Accurate and stable calculations involving shocks using a new hybrid scheme

Qaisar Abbas; Edwin Van Der Weide; Jan Nordstrom

doi:10.2514/6.2009-3985

Accurate and stable calculations involving shocks using a new hybrid scheme

Qaisar Abbas, Edwin Van Der Weide, Jan Nordstrom

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

5 Citations (Scopus)

Abstract

We develop a hybrid scheme consisting of a combination of a second order MUSCL scheme and a high order finite difference scheme. The full hybrid scheme is constructed in such a way that we can prove that it is conservative and stable for linear problems. We show by numerical experiments that it is high order accurate in smooth domains and oscillatory free close to shocks.

Original language	English
Title of host publication	19th AIAA Computational Fluid Dynamics Conference
Publisher	American Institute of Aeronautics and Astronautics Inc.
ISBN (Print)	9781563479755
DOIs	https://doi.org/10.2514/6.2009-3985
Publication status	Published - 2009
Externally published	Yes

Publication series

Name	19th AIAA Computational Fluid Dynamics Conference

ASJC Scopus subject areas

Automotive Engineering
Engineering (miscellaneous)

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10.2514/6.2009-3985

Cite this

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title = "Accurate and stable calculations involving shocks using a new hybrid scheme",

abstract = "We develop a hybrid scheme consisting of a combination of a second order MUSCL scheme and a high order finite difference scheme. The full hybrid scheme is constructed in such a way that we can prove that it is conservative and stable for linear problems. We show by numerical experiments that it is high order accurate in smooth domains and oscillatory free close to shocks.",

author = "Qaisar Abbas and {Van Der Weide}, Edwin and Jan Nordstrom",

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doi = "10.2514/6.2009-3985",

language = "English",

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series = "19th AIAA Computational Fluid Dynamics Conference",

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Accurate and stable calculations involving shocks using a new hybrid scheme. / Abbas, Qaisar; Van Der Weide, Edwin; Nordstrom, Jan.
19th AIAA Computational Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc., 2009. 2009-3985 (19th AIAA Computational Fluid Dynamics Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Accurate and stable calculations involving shocks using a new hybrid scheme

AU - Abbas, Qaisar

AU - Van Der Weide, Edwin

AU - Nordstrom, Jan

PY - 2009

Y1 - 2009

N2 - We develop a hybrid scheme consisting of a combination of a second order MUSCL scheme and a high order finite difference scheme. The full hybrid scheme is constructed in such a way that we can prove that it is conservative and stable for linear problems. We show by numerical experiments that it is high order accurate in smooth domains and oscillatory free close to shocks.

AB - We develop a hybrid scheme consisting of a combination of a second order MUSCL scheme and a high order finite difference scheme. The full hybrid scheme is constructed in such a way that we can prove that it is conservative and stable for linear problems. We show by numerical experiments that it is high order accurate in smooth domains and oscillatory free close to shocks.

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U2 - 10.2514/6.2009-3985

DO - 10.2514/6.2009-3985

M3 - Conference contribution

AN - SCOPUS:77958480831

SN - 9781563479755

T3 - 19th AIAA Computational Fluid Dynamics Conference

BT - 19th AIAA Computational Fluid Dynamics Conference

PB - American Institute of Aeronautics and Astronautics Inc.

ER -

Accurate and stable calculations involving shocks using a new hybrid scheme

Abstract

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ASJC Scopus subject areas

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