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DISCRETE VELOCITY MODEL AND IMPLICIT SCHEME FOR THE BGK EQUATION OF RAREFIED GAS DYNAMICS
Abstract
We present a numerical method for computing transitional flows as described by the BGK equation of gas kinetic theory. Using the minimum entropy principle to define a discrete equilibrium function, a discrete velocity model of this equation is proposed. This model, like the continuous one, ensures positivity of solutions, conservation of moments, and dissipation of entropy. The discrete velocity model is then discretized in space and time by an explicit finite volume scheme which is proved to satisfy the previous properties. A linearized implicit scheme is then derived to efficiently compute steady-states; this method is then verified with several test cases.
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Citations
Cites
Molecular Gas Dynamics And The Direct Simulation Of Gas Flows
Bird, G. A. (1994) · doi:10.1093/oso/9780198561958.001.0001 · Cited by 7,269
Cited by
Mieussens, L. (2000) · Journal of Computational Physics · doi:10.1006/jcph.2000.6548 · Cited by 353
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Metadata
- Authors
- MIEUSSENS, L.
- Venue
- Mathematical Models and Methods in Applied Sciences
- Publisher
- World Scientific Pub Co Pte Ltd
- Published
- 2000-11
- Volume
- 10
- Issue
- 08
- Pages
- 1121-1149
- ISSN
- 0218-2025 (ISSN-L)
- 1793-6314
- OpenAlex
- W2086026333
- Cited by
- 246
- References
- 1
- FWCI
- 5.03
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: DISCRETE VELOCITY MODEL AND IMPLICIT SCHEME FOR THE BGK EQUATION OF RAREFIED GAS DYNAMICS. https://app.cochat.ai/papers/10.1142/s0218202500000562
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- MIEUSSENS, L. (2000). DISCRETE VELOCITY MODEL AND IMPLICIT SCHEME FOR THE BGK EQUATION OF RAREFIED GAS DYNAMICS. Mathematical Models and Methods in Applied Sciences. https://doi.org/10.1142/s0218202500000562
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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