改进的三阶WENO-Z+格式及其应用

为改善三阶WENO格式的耗散特性，提高其对流场结构的分辨率，在三阶WENO-Z+格式（WENO-Z+3）基础上，构造不同形式的全局光滑因子，提出一种改进的WENO-Z+3格式（NWENO-Z+3）.选取Sod激波管、双爆轰波碰撞、激波与熵波相互作用、双马赫反射等经典算例，考察该格式的计算性能，结果表明：NWENO-Z+3格式具有更低耗散性和更高的分辨率.数值研究柱形高压气体爆炸波在单舱室和连通舱室内部的传播过程及波系演化.结果表明：改进格式NWENO-Z+3能够较好地模拟包含高压比、高密度比的爆炸波系结构.

An Improved Third-order WENO-Z+3 Scheme and Its Application

To improve dissipation characteristic and resolution for flow features of classical third-order WENO scheme (WENO-JS3). An improved third-order WENO-Z+ scheme (NWENO-Z+3) was constructed with a different global smoothness indicator. Several classical one-dimensional Riemann problems and double Mach reflection case were simulated to investigate computing performance of NWENO-Z+3 scheme. It indicated that NWENO-Z+3 scheme have better characteristics than schemes such as WENO-JS3, WENO-Z and WENO-Z+3 scheme with low numerical dissipation and high resolution to flow features. NWENO-Z+3 scheme was also used to investigate propagation and wave evolution of blast waves generated by cylindrical high pressure gas in single cabin and connected cabins. It indicated that NWENO-Z+3 scheme was suitable for simulating evolution of blast waves, which contains high pressure ratio and high density ratio.