Выходит 12 номеров в год
ISSN Печать: 1091-028X
ISSN Онлайн: 1934-0508
Indexed in
Analyzing Finite Volume for Single-Phase Flow in Porous Media
Краткое описание
Two-point finite volume methods (2P-FVMs) are extensively used for understanding porous media flow because these methods are fast and simple. In this article, we present numerical analysis of the two-point finite volume discretization of a pressure equation of a single-phase flowing in porous media. We present numerical problems with discontinuous permeability and diagonal permeability, together with Neumann and Dirichlet boundary conditions. An analysis of the effect of boundary conditions on the conditioning of the discrete systems is presented. We also analyze convergence of the 2P-FVM in various norms (L2 convergence for pressure and Darcy velocity and L∞ convergence for pressure) for problems with regularity H1+γ, for γ = 0.1, 0.2, ..., 0.9, 0.99.
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Khattri Sanjay Kumar, A simple and effective mesh adaptation, Applied Mathematics Letters, 22, 3, 2009. Crossref
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Sanjay Kumar Khattri, Encheva Sylvia, Mesh optimizatin : Anisotropic or Uniform Meshes for Reaction Diffusion Problems?, 2007 International Conference on Computational Science and its Applications (ICCSA 2007), 2007. Crossref
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Khattri Sanjay Kumar, An effective quadrilateral mesh adaptation, Journal of Zhejiang University-SCIENCE A, 7, 12, 2006. Crossref
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Khattri Sanjay Kumar, Linearized Initialization of the Newton Krylov Algorithm for Nonlinear Elliptic Problems, in Computational Science – ICCS 2008, 5101, 2008. Crossref
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Khattri Sanjay Kumar, Stopping Criterion for Adaptive Algorithm, in Computational Science – ICCS 2008, 5101, 2008. Crossref
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Khattri Sanjay Kumar, A New Smoothing Algorithm for Quadrilateral and Hexahedral Meshes, in Computational Science – ICCS 2006, 3992, 2006. Crossref
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Khattri Sanjay Kumar, Multiblock Grid Generation for Simulations in Geological Formations, in Computational Science and Its Applications – ICCSA 2007, 4705, 2007. Crossref
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Khattri Sanjay Kumar, Computationally Efficient Technique for Nonlinear Poisson-Boltzmann Equation, in Computational Science – ICCS 2006, 3991, 2006. Crossref
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Pal Mayur, Numerical convergence of the family of flux-continuous schemes with variable quadrature (qu1,qu2) for single phase flow in porous media, Mathematical Models in Engineering, 8, 2, 2022. Crossref