WU Jun-lin, LI Zhi-hui, PENG Ao-ping, JIANG Xin-yu. Calculation of Boltzmann-Rykov Model Equation by Finite Volume Method[J]. Applied Mathematics and Mechanics, 2014, 35(2): 121-129. doi: 10.3879/j.issn.1000-0887.2014.02.002
Citation: WU Jun-lin, LI Zhi-hui, PENG Ao-ping, JIANG Xin-yu. Calculation of Boltzmann-Rykov Model Equation by Finite Volume Method[J]. Applied Mathematics and Mechanics, 2014, 35(2): 121-129. doi: 10.3879/j.issn.1000-0887.2014.02.002

Calculation of Boltzmann-Rykov Model Equation by Finite Volume Method

doi: 10.3879/j.issn.1000-0887.2014.02.002
Funds:  The National Natural Science Foundation of China(91016027); The National Basic Research Program of China (973 Program)(2014CB744100)
  • Received Date: 2013-07-01
  • Rev Recd Date: 2013-12-09
  • Publish Date: 2014-02-15
  • A three order precision finite volume scheme was formulated to numerically solve the Boltzmann-Rykov model equation in which rotational energy was considered. This model equation was discretized into a series of equations at each discrete velocity point, and then a high order half-discretization finite volume scheme was used to compute these equations. Three order Runge-Kutta method was introduced for time marching, and central value in each cell was taken to approximate the average collision term. This finite volume scheme was of three order precision in convection term, while positive definiteness of the distribution functions and flux conservation were ensured. Results were compared with those of finite difference method and Riemann exact solution in continuum regime. The good coincidence shows validity of the solving process for the model equation by finite volume method.
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