Increasing the convergence rate to steady-state by using multiple penalty terms applied in a domain

Hannes Frenander; Jan Nordström

doi:10.2514/6.2013-2957

Increasing the convergence rate to steady-state by using multiple penalty terms applied in a domain

Hannes Frenander, Jan Nordström

Linköping University

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

Abstract

We introduce a new weak boundary procedure for high order finite difference methods applied to the linearized Euler and Navier-Stokes equations using summation-by-parts operators. Stability is obtained by using weak boundary conditions on penalty form. We demonstrate how to add on multiple penalties in the near boundary domain such that stability is preserved and an increased speed of convergence to steady-state is obtained.

Original language	English
DOIs	https://doi.org/10.2514/6.2013-2957
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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10.2514/6.2013-2957

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abstract = "We introduce a new weak boundary procedure for high order finite difference methods applied to the linearized Euler and Navier-Stokes equations using summation-by-parts operators. Stability is obtained by using weak boundary conditions on penalty form. We demonstrate how to add on multiple penalties in the near boundary domain such that stability is preserved and an increased speed of convergence to steady-state is obtained.",

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AU - Nordström, Jan

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AB - We introduce a new weak boundary procedure for high order finite difference methods applied to the linearized Euler and Navier-Stokes equations using summation-by-parts operators. Stability is obtained by using weak boundary conditions on penalty form. We demonstrate how to add on multiple penalties in the near boundary domain such that stability is preserved and an increased speed of convergence to steady-state is obtained.

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U2 - 10.2514/6.2013-2957

DO - 10.2514/6.2013-2957

M3 - Paper

AN - SCOPUS:85086949251

T2 - 21st AIAA Computational Fluid Dynamics Conference

Y2 - 24 June 2013 through 27 June 2013

ER -

Increasing the convergence rate to steady-state by using multiple penalty terms applied in a domain

Abstract

Conference

ASJC Scopus subject areas

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