On the Reconstruction of Darcy Velocity in Finite-Volume Methods

G. Srinivasan; K. Lipnikov

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On the Reconstruction of Darcy Velocity in Finite-Volume Methods

机译：有限体积法中达西速度的重构

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The accuracy of particle tracking methods for advective transport in porous media depends in turn upon the accuracy of the computed velocity. In many advanced finite-volume methods used in practical applications, the velocity field is often only accurate up to the first order, and is typically defined only on mesh edges. We develop an inexpensive method for reconstructing a quasi-optimal accuracy-preserving velocity field inside the elements of a polygonal mesh. Numerical verification on quadrilateral meshes shows reduction of L~2-error in comparison with conventional reconstruction strategies.

机译：多孔介质中对流输运的粒子跟踪方法的精度又取决于计算出的速度的精度。在实际应用中使用的许多高级有限体积方法中，速度场通常只能精确到一阶，并且通常仅在网格边缘上定义。我们开发了一种廉价的方法来重建多边形网格元素内部的准最优精度保持速度场。四边形网格的数值验证表明，与传统的重建策略相比，L〜2-误差减少了。

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《Transport in Porous Media》 |2013年第2期|337-351|共15页
作者
G. Srinivasan; K. Lipnikov;
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作者单位

Division of Theoretical, Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, NM 87545, USA;

Division of Theoretical, Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, NM 87545, USA;

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原文格式 PDF
正文语种 eng
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关键词
mimetic finite differences; streamlines; velocity reconstruction; finite volume;

机译：模拟有限差分;精简;速度重建有限体积;

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专利

1. On the Reconstruction of Darcy Velocity in Finite-Volume Methods [J] . G. Srinivasan, K. Lipnikov Transport in Porous Media . 2013,第2期

机译：有限体积法中达西速度的重构
2. Continuous elliptic and multi-dimensional hyperbolic Darcy-flux finite-volume methods [J] . Michael G. Edwards, Hongwen Zheng, Sadok Lamine, Computers & Fluids . 2011,第1期

机译：椭圆和多维双曲连续达西-通量有限体积方法
3. Positive-definite q-families of continuous subcell Darcy-flux CVD(MPFA) finite-volume schemes and the mixed finite element method [J] . Michael G. Edwards, Mayur Pal International Journal for Numerical Methods in Fluids . 2008,第4期

机译：连续子单元Darcy-flux CVD（MPFA）有限体积方案的正定q族和混合有限元方法
4. Quasi-M-matrix Anisotropic Darcy-Flux Finite-volume Approximation for General Grids and MPFA Decoupling Analysis [C] . Michael G. Edwards, Hongwen Zheng Society of Petroleum Engineers Reservoir Simulation Sympoium . 2011

机译：准矩阵各向异性达西助焊剂有限体积近似用于通用网格和MPFA解耦分析
5. A strongly conservative finite-volume formulation for fluid flows in complex geometries using contravariant velocity components. [D] . Sharatchandra, M. C. 1995

机译：使用协变速度分量，用于复杂几何形状中的流体流动的非常保守的有限体积公式。
6. Interface condition for the Darcy velocity at the water-oil flood front in the porous medium [O] . Xiaolong Peng, Yong Liu, Baosheng Liang, -1

机译：多孔介质中水油驱替锋面达西速度的界面条件
7. An Enhanced Velocity multIpoint Flux Mixed Finite Element Method for Darcy Flow on Non-matching Hexahedral Grids [O] . Ganis Benjamin, Wheeler Mary F., Yotov Ivan 2015

机译：非匹配六面体网格上达西流的增强速度多点通量混合有限元方法

On the Reconstruction of Darcy Velocity in Finite-Volume Methods

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