A finite volume method for density driven flows in porous media

A finite volume method for density driven flows in porous media
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多孔介质中密度驱动流的有限体积法

DOI：
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发表时间：
2012
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通讯作者：
Yushan Wang
Yushan Wang
中科院分区：
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文献类型：
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作者：
D. Hilhorst;Huy Do;Yushan Wang

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本文将半隐式有限体积法应用于密度驱动的多孔介质流动的数值模拟，相当于求解浓度的非线性对流扩散抛物型方程和压力的椭圆型方程。我们计算了两个具体问题的解：一个涉及盐水和淡水之间的旋转界面的问题，以及经典但困难的亨利问题。所有的解决方案都与运行FEflow获得的结果进行了比较，FEflow是一种商业软件包，用于模拟多孔介质中的地下水流动、质量和热传输。
In this paper, we apply a semi-implicit finite volume method for the numerical simulation of density driven flows in porous media; this amounts to solving a nonlinear convection-diffusion parabolic equation for the concentration coupled with an elliptic equation for the pressure. We compute the solutions for two specific problems: a problem involving a rotating interface between salt and fresh water and the classical but difficult Henry’s problem. All solutions are compared to results obtained by running FEflow, a commercial software package for the simulation of groundwater flow, mass and heat transfer in porous media.