Modified Method of Characteristics Combined with Finite Volume Element Methods for Incompressible Miscible Displacement Problems in Porous Media

SarveshKumar; SangitaYadav

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Modified Method of Characteristics Combined with Finite Volume Element Methods for Incompressible Miscible Displacement Problems in Porous Media

机译：多孔介质中不可压缩的混溶位移问题的特征量修正法与有限体积单元法相结合

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The incompressible miscible displacement problem in porous media is modeled by a coupled system of two nonlinear partial differential equations, the pressure-velocity equation and the concentration equation. In this paper, we present a mixed finite volume element method (FVEM) for the approximation of thepressure-velocity equation. Since modified method of characteristics (MMOC) minimizes the grid orientation effect, for the approximation of the concentration equation, we apply a standard FVEM combined with MMOC.A priorierror estimates inL∞(L2)norm are derived for velocity, pressure and concentration. Numerical results are presented to substantiate the validity of the theoretical results.

机译：通过两个非线性偏微分方程，压力-速度方程和浓度方程的耦合系统对多孔介质中不可压缩的混溶位移问题进行建模。在本文中，我们提出了一种混合有限体积元法（FVEM）来逼近压力-速度方程。由于改进的特征方法（MMOC）可以最大程度地减小网格方向影响，因此对于浓度方程的近似计算，我们将标准FVEM与MMOC结合使用。得出了速度，压力和浓度的L∞（L2）范数的先验误差估计。数值结果表明了理论结果的有效性。

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《International Journal of Partial Differential Equations》 |2014年第1期|共16页
作者
SarveshKumar; SangitaYadav;
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机译：混合有限元法和特征混合有限元法逼近多孔介质中不可压缩混溶驱替

Modified Method of Characteristics Combined with Finite Volume Element Methods for Incompressible Miscible Displacement Problems in Porous Media

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