff and stiff problems are presented. We show that the technique is particularly suitable for the time integration of energy stable semi-discrete problems.

Original language	English
DOIs	https://doi.org/10.2514/6.2013-2834
Publication status	Published - 2013
Externally published	Yes
Event	21st AIAA Computational Fluid Dynamics Conference - San Diego, CA, United States Duration: 24 Jun 2013 → 27 Jun 2013

Conference

Conference	21st AIAA Computational Fluid Dynamics Conference
Country/Territory	United States
City	San Diego, CA
Period	24/06/13 → 27/06/13

ASJC Scopus subject areas

Fluid Flow and Transfer Processes
Energy Engineering and Power Technology
Aerospace Engineering
Mechanical Engineering

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10.2514/6.2013-2834

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AU - Nordström, Jan

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AB - We show how the SBP-SAT technique can be used to derive a new family of methods for the time integration of initial value problems producing optimally sharp energy estimates. Some stability properties relevant for these methods are studied in detail, and accuracy results for both non-stiff and stiff problems are presented. We show that the technique is particularly suitable for the time integration of energy stable semi-discrete problems.

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DO - 10.2514/6.2013-2834

M3 - Paper

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T2 - 21st AIAA Computational Fluid Dynamics Conference

Y2 - 24 June 2013 through 27 June 2013

ER -

The SBP-SAT technique for time-discretization

Abstract

Conference

ASJC Scopus subject areas

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