基于映射函数的三阶WENO改进格式及其应用

发布时间：2019-05-16 19:04

【摘要】：低耗散、高分辨率激波捕捉格式对含激波流场的数值模拟具有重要意义.在传统三阶WENO格式(WENO-JS3)和三阶WENO-Z格式(WENO-Z3)基础上,基于映射函数,给出WENO-M3、WENO-MZ3格式.选用Sod激波管、激波与熵波相互作用、双爆轰波碰撞及双Mach(马赫)反射等经典算例,考察上述格式的计算性能.数值结果表明,WENO-MZ3格式相较其他格式具有耗散低、对流场结构分辨率高的特性.为了进一步扩展WENO-MZ3格式的应用范围,采用该格式数值研究封闭方形舱室内柱形高压、高密度气体爆炸波传播过程,波系演化规律以及壁面典型测点压力载荷.数值计算结果表明WENO-MZ3格式能够较好地模拟包含高压比、高密度比的爆炸波且给出数值耗散较小的壁面压力载荷.
[Abstract]:The low dissipation and high resolution shock capture scheme is of great significance to the numerical simulation of the flow field with shock waves. On the basis of traditional third-order WENO scheme (WENO-JS3) and third-order WENO-Z scheme (WENO-Z3), WENO-M3,WENO-MZ3 scheme is given based on mapping function. Some classical examples, such as Sod shock tube, interaction between shock wave and entropy wave, double detonation wave collision and double Mach (Mach) reflection, are used to investigate the computational performance of the above scheme. The numerical results show that the WENO-MZ3 scheme has the characteristics of low dissipation and high resolution to the flow field structure compared with other schemes. In order to further expand the application range of WENO-MZ3 scheme, the cylindrical high pressure in closed square cabin, the propagation process of high density gas explosion wave, the evolution of wave system and the pressure load of typical measuring points on the wall are studied by using the scheme. The numerical results show that the WENO-MZ3 scheme can simulate the explosion wave with high pressure ratio and high density ratio and give the wall pressure load with small numerical dissipation.
【作者单位】：武汉理工大学高性能舰船技术教育部重点实验室;武汉理工大学交通学院船舶海洋与结构工程系;
【基金】：国防基础研究项目(B1420133057) 国家自然科学基金(51409202) 中央高校基本科研业务费(2016-YB-016)~~
【分类号】：O354.5

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