关于多孔介质两相流的上游迁移率格式
On the upstream mobility scheme for two-phase flow in porous media
AI总结：
研究忽略毛细管力时多孔介质中两相不可压缩流的数值通量，对比Godunov通量与上游迁移率通量，发现岩石类型变化时上游迁移率通量可能给出错误结果。
摘要：
当忽略毛细管力时，多孔介质中的两相不可压缩流被建模为标量非线性双曲守恒律。岩石类型的变化导致通量函数的变化。通过一维有限体积法离散，我们研究了两种数值通量：Godunov通量的推广和上游迁移率通量，后者广泛应用于水文地质和石油工程。然后，在岩石类型变化的情况下，可以给出上游迁移率通量不能给出正确结果的例子。
英文摘要：
When neglecting capillarity, two-phase incompressible flow in porous media is modelled as a scalar nonlinear hyperbolic conservation law. A change in the rock type results in a change of the flux function. Discretizing in one-dimensional with a finite volume method, we investigate two numerical fluxes, an extension of the Godunov flux and the upstream mobility flux, the latter being widely used in hydrogeology and petroleum engineering. Then, in the case of a changing rock type, one can give examples when the upstream mobility flux does not give the right answer.
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