Journal Article10.2118/5735-PA
A Nonlinear Stability Analysis for Difference Equations Using Semi-Implicit Mobility
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About: This article is published in Society of Petroleum Engineers Journal. The article was published on 01 Feb 1977. The article focuses on the topics: Finite difference method.
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Citations
Reservoir Simulation Using an Adaptive Implicit Method
G.W. Thomas,D.H. Thurnau +1 more
TL;DR: This paper deals with a new implicit method for reservoir simulation that operates with different levels of implicitness in adjacent gridblocks, which leads to matrix equations of lower order than the original problem that are solved at less cost.
154
Geothermal reservoir simulation: 2. Numerical solution techniques for liquid‐ and vapor‐dominated hydrothermal systems
Charles R. Faust,James W. Mercer +1 more
TL;DR: In this paper, two numerical models for simulating three-dimensional, two-phase fluid flow and heat transport in geothermal reservoirs are introduced, one based on a 3D formulation of the governing equations for geothermal reservoir and the other based on partial integration of the 3D equations in the vertical dimension.
97
IMPES Stability: The CFL Limit
TL;DR: This work considers cocurrent, three-dimensional, single-phase miscible and two-phase immiscible, hyperbolic flow in a general grid, structured or unstructured.
68
IMPES Stability: The CFL Limit
Keith H. Coats
- 01 Jan 2001
TL;DR: This work shows that the eigenvalues of the stability matrix are equal to its diagonal entries, for any ordering scheme, which leads to a conclusion of an early paper that CFL < 1 is required for non-oscillatory stability.
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