Investigation of Several Interpolation Functions for Unstructured Meshes in Conjunction with Compositional Reservoir Simulation
Investigation of Several Interpolation Functions for Unstructured Meshes in Conjunction with Compositional Reservoir Simulation
复制标题
非结构化网格几种插值函数与组合油藏模拟的研究
DOI：
10.1080/10407782.2013.812006
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
K. Sepehrnoori
中科院分区：
文献类型：
--
作者：
B. Fernandes;F. Marcondes;K. Sepehrnoori
流体流动问题数值模拟的关键参数之一是插值函数，用于将数值从计算位置调整到控制体积的界面；例如，如果采用有限体积方法。在本文中，我们使用非结构化三角网格结合基于元素的有限体积方法 (EbFVM) 对几种插值函数进行了研究。我们研究了质量加权逆风（MWU）和该方法的修改版本、逆风方案、基于流线的逆风方案和有限二阶逆风方案。这些插值函数是在使用顶点单元非结构化网格的合成模拟器中实现的。这些插值函数的准确性通过几个案例研究进行了评估。对于其中一些，我们还将结果与可用的解析解进行比较。
One of the key parameters in numerical simulation of fluid flow problems is the interpolation function used for adjusting the numerical value from the position where it is evaluated to the interface of the control volumes; for instance, if the finite-volume method is employed. In this article, we present an investigation of several interpolation functions in conjunction with the element based finite-volume method (EbFVM) using unstructured triangular meshes. We investigate the mass weighted upwind (MWU) and a modified version of this method, the upwind scheme, a streamline based upwind scheme, and a limited second order upwind scheme. These interpolation functions are implemented in a compositional simulator using vertex cell unstructured grids. The accuracy of these interpolation functions are evaluated for several case studies. For some of them, we also compare the results with the available analytical solutions.