An Adaptive Multiscale Method for Simulation of Fluid Flow in Heterogeneous Porous Media
An Adaptive Multiscale Method for Simulation of Fluid Flow in Heterogeneous Porous Media
复制标题
非均质多孔介质中流体流动的自适应多尺度模拟方法
DOI：
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发表时间：
2006
影响因子：
1.6
通讯作者：
Y. Efendiev
中科院分区：
文献类型：
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作者：
J. Aarnes;Y. Efendiev
几种以低计算成本提供高分辨率速度场的椭圆问题多尺度方法已应用于多孔介质流动问题。然而，为了提高流动模拟的准确性，用于模拟传输的数值方案必须考虑速度场中的精细尺度结构。对于常规模拟来说，使用传统的有限体积方法在精细尺度上求解输运方程通常会耗费大量的计算资源。在本文中，我们提出了一种更有效的自适应多尺度方法来求解输运方程。在该方法中，全局流是在粗网格尺度上计算的，同时尊重速度场中的精细尺度信息。该方法在具有复杂异构结构的二维和三维测试用例上进行了测试。数值结果表明，自适应多尺度方法给出了与模拟几乎相同的流动特性，其中运输...
Several multiscale methods for elliptic problems that provide high resolution velocity fields at low computational cost have been applied to porous media flow problems. However, to achieve enhanced accuracy in the flow simulation, the numerical scheme for modeling the transport must account for the fine scale structures in the velocity field. To solve the transport equation on the fine scale with conventional finite volume methods will often be prohibitively computationally expensive for routine simulations. In this paper we propose a more efficient adaptive multiscale method for solving the transport equation. In this method the global flow is computed on a coarse grid scale, while at the same time honoring the fine scale information in the velocity field. The method is tested on both two‐ and three‐dimensional test cases with complex heterogeneous structures. The numerical results demonstrate that the adaptive multiscale method gives nearly the same flow characteristics as simulations where the transpor...