差分格式及限制器对双椭球数值模拟的影响

Influence of Difference Schemes and Limiters on Numerical Simulation of Double-Ellipsoid

  • 摘要: 为探究差分格式和限制器对高超声速热流密度计算结果的影响,以N-S方程为基本控制方程,采用FDS的Roe格式、FVS的van Leer格式对双椭球模型进行了数值模拟,并采用Roe格式选取min mod、van Leer、Osher_C三种限制器对双椭球进行了进一步数值模拟. 研究了不同空间差分格式、不同限制器对双椭球压力、气动热数值模拟结果的影响,并对双椭球模型的流场进行了相关分析. 研究结果表明:差分格式和限制器对压力系数影响不大,而对热流密度影响较大,采用minmod限制器的Roe格式计算精度最高.

     

    Abstract: In order to study the effect of difference schemes and limiters, on the basis of Navier-Stokes equation, the flow fields around double-ellipsoid were simulated numerically using Roe scheme of FDS and van Leer scheme of FVS. The limiters of min mod, van Leer, Osher_C under Roe difference scheme were also simulated. The effects of different difference schemes and limiters on the simulation results of double-ellipsoid's aerodynamics and aerothermodynamics were researched and the flow fields of double-ellipsoid were analyzed. The results indicate that the effect of difference schemes and limiters on pressure is less than heat flux and Ree scheme with minmod limitors can obtain high accuracy results.

     

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