Preprint 1997-028
Viscous splitting approximation of mixed hyperbolic-parabolic
convection-diffusion equations
Steinar Evje and Kenneth Hvistendahl Karlsen
Abstract:
We first analyse a semi-discrete operator splitting method for nonlinear,
possibly strongly degenerate, convection-diffusion equations. Due to strong
degeneracy, solutions can be discontinuous and are in general not uniquely
determined by their data. Hence weak solutions satisfying an entropy condition
are sought. We then propose and analyse a fully discrete splitting method
which employs a front tracking method for the convection step and a finite
difference scheme for the diffusion step. Numerical examples are presented
which demonstrate that our method can be used to compute physically correct
solutions to mixed hyperbolic-parabolic convection-diffusion equations.
- Paper:
- Available as PostScript
- Title:
- Viscous splitting approximation of mixed hyperbolic-parabolic
convection-diffusion equations
- Author(s):
- Steinar Evje,
<steinar.evje@mi.uib.no>
- Kenneth Hvistendahl Karlsen,
<kenneth.karlsen@mi.uib.no>
- Publishing information:
- Preprint, Institut Mittag-Leffler, 1997, Stockholm, Sweden
- Comments:
-
- Submitted by:
-
<kenneth.karlsen@mi.uib.no>
November 17 1997.
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