Numerical simulation of hypersonic transitional flows by means of a kinetic node-pair approach

M. Fossati, L. Vigevano, K. Xu

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Abstract

A low-diffusive node-pair formulation of conservation laws is here reformulated in terms of a Boltzmann based kinetic scheme to address nonequilibrium flows up to the continuum-transitional regime. The ability to address flows for which the continuumlimit is no longer valid comes from the adoption of an improved formula for themean collision time of themolecules of the gas. From a numerical point of view, differently from particle based methods like DSMC, a macroscopic set of equations is solved for the conserved variables, and the kinetic theory of gases is used to compute the numerical flux along the boundary of each control volume for the flow conditions under investigation. As a result, a unified formula for any flow conditions from continuum up to the transitional regime, in the context of an edge-based scheme for hybrid grids is here presented. Exemplary shock structure computations and different transitional flows around a cylinder are considered here to evaluate the performance of the present scheme.

LanguageEnglish
Title of host publication17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference 2011
DOIs
Publication statusPublished - 1 Dec 2011
Event17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference 2011 - San Francisco, CA, United States
Duration: 11 Apr 201114 Apr 2011

Conference

Conference17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference 2011
CountryUnited States
CitySan Francisco, CA
Period11/04/1114/04/11

Fingerprint

Kinetic theory of gases
hypersonic flow
Hypersonic aerodynamics
Conservation
Fluxes
kinetics
Kinetics
Computer simulation
Gases
simulation
nonequilibrium flow
continuums
conservation laws
kinetic theory
gases
gas
shock
grids
formulations
collision

Keywords

  • numerical simulation
  • hypersonic transitional flows
  • kinetic node-pair approach
  • kinetic theory of gases
  • computational fluid dynamics
  • numerical methods
  • transition flow
  • non-equilibrium flows
  • shock structures

Cite this

Fossati, M., Vigevano, L., & Xu, K. (2011). Numerical simulation of hypersonic transitional flows by means of a kinetic node-pair approach. In 17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference 2011 https://doi.org/10.2514/6.2011-2219
Fossati, M. ; Vigevano, L. ; Xu, K. / Numerical simulation of hypersonic transitional flows by means of a kinetic node-pair approach. 17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference 2011. 2011.
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Fossati, M, Vigevano, L & Xu, K 2011, Numerical simulation of hypersonic transitional flows by means of a kinetic node-pair approach. in 17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference 2011. 17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference 2011, San Francisco, CA, United States, 11/04/11. https://doi.org/10.2514/6.2011-2219

Numerical simulation of hypersonic transitional flows by means of a kinetic node-pair approach. / Fossati, M.; Vigevano, L.; Xu, K.

17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference 2011. 2011.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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Fossati M, Vigevano L, Xu K. Numerical simulation of hypersonic transitional flows by means of a kinetic node-pair approach. In 17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference 2011. 2011 https://doi.org/10.2514/6.2011-2219