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- W2374038666 abstract "Based on the kinetic Shakhov model equation, a unified simplified velocity distribution function equation describing gas transport phenomena for various flow regimes is proposed. The discrete velocity ordinate technique is studied and applied to the velocity distribution function equation. With the decoupling technique of the DSMC method and the unsteady time-splitting method, the gas-kinetic finite difference method for directly solving the velocity distribution functions is established by coupling and iteration. The discrete velocity numerical integration methods are developed and applied to evaluate the macroscopic flow parameters at each point in the physical space. As a result, a unified simplified gas-kinetic numerical algorithm is obtained for flows from rarefied transition to continuum. To test the present method, one-dimensional shock structure problems, two-dimensional flows past cylinder, and three-dimensional flows around sphere with various Knudsen numbers are simulated. The computational results with high resolution of the flow fields are found in good agreement with the theoretical, DSMC, N-S and experimental data. The computing results confirm a good precision and reliability of the algorithm in solving the gas dynamical problems from rarefied flow to continuum. The HPF parallel strategy is studied for the gas-kinetic numerical method. The gas flows around three-dimensional sphere and spacecraft-like shape with various Knudsen numbers are computed with massive scale parallel schemes. A good parallel efficiency and speed-up ratio have been found so that it is practical and possible that an HPF parallel algorithm can be developed for solving three-dimensional complex problems in various flow regimes. The gas kinetic algorithm is extended and applied to study the micro-channel gas flows. The numerical algorithm is developed for the gas flows in two-dimensional short micro-channels with various Knudsen numbers. The classical Couette flows, the pressure-driven plane Poiseuille flow, and the pressure-driven gas flows in twodimensional short micro-channels are simulated and compared with the approximate solutions of the linear Boltzmann equation, the related DSMC results, the modified N-S solutions with slip-flow boundary, and the experimental data. The numerical experience shows that the gas kinetic algorithm may be a powerful tool in the numerical simulation of micro-scale gas flows in the Micro-Electro-Mechanical System (MEMS)." @default.
- W2374038666 created "2016-06-24" @default.
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- W2374038666 date "2005-01-01" @default.
- W2374038666 modified "2023-09-25" @default.
- W2374038666 title "STUDY ON GAS KINETIC NUMERICAL ALGORITHM USING BOLTZMANN MODEL EQUATION" @default.
- W2374038666 hasPublicationYear "2005" @default.
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