Higher‐resolution hyperbolic‐coupled‐elliptic flux‐continuous CVD schemes on structured and unstructured grids in 2‐D

Higher‐resolution hyperbolic‐coupled‐elliptic flux‐continuous CVD schemes on structured and unstructured grids in 2‐D
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二维结构化和非结构化网格上的高分辨率双曲耦合椭圆通量连续 CVD 方案

DOI:
10.1002/fld.1245
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发表时间:
2006
影响因子:
1.8
通讯作者:
M. Edwards
M. Edwards
中科院分区:
工程技术4区
文献类型:
--
作者:
M. Edwards

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高阶对流格式已经发展为本质上双曲型油藏模拟系统,可以显著提高解的质量。对于具有一般几何张量和渗透率张量的多孔介质压力方程,在结构网格和非结构网格上也建立了局部保守的全张量通量连续有限体积格式。这些方案消除了由标准方法引起的0(1)误差,现在被认为是设计用于油藏模拟和模拟多孔介质流动的任何数值方法的重要组成部分。
Higher‐order convection schemes have been developed for the essentially hyperbolic systems of reservoir simulation and can significantly enhance solution quality. Locally conservative full‐tensor flux‐continuous finite‐volume schemes have also been developed for the porous medium pressure equation with general geometry and permeability tensors on structured and unstructured grids. These schemes remove O(1) errors induced by standard methods, and are now recognized as an essential component of any numerical method designed for reservoir simulation and modelling flow in porous media.