A Study of The Modelling Error in Two Operator Splitting Algorithms for
Porous Media Flow.
K. Brusdal, H. K. Dahle, K. Hvistendahl Karlsen, and
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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