A new technique for finite difference WENO with geometric conservation law

Taku Nonomura; Daiki Terakado; Yoshiaki Abe; Kozo Fujii

A new technique for finite difference WENO with geometric conservation law

Taku Nonomura, Daiki Terakado, Yoshiaki Abe, Kozo Fujii

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

Abstract

A new technique for a finite-difference weighted essentially nonoscillatory scheme (WENO) to satisfy the geometric conservation law on an arbitrary grid system is introduced. This new technique first divides the finite difference WENO into two parts: 1) a consistent central difference part and 2) a numerical dissipation part. For the consistent central difference part, the conservative metric technique is straightforwardly adapted. For the numerical dissipation part, it is proposed that the metric term is frozen for constructing the upwinding flux. This treatment only affects the numerical dissipation part, and the order of accuracy is maintained. With this technique, the freestream is perfectly preserved, and also the flow fields are better resolved on wavy and random grids.

Original language	English
Publication status	Published - 2013 Sept 13
Externally published	Yes
Event	21st AIAA Computational Fluid Dynamics Conference - San Diego, CA, United States Duration: 2013 Jun 24 → 2013 Jun 27

Other

Other	21st AIAA Computational Fluid Dynamics Conference
Country/Territory	United States
City	San Diego, CA
Period	13/6/24 → 13/6/27

ASJC Scopus subject areas

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

Cite this

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title = "A new technique for finite difference WENO with geometric conservation law",

abstract = "A new technique for a finite-difference weighted essentially nonoscillatory scheme (WENO) to satisfy the geometric conservation law on an arbitrary grid system is introduced. This new technique first divides the finite difference WENO into two parts: 1) a consistent central difference part and 2) a numerical dissipation part. For the consistent central difference part, the conservative metric technique is straightforwardly adapted. For the numerical dissipation part, it is proposed that the metric term is frozen for constructing the upwinding flux. This treatment only affects the numerical dissipation part, and the order of accuracy is maintained. With this technique, the freestream is perfectly preserved, and also the flow fields are better resolved on wavy and random grids.",

author = "Taku Nonomura and Daiki Terakado and Yoshiaki Abe and Kozo Fujii",

year = "2013",

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language = "English",

note = "21st AIAA Computational Fluid Dynamics Conference ; Conference date: 24-06-2013 Through 27-06-2013",

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T1 - A new technique for finite difference WENO with geometric conservation law

AU - Nonomura, Taku

AU - Terakado, Daiki

AU - Abe, Yoshiaki

AU - Fujii, Kozo

PY - 2013/9/13

Y1 - 2013/9/13

N2 - A new technique for a finite-difference weighted essentially nonoscillatory scheme (WENO) to satisfy the geometric conservation law on an arbitrary grid system is introduced. This new technique first divides the finite difference WENO into two parts: 1) a consistent central difference part and 2) a numerical dissipation part. For the consistent central difference part, the conservative metric technique is straightforwardly adapted. For the numerical dissipation part, it is proposed that the metric term is frozen for constructing the upwinding flux. This treatment only affects the numerical dissipation part, and the order of accuracy is maintained. With this technique, the freestream is perfectly preserved, and also the flow fields are better resolved on wavy and random grids.

AB - A new technique for a finite-difference weighted essentially nonoscillatory scheme (WENO) to satisfy the geometric conservation law on an arbitrary grid system is introduced. This new technique first divides the finite difference WENO into two parts: 1) a consistent central difference part and 2) a numerical dissipation part. For the consistent central difference part, the conservative metric technique is straightforwardly adapted. For the numerical dissipation part, it is proposed that the metric term is frozen for constructing the upwinding flux. This treatment only affects the numerical dissipation part, and the order of accuracy is maintained. With this technique, the freestream is perfectly preserved, and also the flow fields are better resolved on wavy and random grids.

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T2 - 21st AIAA Computational Fluid Dynamics Conference

Y2 - 24 June 2013 through 27 June 2013

ER -

A new technique for finite difference WENO with geometric conservation law

Abstract

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ASJC Scopus subject areas

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