グリッドレス法によるボルツマン方程式解法の信頼性検証

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  • Numerical Validation of Gridless Boltzmann Equation Solver

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This paper describes a numerical solver of the Boltzmann equation which is originally developed for micro scale flow simulations. The convection terms are evaluated with an upwind gridless method, while the collision term is evaluated using a kinetic model collision term which correctly resembles the lower 13 moments of the Boltzmann equation. Validation of the solveris carried out for a supersonic flow over a circular cylinder at a free stream Mach number of 2.0 and several Knudsen numbers from 0.01 to 1.0. The numerical results are compared with those of the direct simulation Monte Carlo (DSMC) method and those of the compressible Navier-Stokes equations with slip boundary conditions. The comparison indicates that the results of the present Boltzmann equation solver are in good agreement with those of the DSMC method for the whole range of Knudsen number considered and the predictions of the slip Navier-Stokes equations are adequate if the Knudsen number is less than 0.1.

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