论文标题
带有相函数和多组分方程的两相混合双曲线系统的Riemann问题
The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state
论文作者
论文摘要
在本文中，研究了一个与$ n $组件的两相混合物流的部分微分方程的双曲系统。它源自涉及扩散和交换项的更复杂的模型。该模型的重要特征是等温流的假设，使用相位场函数来区分相位和涉及相场函数的状态的混合方程，以及在液相中的部分密度和部分压力之间的仿射关系。这使分析变得复杂。给出了Riemann初始价值问题的完整解决方案。建议一些有趣的例子作为数值方案的基准标记。
In this paper a hyperbolic system of partial differential equations for two-phase mixture flows with $N$ components is studied. It is derived from a more complicated model involving diffusion and exchange terms. Important features of the model are the assumption of isothermal flow, the use of a phase field function to distinguish the phases and a mixture equation of state involving the phase field function as well as an affine relation between partial densities and partial pressures in the liquid phase. This complicates the analysis. A complete solution of the Riemann initial value problem is given. Some interesting examples are suggested as bench marks for numerical schemes.
