High-Order Conservative Asymptotic-Preserving Schemes for Modeling Rarefied Gas Dynamical Flows with Boltzmann-BGK Equation
| العنوان: | High-Order Conservative Asymptotic-Preserving Schemes for Modeling Rarefied Gas Dynamical Flows with Boltzmann-BGK Equation |
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| المؤلفون: | Jaw Yen Yang, Min Hung Chen, Manuel A. Diaz |
| المصدر: | Communications in Computational Physics. 18:1012-1049 |
| بيانات النشر: | Global Science Press, 2015. |
| سنة النشر: | 2015 |
| مصطلحات موضوعية: | Physics, Hermite polynomials, Physics and Astronomy (miscellaneous), Finite difference, 010103 numerical & computational mathematics, 01 natural sciences, 010101 applied mathematics, symbols.namesake, Classical mechanics, Phase space, Boltzmann constant, Dissipative system, symbols, Euler's formula, Gaussian quadrature, Applied mathematics, Limit (mathematics), 0101 mathematics |
| الوصف: | High-order and conservative phase space direct solvers that preserve the Euler asymptotic limit of the Boltzmann-BGK equation for modelling rarefied gas flows are explored and studied. The approach is based on the conservative discrete ordinate method for velocity space by using Gauss Hermite or Simpsons quadrature rule and conservation of macroscopic properties are enforced on the BGK collision operator. High-order asymptotic-preserving time integration is adopted and the spatial evolution is performed by high-order schemes including a finite difference weighted essentially non-oscillatory method and correction procedure via reconstruction schemes. An artificial viscosity dissipative model is introduced into the Boltzmann-BGK equation when the correction procedure via reconstruction scheme is used. The effects of the discrete velocity conservative property and accuracy of high-order formulations of kinetic schemes based on BGK model methods are provided. Extensive comparative tests with one-dimensional and two-dimensional problems in rarefied gas flows have been carried out to validate and illustrate the schemes presented. Potentially advantageous schemes in terms of stable large time step allowed and higher-order of accuracy are suggested. |
| تدمد: | 1991-7120 1815-2406 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::bd96680937d22f660c7f8c6c3a0f3203 https://doi.org/10.4208/cicp.171214.210715s |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........bd96680937d22f660c7f8c6c3a0f3203 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 19917120 18152406 |
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