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Maxwell and Cattaneo’s Time - Delay Ideas Applied to Shockwaves and the Rayleigh - Bénard Problem

Uribe F. J., Hoover W. G., Hoover C. G.

Computational Methods in Science and Technology

2013

Vol. 19, No. 1

5--12

We apply Maxwell and Cattaneo’s relaxation approaches to the analysis of strong shockwaves in a two-dimensional viscous heat-conducting fluid. Good agreement results for reasonable values of Maxwell’s relaxation times. Instability results if the viscous relaxation time is too large. These relaxation terms have negligible effects on slower-paced subsonic problems, as is shown here for two-roll and four-roll Rayleigh-Bénard flow