Schardin问题的数值研究  

Numerical investigations on the Schardin's problem

作　　者：沙莎[1] 陈志华[1] 张焕好[1] 姜孝海[1] 

机构地区：[1]南京理工大学瞬态物理重点实验室,南京210094

出　　处：《物理学报》2012年第6期363-371,共9页Acta Physica Sinica

基　　金：高等学校博士学科点专项科研基金(批准号:20103219110037)资助的课题~~

摘　　要：激波绕过三角楔(Schardin问题)时会产生激波马赫反射与绕射、三角楔尾涡与涡串等复杂物理现象.本文利用三阶精度加权基本无振荡(WENO)格式、结构化矩形网格的自适应加密方法与沉浸边界法对Schardin问题进行了数值模拟.数值结果清晰地显示了激波与三角楔相互作用,在楔面发生马赫反射以及在楔角绕射诱导主涡的过程,并与Schardin等的实验结果及相关数值结果完全符合.另外,数值结果还详细反映了先前实验与数值结果没有详细讨论的主涡滑移层上的涡串生成机理,以及激波与涡串相互作用和产生声波的过程.When shock waves passes through a triangle wedge（Schardin＇s problem）,some complicated physical phenomena,including shock wave Mach refection and diffraction,wedge wake,vortexlet,etc.may occur.In this paper,the Schardin＇s problem is investigated numerically with the combination of the third-order WENO scheme,structured adaptive mesh refinement（AMR） method and immersed boundary method.Our numerical results show clearly the interaction between the incident shock wave and the triangle wedge,the Mach reflection on the wedge surface,its diffraction at the wedge tips,and the induction of the main vortex,which accord excellently with Schardin＇s experimental and previous numerical results.In addition,our numerical results display in detail the induction process of the vortexlet along the slip layer of the main vortex and the interaction of the shock wave with the vortexlet,and the generation of the serial acoustic waves,which have not been reported in the literature.

关 键 词：激波 涡串 WENO格式 AMR方法 

分 类 号：O354.5[理学—流体力学]