MACH REFLECTION FOR THE 2-DIMENSIONAL BURGERS-EQUATION

被引：56

作者：

BRIO, M

HUNTER, JK

机构：

[1] UNIV CALIF DAVIS,DEPT MATH,DAVIS,CA 95616

[2] UNIV CALIF DAVIS,INST THEORET DYNAM,DAVIS,CA 95616

来源：

PHYSICA D | 1992年 / 60卷 / 1-4期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0167-2789(92)90236-G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study shock reflection for the two 2D Burgers equation. This model equation is an asymptotic limit of the Euler equations, and retains many of the features of the full equations. A von Neumann type analysis shows that the 2D Burgers equation has detachment, sonic, and Crocco points in complete analogy with gas dynamics. Numerical solutions support the detachment/sonic criterion for transition from regular to Mach reflection. There is also strong numerical evidence that the reflected shock in the 2D Burgers Mach reflection forms a smooth wave near the Mach stem, as proposed by Colella and Henderson in their study of the Euler equations.

引用

页码：194 / 207

页数：14

共 17 条

[1] NONLINEAR DIFFRACTION AND CAUSTIC FORMATION [J].