Multidimensional Shock Interaction for a Chaplygin Gas
Multidimensional Shock Interaction for a Chaplygin Gas
复制标题
DOI：
10.1007/s00205-008-0110-z
复制
发表时间：
2009-03
影响因子：
2.5
通讯作者：
D. Serre
中科院分区：
文献类型：
--
作者：
D. Serre
Chaubergin气体是一种无粘性、可压缩的流体，其中声场是线性退化的。我们分析了多维冲击在这样一种流体，这原来是声波。一般情况下，两个冲击相互作用相当简单。我们研究了几个二维Riemann问题，并证明了唯一解的存在性。其中之一是平面激波对楔形物的超音速反射;我们注意到，与其他气体的情况相反，这种解不可能是马赫反射，而且总是存在规则反射形式的解。
A Chaplygin gas is an inviscid, compressible fluid in which the acoustic fields are linearly degenerate. We analyze the multidimensional shocks in such a fluid, which turn out to be sonic. Two shocks in general position interact rather simply. We investigate several two-dimensional Riemann problems and prove the existence of a unique solution. Among them is the supersonic reflection of a planar shock against a wedge; we remark that the solution cannot be a Mach reflection, contrary to what happens for other gases, and that there always exists a solution in the form of a regular reflection.