Abstract
A critical analysis is given of the mechanisms for mass conservation loss for the front tracking algorithm of the authors and co-workers in the context of two phase incompressible flow in porous media. We describe the resolution to some of the non-conservative aspects of the method, and suggest methods for dealing with the remainder.
Supported in part by the Army Research Organization, grant DAAL03-89-K0017; the National Science Foundation, grant DMS-8619856; and the Applied Mathematical Sciences subprogram, U.S. Department of Energy, contract No. DE-FG02-88ER25053.
Supported in part by the Applied Mathematical Sciences subprogram, U.S. Department of Energy, contract No. DE-FG02-88ER25053.
Supported in part by the Applied Mathematical Sciences subprogram, U.S. Department of Energy, contract No. DE-FG02-88ER25053.
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Glimm, J., Lindquist, B., Zhang, Q. (1991). Front Tracking, Oil Reservoirs, Engineering Scale Problems and Mass Conservation. In: Glimm, J., Majda, A.J. (eds) Multidimensional Hyperbolic Problems and Computations. The IMA Volumes in Mathematics and Its Applications, vol 29. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9121-0_10
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DOI: https://doi.org/10.1007/978-1-4613-9121-0_10
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