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基于映射函数的三阶WENO改进格式及其应用

徐维铮 孔祥韶 吴卫国

徐维铮, 孔祥韶, 吴卫国. 基于映射函数的三阶WENO改进格式及其应用[J]. 应用数学和力学, 2017, 38(10): 1120-1135. doi: 10.21656/1000-0887.370345
引用本文: 徐维铮, 孔祥韶, 吴卫国. 基于映射函数的三阶WENO改进格式及其应用[J]. 应用数学和力学, 2017, 38(10): 1120-1135. doi: 10.21656/1000-0887.370345
XU Wei-zheng, KONG Xiang-shao, WU Wei-guo. An Improved rd-Order WENO Scheme Based on Mapping Functions and Its Application[J]. Applied Mathematics and Mechanics, 2017, 38(10): 1120-1135. doi: 10.21656/1000-0887.370345
Citation: XU Wei-zheng, KONG Xiang-shao, WU Wei-guo. An Improved rd-Order WENO Scheme Based on Mapping Functions and Its Application[J]. Applied Mathematics and Mechanics, 2017, 38(10): 1120-1135. doi: 10.21656/1000-0887.370345

基于映射函数的三阶WENO改进格式及其应用

doi: 10.21656/1000-0887.370345
基金项目: 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)
详细信息
    作者简介:

    徐维铮(1991—) ,男,博士生(E-mail: xuweizheng@whut.edu.cn);孔祥韶(1983—) ,男,副教授,硕士生导师(通讯作者. E-mail: kongxs@whut.edu.cn).

  • 中图分类号: O346.1

An Improved rd-Order WENO Scheme Based on Mapping Functions and Its Application

Funds: The National Natural Science Foundation of China(51409202)
  • 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.
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出版历程
  • 收稿日期:  2016-11-14
  • 修回日期:  2016-12-26
  • 刊出日期:  2017-10-15

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