A unified gas-kinetic scheme for continuum and rarefied flows

K. Xu; J. C. Huang

doi:10.1063/1.3562701

A unified gas-kinetic scheme for continuum and rarefied flows

K. Xu^*, J. C. Huang

^*Corresponding author for this work

Department of Mathematics

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

4 Citations (Scopus)

Abstract

With discretized particle velocity space, a multi-scale unified gas-kinetic scheme for entire Knudsen number flows is constructed based on the BGK model. The current scheme couples closely the update of macroscopic conservative variables with the update of microscopic gas distribution function within a time step. In comparison with many existing kinetic schemes for the Boltzmann equation, the current method has no difficulty to get accurate Navier-Stokes (NS) solutions in the continuum flow regime with a time step being much larger than the particle collision time. At the same time, the rarefied flow solution, even in the free molecule limit, can be captured accurately.

Original language	English
Title of host publication	27th International Symposium on Rarefied Gas Dynamics - 2010, RGD27
Pages	525-530
Number of pages	6
Edition	PART 1
DOIs	https://doi.org/10.1063/1.3562701
Publication status	Published - 2011
Event	27th International Symposium on Rarefied Gas Dynamics, RGD27 - Pacific Grove, CA, United States Duration: 10 Jul 2011 → 15 Jul 2011

Publication series

Name	AIP Conference Proceedings
Number	PART 1
Volume	1333
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	27th International Symposium on Rarefied Gas Dynamics, RGD27
Country/Territory	United States
City	Pacific Grove, CA
Period	10/07/11 → 15/07/11

Keywords

Free molecule flow
Gas-kinetic scheme
Navier-Stokes equations
Unified scheme

Access to Document

10.1063/1.3562701

Cite this

@inproceedings{3a92a972be3a41b6860a69b5a2a54837,

title = "A unified gas-kinetic scheme for continuum and rarefied flows",

abstract = "With discretized particle velocity space, a multi-scale unified gas-kinetic scheme for entire Knudsen number flows is constructed based on the BGK model. The current scheme couples closely the update of macroscopic conservative variables with the update of microscopic gas distribution function within a time step. In comparison with many existing kinetic schemes for the Boltzmann equation, the current method has no difficulty to get accurate Navier-Stokes (NS) solutions in the continuum flow regime with a time step being much larger than the particle collision time. At the same time, the rarefied flow solution, even in the free molecule limit, can be captured accurately.",

keywords = "Free molecule flow, Gas-kinetic scheme, Navier-Stokes equations, Unified scheme",

author = "K. Xu and Huang, \{J. C.\}",

year = "2011",

doi = "10.1063/1.3562701",

language = "English",

isbn = "9780735408890",

series = "AIP Conference Proceedings",

number = "PART 1",

pages = "525--530",

booktitle = "27th International Symposium on Rarefied Gas Dynamics - 2010, RGD27",

edition = "PART 1",

note = "27th International Symposium on Rarefied Gas Dynamics, RGD27 ; Conference date: 10-07-2011 Through 15-07-2011",

}

Xu, K & Huang, JC 2011, A unified gas-kinetic scheme for continuum and rarefied flows. in 27th International Symposium on Rarefied Gas Dynamics - 2010, RGD27. PART 1 edn, AIP Conference Proceedings, no. PART 1, vol. 1333, pp. 525-530, 27th International Symposium on Rarefied Gas Dynamics, RGD27, Pacific Grove, CA, United States, 10/07/11. https://doi.org/10.1063/1.3562701

TY - GEN

T1 - A unified gas-kinetic scheme for continuum and rarefied flows

AU - Xu, K.

AU - Huang, J. C.

PY - 2011

Y1 - 2011

N2 - With discretized particle velocity space, a multi-scale unified gas-kinetic scheme for entire Knudsen number flows is constructed based on the BGK model. The current scheme couples closely the update of macroscopic conservative variables with the update of microscopic gas distribution function within a time step. In comparison with many existing kinetic schemes for the Boltzmann equation, the current method has no difficulty to get accurate Navier-Stokes (NS) solutions in the continuum flow regime with a time step being much larger than the particle collision time. At the same time, the rarefied flow solution, even in the free molecule limit, can be captured accurately.

AB - With discretized particle velocity space, a multi-scale unified gas-kinetic scheme for entire Knudsen number flows is constructed based on the BGK model. The current scheme couples closely the update of macroscopic conservative variables with the update of microscopic gas distribution function within a time step. In comparison with many existing kinetic schemes for the Boltzmann equation, the current method has no difficulty to get accurate Navier-Stokes (NS) solutions in the continuum flow regime with a time step being much larger than the particle collision time. At the same time, the rarefied flow solution, even in the free molecule limit, can be captured accurately.

KW - Free molecule flow

KW - Gas-kinetic scheme

KW - Navier-Stokes equations

KW - Unified scheme

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000295855300081

UR - https://openalex.org/W2060799632

UR - https://www.scopus.com/pages/publications/80054011927

U2 - 10.1063/1.3562701

DO - 10.1063/1.3562701

M3 - Conference Paper published in a book

SN - 9780735408890

T3 - AIP Conference Proceedings

SP - 525

EP - 530

BT - 27th International Symposium on Rarefied Gas Dynamics - 2010, RGD27

T2 - 27th International Symposium on Rarefied Gas Dynamics, RGD27

Y2 - 10 July 2011 through 15 July 2011

ER -

A unified gas-kinetic scheme for continuum and rarefied flows

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this