We demonstrate some a priori estimates of a scheme using stabilization and hybrid interfaces applying to partial differential equations describing miscible displacement in porous media. This system is made of two coupled equations: an anisotropic diffusion equation on the pressure and a convection-diffusion-dispersion equation on the concentration of invading fluid. The anisotropic diffusion operators in both equations require special care while discretizing by a finite volume method SUSHI. Later, we present some numerical experiments.

中文翻译：

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和平人模型离散化的广义有限体积SUSHI方案

我们展示了使用稳定性和混合接口的方案的一些先验估计，该方案应用于描述多孔介质中混相位移的偏微分方程。该系统由两个耦合方程组成：压力各向异性扩散方程和侵入流体浓度的对流-扩散-扩散方程。两个方程中的各向异性扩散算子在通过有限体积方法 SUSHI 进行离散化时需要特别小心。稍后，我们将介绍一些数值实验。