Numerical study on the gas-kinetic high-order schemes for solving Boltzmann model equation |
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| Authors: | LI ZhiHui PENG AoPing ZHANG HanXin & DENG XiaoGang National Laboratory for Computational Fluid Dynamics Beijing China China Aerodynamics Research Development Center Mianyang |
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| Institution: | LI ZhiHui 1,2*,PENG AoPing 1,2,ZHANG HanXin 1,2 & DENG XiaoGang 2 1 National Laboratory for Computational Fluid Dynamics,Beijing 100191,China,2 China Aerodynamics Research and Development Center,Mianyang 621000 |
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| Abstract: | The high-order compact finite difference technique is introduced to solve the Boltzmann model equation, and the gas-kinetic high-order schemes are developed to simulate the different kinetic model equations such as the BGK model, the Shakhov model and the Ellipsoidal Statistical (ES) model in this paper. The methods are tested for the one-dimensional unsteady shock-tube problems with various Knudsen numbers, the inner flows of normal shock wave for different Mach numbers, and the two-dimensional flows past ... |
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| Keywords: | Boltzmann model equation velocity distribution function high-order compact scheme discrete velocity ordinate method gas-kinetic high order accurate algorithm |
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