Multidimensional Numerical Dispersion
- 1 February 1983
- journal article
- Published by Society of Petroleum Engineers (SPE) in Society of Petroleum Engineers Journal
- Vol. 23 (01) , 143-151
- https://doi.org/10.2118/9018-pa
Abstract
Numerical dispersion can cause a smearing of otherwise sharp saturation fronts. The usual methods of estimating the magnitude of the smearing effect in one dimension (1D) are shown to apply in two and three dimensions (2-and 3D) as well. Besides the smearing effect, numerical dispersion affects the finite-difference solution of a multidimensional flow problem by rotating the principal flow axes. A method for determining the importance of the rotation effect is discussed. Numerical illustrations are included.Keywords
This publication has 13 references indexed in Scilit:
- Controlling Numerical Dispersion by Variably Timed Flux Updating in One DimensionSociety of Petroleum Engineers Journal, 1982
- Controlling Numerical Dispersion by Variably Timed Flux Updating in Two DimensionsSociety of Petroleum Engineers Journal, 1982
- One Approach to the Grid Orientation Problem in Reservoir SimulationSociety of Petroleum Engineers Journal, 1981
- The Operator Compact Implicit Method for Reservoir SimulationSociety of Petroleum Engineers Journal, 1980
- A Weighted Nine-Point Finite-Difference Scheme For Eliminating The Grid Orientation Effect In Numerical Reservoir SimulationPublished by Society of Petroleum Engineers (SPE) ,1979
- A High-Accuracy Finite-Difference Technique for Treating the Convection-Diffusion EquationSociety of Petroleum Engineers Journal, 1975
- Methods for Increased Accuracy in Numerical Reservoir SimulatorsSociety of Petroleum Engineers Journal, 1972
- An Improved Numerical Technique for Solving Multidimensional Miscible Displacement EquationsSociety of Petroleum Engineers Journal, 1971
- Quantitative Evaluation of Numerical Diffusion (Truncation Error)Society of Petroleum Engineers Journal, 1971
- Numerical Methods of Higher-Order Accuracy for Diffusion- Convection EquationsSociety of Petroleum Engineers Journal, 1968