用高阶高精度 WENO 格式求解二维激波附面层干扰流场

采用时间相关法求解二维 Navier-Stokes方程 ,数值模拟二维平板层流附面层与激波干扰流场 ,给出了物面压力分布和应力分布。计算中 ,对流项空间导数的差分离散采用高阶高精度 WENO格式 ,时间方向采用具有 TVD性质的 Runge-Kutta方法 ,粘性项采用二阶中心差分。所得压力分布和应力分布与国外实验结果吻合较好 ,计算实践表明高阶 WENO格式具有优异的性能 ,应用前景广阔

High Order Accurate WENO Schemes for the 2D Flowfield of Shock-Boundary Layer Interaction

The time dependent numerical method is used to solve Navier Stokes equations and simulate the 2D shockwave planar boundary layer interaction. In our computation ,the high order accuracy WENO schemes are applied to pursuing numerical approximation of the inviscid spatial derivative. To step on time, we make use of the Runge Kutta methods with property of TVD.The viscous term is discremeted by two order central difference scheme. The resultant pressure and shear distribution agree with those of the experiments.The numerical practice shows the WENO schemes are robust and strong indeed, and have a vast range of prospects for application.