×

Front tracking for hyperbolic systems. (English) Zbl 0459.76069


MSC:

76R99 Diffusion and convection
65Z05 Applications to the sciences
35L99 Hyperbolic equations and hyperbolic systems
Full Text: DOI

References:

[1] Albright, N.; Anderson, C.; Concus, P., The random choice method for calculating fluid displacement in a porous medium, (Miller, J., Boundary Layers and Interior Layers—Computational and Asymptotic Methods (1980), Boole Press: Boole Press Dublin) · Zbl 0455.76097
[2] Concus, P.; Proskurowski, W., Numerical solution of a nonlinear hyperbolic equation by the random choice method, J. Comp. Phys., 30, 153-166 (1979) · Zbl 0399.65068
[3] Glimm, J.; Marchesin, D.; McBryan, O., Statistical fluid dynamics: Unstable fingers, Comm. Math. Phys., 74, 1-13 (1980) · Zbl 0429.76029
[4] J. Glimm, D. Marchesin, and O. McBryanComm. Pure Appl. Math.; J. Glimm, D. Marchesin, and O. McBryanComm. Pure Appl. Math. · Zbl 0429.76029
[5] J. Glimm, D. Marchesin, and O. McBryanJ. Comp. Phys.; J. Glimm, D. Marchesin, and O. McBryanJ. Comp. Phys. · Zbl 0429.76029
[6] Glimm, J.; Isaacson, E.; Marchesin, D.; McBryan, O., A shock tracking method for hyperbolic systems, (Presented at the 1980 Army Numerical Analysis and Computers Conference (Feb. 1980)), Moffett Field, California · Zbl 0459.76069
[7] E. Isaacson; E. Isaacson
[8] Haberman, B., The efficiency of miscible displacement as a function of mobility ratio, Trans. AIME, 219, 264 (1960)
[9] McBryan, O., Elliptic and hyperbolic interface refinement, (Miller, J., Boundary Layers and Interior Layers—Computational and Asymptotic Methods (1980), Boole Press: Boole Press Dublin) · Zbl 0457.76095
[10] Richtmeyer, R.; Morton, K., Difference Methods for Initial Value Problems (1957), Interscience: Interscience New York · Zbl 0079.33702
[11] Scheidegger, A., The Physics of Flow through Porous Media (1974), Univ. of Toronto Press: Univ. of Toronto Press Toronto, Canada
[12] O. McBryan; O. McBryan
[13] A. O. Garder, D. W. Peaceman, and A. L. Pozzi; A. O. Garder, D. W. Peaceman, and A. L. Pozzi
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.