Numerical simulation of the BGK-Burnett equations for hypersonic blunt body flows using the kinetic wave-particle flux splitting algorithm

Ramesh Balakrishnan; Ramesh K. Agarwal

doi:10.2514/6.1998-848

Numerical simulation of the BGK-Burnett equations for hypersonic blunt body flows using the kinetic wave-particle flux splitting algorithm

Ramesh Balakrishnan
, Ramesh K. Agarwal

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

3 Scopus citations

Abstract

In this paper¹, numerical solutions of the 2-D BGKBurnett equations, using the Kinetic Wave-Particle Flux Splitting (KWPS) algorithm are presented. These equations are solved for hypersonic flows about blunt bodies in the continuum-transition regime. It has been demonstrated that the 1-D BGK-Burnett equations [1, 2] do not violate Boltzmann's H-theoremfor the hypersonic shock structure problem. It has also been shown that the KWPS algorithm when applied to the 1-D BGK-Burnett equations is entropy preserving. This providedthe motivation to extend this algorithm to 2-D and examine the entropy preserving property for more practical applications. The 2-D BGK-Burnett equations are solved for the specific case of hypersonic flow about a circular cylinder. Results are presented for a free stream Knudsen number of 0.001.

Original language	English
DOIs	https://doi.org/10.2514/6.1998-848
State	Published - 1998
Event	36th AIAA Aerospace Sciences Meeting and Exhibit, 1998 - Reno, United States Duration: Jan 12 1998 → Jan 15 1998

Conference

Conference	36th AIAA Aerospace Sciences Meeting and Exhibit, 1998
Country/Territory	United States
City	Reno
Period	01/12/98 → 01/15/98

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10.2514/6.1998-848

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@conference{aa676868b10143caa9bae8ed2c7622c0,

title = "Numerical simulation of the BGK-Burnett equations for hypersonic blunt body flows using the kinetic wave-particle flux splitting algorithm",

abstract = "In this paper1, numerical solutions of the 2-D BGKBurnett equations, using the Kinetic Wave-Particle Flux Splitting (KWPS) algorithm are presented. These equations are solved for hypersonic flows about blunt bodies in the continuum-transition regime. It has been demonstrated that the 1-D BGK-Burnett equations [1, 2] do not violate Boltzmann's H-theoremfor the hypersonic shock structure problem. It has also been shown that the KWPS algorithm when applied to the 1-D BGK-Burnett equations is entropy preserving. This providedthe motivation to extend this algorithm to 2-D and examine the entropy preserving property for more practical applications. The 2-D BGK-Burnett equations are solved for the specific case of hypersonic flow about a circular cylinder. Results are presented for a free stream Knudsen number of 0.001.",

author = "Ramesh Balakrishnan and Agarwal, \{Ramesh K.\}",

note = "Publisher Copyright: {\textcopyright} 1998 by the authors. Published by the American Institute of Aeronautics and Astronautics, Inc.; 36th AIAA Aerospace Sciences Meeting and Exhibit, 1998 ; Conference date: 12-01-1998 Through 15-01-1998",

year = "1998",

doi = "10.2514/6.1998-848",

language = "English",

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TY - CONF

T1 - Numerical simulation of the BGK-Burnett equations for hypersonic blunt body flows using the kinetic wave-particle flux splitting algorithm

AU - Balakrishnan, Ramesh

AU - Agarwal, Ramesh K.

PY - 1998

Y1 - 1998

N2 - In this paper1, numerical solutions of the 2-D BGKBurnett equations, using the Kinetic Wave-Particle Flux Splitting (KWPS) algorithm are presented. These equations are solved for hypersonic flows about blunt bodies in the continuum-transition regime. It has been demonstrated that the 1-D BGK-Burnett equations [1, 2] do not violate Boltzmann's H-theoremfor the hypersonic shock structure problem. It has also been shown that the KWPS algorithm when applied to the 1-D BGK-Burnett equations is entropy preserving. This providedthe motivation to extend this algorithm to 2-D and examine the entropy preserving property for more practical applications. The 2-D BGK-Burnett equations are solved for the specific case of hypersonic flow about a circular cylinder. Results are presented for a free stream Knudsen number of 0.001.

AB - In this paper1, numerical solutions of the 2-D BGKBurnett equations, using the Kinetic Wave-Particle Flux Splitting (KWPS) algorithm are presented. These equations are solved for hypersonic flows about blunt bodies in the continuum-transition regime. It has been demonstrated that the 1-D BGK-Burnett equations [1, 2] do not violate Boltzmann's H-theoremfor the hypersonic shock structure problem. It has also been shown that the KWPS algorithm when applied to the 1-D BGK-Burnett equations is entropy preserving. This providedthe motivation to extend this algorithm to 2-D and examine the entropy preserving property for more practical applications. The 2-D BGK-Burnett equations are solved for the specific case of hypersonic flow about a circular cylinder. Results are presented for a free stream Knudsen number of 0.001.

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U2 - 10.2514/6.1998-848

DO - 10.2514/6.1998-848

M3 - Paper

AN - SCOPUS:84983189826

T2 - 36th AIAA Aerospace Sciences Meeting and Exhibit, 1998

Y2 - 12 January 1998 through 15 January 1998

ER -

Numerical simulation of the BGK-Burnett equations for hypersonic blunt body flows using the kinetic wave-particle flux splitting algorithm

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