Preprint 1998-003

A Study of The Modelling Error in Two Operator Splitting Algorithms for Porous Media Flow.

K. Brusdal, H. K. Dahle, K. Hvistendahl Karlsen, and T. Mannseth.

Abstract: Operator splitting methods are often used to solve convection-diffusion problems of convection dominated nature. However, it is well known that such methods can produce significant (splitting) errors in regions containing self sharpening fronts. To amend this shortcoming, corrected operator splitting methods have been developed. These approaches use the wave structure from the convection step to identify the splitting error. This error is then compensated for in the diffusion step. The main purpose of the present work is to illustrate the importance of the correction step in the context of an inverse problem. The inverse problem will consist of estimating the fractional flow function in a one-dimensional saturation equation.

Available as PostScript
A study of the modelling error in two operator splitting algorithms for porous media flow.
K. Brusdal, <>
Helge K. Dahle, <>
K. Hvistendahl Karlsen, <>
T. Mannseth, <>
Publishing information:
To appear in Computational Geosciences.
Submitted by:
<> January 16 1998.

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