限制器对高超声速体表面热流数值模拟的影响

采用Roe的FDS（Flux Difference Splitting）差分格式结合min mod，van Leer和Osher-C限制器，对高超声速体外部流场进行数值模拟.研究了限制器对高超声速体气动力/热数值模拟的区别，对比分析了3种限制器对三维模型表面热流数值模拟结果的影响.研究表明，限制器对数值模拟精度有重要影响，且对气动热数值模拟的影响大于对气动力的影响；对简单或较复杂的气动外形，采用Roe的FDS格式结合min mod限制器获得的表面热特性比它结合van Leer和Osher-C限制器时要好，可为热防护设计提供可靠结果.

Influence of limiters on numerical simulation of heating distributions for hypersonic bodies

The Roe's flux difference splitting (FDS) scheme was combined with min mod, van Leer and Osher-C limiters to simulate hypersonic flow fields around hypersonic bodies. The different effects of the three limiters on the simulation results of hypersonic bodies' aerodynamics and aerothermodynamics were researched, and their effects on the simulation of heating rates were compared and analyzed. From the results, it can draw the following conclusions: the choice of limiters has a very important effect on numerical simulation results, and it will influence the simulation results of aerothermodynamics more than the ones of aerodynamics. The min mod limiter, working together with Roe's FDS scheme can obtain better heating rates on hypersonic bodies than the other two limiters no matter for simple or complex aerodynamic shapes. Therefore, the min mod limiter can provide reliable results for the thermal protection designs.