A kinetic node-pair formulation for two-dimensional flows from continuum to transitional regime

M. Fossati, A. Guardone, L. Vigevano, K. Xu

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

A hybrid finite-element/finite-volume node-pair discretization of conservation laws is reformulated in terms of a Bhatnagar–Gross–Krook kinetic scheme to address flows from the continuum up to the transitional regime in a seamless fashion. Integrals of the particle distribution function from the kinetic theory of gases are adopted to compute the numerical fluxes along the boundary of each control volume. Flow features typical of the transitional regime like velocity and temperature slip condition at solid walls are automatically assured by the kinetic formulation of the node-pair boundary conditions. Exemplary two-dimensional numerical experiments ranging from continuum flows up to the transitional regime are presented.


LanguageEnglish
Pages784-796
Number of pages13
JournalAIAA Journal
Volume51
Issue number4
DOIs
Publication statusPublished - 2013

Fingerprint

Kinetic theory of gases
Kinetics
Distribution functions
Conservation
Boundary conditions
Fluxes
Experiments
Temperature

Cite this

Fossati, M. ; Guardone, A. ; Vigevano, L. ; Xu, K. / A kinetic node-pair formulation for two-dimensional flows from continuum to transitional regime. In: AIAA Journal. 2013 ; Vol. 51, No. 4. pp. 784-796.
@article{554faee11ba84ee6b0ec46f8cd7476b6,
title = "A kinetic node-pair formulation for two-dimensional flows from continuum to transitional regime",
abstract = "A hybrid finite-element/finite-volume node-pair discretization of conservation laws is reformulated in terms of a Bhatnagar–Gross–Krook kinetic scheme to address flows from the continuum up to the transitional regime in a seamless fashion. Integrals of the particle distribution function from the kinetic theory of gases are adopted to compute the numerical fluxes along the boundary of each control volume. Flow features typical of the transitional regime like velocity and temperature slip condition at solid walls are automatically assured by the kinetic formulation of the node-pair boundary conditions. Exemplary two-dimensional numerical experiments ranging from continuum flows up to the transitional regime are presented.",
author = "M. Fossati and A. Guardone and L. Vigevano and K. Xu",
year = "2013",
doi = "10.2514/1.J051545",
language = "English",
volume = "51",
pages = "784--796",
journal = "AIAA Journal",
issn = "0001-1452",
number = "4",

}

A kinetic node-pair formulation for two-dimensional flows from continuum to transitional regime. / Fossati, M.; Guardone, A.; Vigevano, L.; Xu, K.

In: AIAA Journal, Vol. 51, No. 4, 2013, p. 784-796.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A kinetic node-pair formulation for two-dimensional flows from continuum to transitional regime

AU - Fossati, M.

AU - Guardone, A.

AU - Vigevano, L.

AU - Xu, K.

PY - 2013

Y1 - 2013

N2 - A hybrid finite-element/finite-volume node-pair discretization of conservation laws is reformulated in terms of a Bhatnagar–Gross–Krook kinetic scheme to address flows from the continuum up to the transitional regime in a seamless fashion. Integrals of the particle distribution function from the kinetic theory of gases are adopted to compute the numerical fluxes along the boundary of each control volume. Flow features typical of the transitional regime like velocity and temperature slip condition at solid walls are automatically assured by the kinetic formulation of the node-pair boundary conditions. Exemplary two-dimensional numerical experiments ranging from continuum flows up to the transitional regime are presented.

AB - A hybrid finite-element/finite-volume node-pair discretization of conservation laws is reformulated in terms of a Bhatnagar–Gross–Krook kinetic scheme to address flows from the continuum up to the transitional regime in a seamless fashion. Integrals of the particle distribution function from the kinetic theory of gases are adopted to compute the numerical fluxes along the boundary of each control volume. Flow features typical of the transitional regime like velocity and temperature slip condition at solid walls are automatically assured by the kinetic formulation of the node-pair boundary conditions. Exemplary two-dimensional numerical experiments ranging from continuum flows up to the transitional regime are presented.

U2 - 10.2514/1.J051545

DO - 10.2514/1.J051545

M3 - Article

VL - 51

SP - 784

EP - 796

JO - AIAA Journal

T2 - AIAA Journal

JF - AIAA Journal

SN - 0001-1452

IS - 4

ER -