高精度HWENO格式与浸入边界法求解可压缩流问题

High Order HWENO Scheme with Immersed Boundary Method for Compressible Flow Problems

在物面边界处采用浸入边界法并构造三阶有限体积HWENO(Hermite Weighted Essentially Non-oscillatory)格式,可在较简单的笛卡尔网格上有效处理上述带复杂物面边界的可压缩流动问题。经典的定常和非定常数值算例验证了该方法的有效性。

The immersed boundary method is employed at the body surface and a third order finite volume HWENO （Hermite weighted essentially non-oscillatory） scheme is constructed in this paper,and the above mentioned problems containing complex body surface could be effectively solved on Cartesian meshes.Some benchmark steady/unsteady examples are represented to illustrate the good performance of such methods.