Higher‐resolution convection schemes for flow in porous media on highly distorted unstructured grids
Higher‐resolution convection schemes for flow in porous media on highly distorted unstructured grids
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DOI：
10.1002/nme.2335
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发表时间：
2008-11
影响因子：
2.9
通讯作者：
Sadok Lamine;M. Edwards
中科院分区：
文献类型：
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作者：
Sadok Lamine;M. Edwards
提出了高分辨率格式，用于在高度扭曲的非结构网格上进行对流计算。格式与连续全张量Darcy通量近似相耦合。建立了一系列非均匀和扭曲的网格公式，并对一系列具有可变网格间距的非结构网格进行了比较。高阶格式使用非均匀网格斜率限制器构造，利用局部极大值原理使其稳定，确保解没有虚假振荡。对油藏模拟中的经典测试问题，包括具有全张量渗透率场的情况，证明了所得到的格式的好处。测试用例涉及一系列非结构化网格，这些网格在网格间距、方向和渗透率方面存在差异，导致了标准模拟方法无法解决的流场问题。结果表明，高阶公式有效地减少了数值扩散，提高了浓度和饱和前沿的分辨率。版权所有©2008 John Wiley&Sons，Ltd.
Higher‐resolution schemes are presented for convective flow approximation on highly distorted unstructured grids. The schemes are coupled with continuous full‐tensor Darcy‐flux approximations. A sequence of non‐uniform and distorted grid formulations are developed and compared for a range of unstructured meshes with variable grid spacing. The higher‐order schemes are constructed using non‐uniform grid slope limiters such that they are stable with a local maximum principle, ensuring that solutions are free of spurious oscillations. Benefits of the resulting schemes are demonstrated for classical test problems in reservoir simulation including cases with full‐tensor permeability fields. The test cases involve a range of unstructured grids with variations in grid spacing, orientation and permeability that lead to flow fields that are poorly resolved by standard simulation methods. The higher‐order formulations are shown to effectively reduce numerical diffusion, leading to improved resolution of concentration and saturation fronts. Copyright © 2008 John Wiley & Sons, Ltd.