基于高阶气体动理学格式的高速流动数值模拟

Numerical simulation of high speed flow based on high-order gas-kinetic scheme

针对新型高速飞行器的设计在预示气动力以及气动热上的高分辨率需求,相比于耗散较大的传统二阶有限体积方法,高精度方法具有满足这种需求的潜力。基于气体动理学分布函数,结合自适应流动的高精度重构技术、斜率压缩因子技术和p-multigrid技术,发展了面向高速流动的高精度气体动理学格式,经过精度测试,可以达到预期精度。通过一维和三维典型高速流动算例验证了该方法在高速流动中的鲁棒性和高分辨率特性,展现了该方法在高速复杂几何构型的精确气动力热预示中的潜力。

High-resolution methods have the potential to meet the high-resolution requirements of new high-speed vehicle designs in terms of predicted aerodynamic as well as aerodynamic-thermal forces,as compared to the more dissipative traditional second-order finite-volume methods.This pa-per develops a high-order gas-kinetic scheme for high speed flow based on gas kinetic distribution functions,combined with adaptive high-order reconstruction,slope compression factor,and p-multi-grid techniques.The expected accuracy can be achieved through the accuracy test.Through the as-sessment of typical one-dimensional and three-dimensional high speed flow cases,the robustness and high-resolution characteristics of the method in high speed flow are verified,demonstrating the po-tential of this method for accuracy prediction of aerodynamic and thermal effects in complex high speed geometries.