Implicit kinetic schemes for euler equations

H. S. Raharjaya Reksoprodjo; Ramesh K. Agarwal

Implicit kinetic schemes for euler equations

H. S. Raharjaya Reksoprodjo, Ramesh K. Agarwal

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

Abstract

Recently, the kinetic schemes, namely the Kinetic Flux-Vector Split (KFVS) scheme and Kinetic Wave/Particle Split (KWPS) scheme, for Euler flows have gained wide recognition for their efficiency and robustness. However, to date, all computations performed with these schemes have employed a time-explicit formulation. The explicit kinetic schemes severely restrict the time-step allowed for stability. In this paper, an implicit formulation is derived for both the KFVS and KWPS schemes, and is applied to compute the shock tube problem. To the authors' knowledge, this is the first time that the implicit kinetic schemes have been formulated.

Original language	English
State	Published - 2001
Event	15th AIAA Computational Fluid Dynamics Conference 2001 - Anaheim, CA, United States Duration: Jun 11 2001 → Jun 14 2001

Conference

Conference	15th AIAA Computational Fluid Dynamics Conference 2001
Country/Territory	United States
City	Anaheim, CA
Period	06/11/01 → 06/14/01

Cite this

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title = "Implicit kinetic schemes for euler equations",

abstract = "Recently, the kinetic schemes, namely the Kinetic Flux-Vector Split (KFVS) scheme and Kinetic Wave/Particle Split (KWPS) scheme, for Euler flows have gained wide recognition for their efficiency and robustness. However, to date, all computations performed with these schemes have employed a time-explicit formulation. The explicit kinetic schemes severely restrict the time-step allowed for stability. In this paper, an implicit formulation is derived for both the KFVS and KWPS schemes, and is applied to compute the shock tube problem. To the authors' knowledge, this is the first time that the implicit kinetic schemes have been formulated.",

author = "{Raharjaya Reksoprodjo}, {H. S.} and Agarwal, {Ramesh K.}",

year = "2001",

language = "English",

note = "15th AIAA Computational Fluid Dynamics Conference 2001 ; Conference date: 11-06-2001 Through 14-06-2001",

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TY - CONF

T1 - Implicit kinetic schemes for euler equations

AU - Raharjaya Reksoprodjo, H. S.

AU - Agarwal, Ramesh K.

PY - 2001

Y1 - 2001

N2 - Recently, the kinetic schemes, namely the Kinetic Flux-Vector Split (KFVS) scheme and Kinetic Wave/Particle Split (KWPS) scheme, for Euler flows have gained wide recognition for their efficiency and robustness. However, to date, all computations performed with these schemes have employed a time-explicit formulation. The explicit kinetic schemes severely restrict the time-step allowed for stability. In this paper, an implicit formulation is derived for both the KFVS and KWPS schemes, and is applied to compute the shock tube problem. To the authors' knowledge, this is the first time that the implicit kinetic schemes have been formulated.

AB - Recently, the kinetic schemes, namely the Kinetic Flux-Vector Split (KFVS) scheme and Kinetic Wave/Particle Split (KWPS) scheme, for Euler flows have gained wide recognition for their efficiency and robustness. However, to date, all computations performed with these schemes have employed a time-explicit formulation. The explicit kinetic schemes severely restrict the time-step allowed for stability. In this paper, an implicit formulation is derived for both the KFVS and KWPS schemes, and is applied to compute the shock tube problem. To the authors' knowledge, this is the first time that the implicit kinetic schemes have been formulated.

UR - http://www.scopus.com/inward/record.url?scp=84894431861&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84894431861

T2 - 15th AIAA Computational Fluid Dynamics Conference 2001

Y2 - 11 June 2001 through 14 June 2001

ER -

Implicit kinetic schemes for euler equations

Abstract

Conference

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