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 The ability to address flows for which the continuumlimit is no longer valid comes from the adoption of an improved formula for themean collision time of themolecules of the gas.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.
| Language | English |
|---|---|
| Title of host publication | 17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference 2011 |
| DOIs | |
| Publication status | Published - 1 Dec 2011 |
| Event | 17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference 2011 - San Francisco, CA, United States Duration: 11 Apr 2011 → 14 Apr 2011 |
Conference
| Conference | 17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference 2011 |
|---|---|
| Country | United States |
| City | San Francisco, CA |
| Period | 11/04/11 → 14/04/11 |
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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
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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 proceeding › Conference contribution book
TY - GEN
T1 - Numerical simulation of hypersonic transitional flows by means of a kinetic node-pair approach
AU - Fossati, M.
AU - Vigevano, L.
AU - Xu, K.
PY - 2011/12/1
Y1 - 2011/12/1
N2 - 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.
AB - 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.
KW - numerical simulation
KW - hypersonic transitional flows
KW - kinetic node-pair approach
KW - kinetic theory of gases
KW - computational fluid dynamics
KW - numerical methods
KW - transition flow
KW - non-equilibrium flows
KW - shock structures
UR - http://www.scopus.com/inward/record.url?scp=84881284401&partnerID=8YFLogxK
U2 - 10.2514/6.2011-2219
DO - 10.2514/6.2011-2219
M3 - Conference contribution book
SN - 9781600869426
BT - 17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference 2011
ER -