Global and local central non‐upwind finite volume schemes for hyperbolic conservation laws in porous media
Michael G. Edwards
Abstract
Michael G. Edwards
Abstract
Abstract The focus of this paper is on the development of convective flow approximation schemes that offer the benefits of an upwind formalism without actually upwinding. Development of robust schemes that remove or reduce upwind dependence would represent a significant step forward leading to a fundamental simplification of current methods for flow in porous media and reservoir simulation. Copyright © 2009 John Wiley & Sons, Ltd.
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Abstract The focus of this paper is on the development of convective flow approximation schemes that offer the benefits of an upwind formalism without actually upwinding. Development of robust schemes that remove or reduce upwind dependence would represent a significant step forward leading to a fundamental simplification of current methods for flow in porous media and reservoir simulation. Copyright © 2009 John Wiley & Sons, Ltd.
Key concepts: Upwind scheme, Conservation law, Porous medium, Finite volume method, Mechanics, Formalism (music), Flow (mathematics), Mathematics