用于守恒律系统中的DFLU通量
The DFLU flux for systems of conservation laws
AI总结：
本文提出DFLU通量用于求解具有空间不连续通量的守恒律系统，如聚合物驱油模型，并通过数值实验验证其有效性。
摘要：
DFLU数值通量被引入以求解具有空间不连续通量的超几何标量守恒律。本文展示如何将该通量用于求解某些守恒律系统，如油藏工程中的聚合物驱油模型。此外，这些结果扩展到通量函数在空间变量中不连续的情况，例如处理异质油藏时。通过数值实验展示了该新方案相对于上游移动、Lax-Friedrichs和力方案的有效性。
英文摘要：
The DFLU numerical flux was introduced in order to solve hyperbolic scalar conservation laws with a flux function discontinuous in space. We show how this flux can be used to solve certain class of systems of conservation laws such as systems modeling polymer flooding in oil reservoir engineering. Furthermore, these results are extended to the case where the flux function is discontinuous in the space variable. Such a situation arises for example while dealing with oil reservoirs which are heterogeneous. Numerical experiments are presented to illustrate the efficiency of this new scheme compared to other standard schemes like upstream mobility, Lax-Friedrichs and Force schemes.
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