流体动力学中的平面波黎曼问题
On the plane wave Riemann Problem in Fluid Dynamics
AI总结：
本文针对理想可压缩气体的二维双曲守恒律，分析平面波黎曼问题的稳定性，证明接触间断在扰动下不稳定，并讨论对Godunov方法的影响及与碳化不稳定性的关联。
摘要：
本文包含对理想可压缩气体二维双曲守恒律的平面波黎曼问题的稳定性分析。证明了平面波黎曼问题中的接触间断在扰动下是不稳定的。讨论了其对Godunov方法的影响，并表明数值激波后噪声可能引发接触不稳定性。建立了与碳化不稳定性的关联。
英文摘要：
The paper contains a stability analysis of the plane-wave Riemann problem for the two-dimensional hyperbolic conservation laws for an ideal compressible gas. It is proved that the contact discontinuity in the plane-wave Riemann problem is unstable under perturbations. The implications for Godunovs method are discussed and it is shown that numerical post shock noise can set of a contact instability. A relation to carbuncle instabilities is established.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
