We study 2nd-, 4th-, 6th- and 8th-order accurate finite difference schemes approximating systems of conservation laws. Our goal is to utilize the high order of accuracy of the schemes for approximating complicated flow structures and add suitable diffusion operators to capture shocks.
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Univ Calif Santa Cruz, Dept Phys, Santa Cruz, CA 95064 USAUniv Calif Santa Cruz, Dept Phys, Santa Cruz, CA 95064 USA
Reyes, Adam
Lee, Dongwook
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Univ Calif Santa Cruz, Dept Appl Math, Santa Cruz, CA 95064 USAUniv Calif Santa Cruz, Dept Phys, Santa Cruz, CA 95064 USA
Lee, Dongwook
Graziani, Carlo
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Argonne Natl Lab, Math & Comp Sci, 9700 S Cass Ave, Argonne, IL 60439 USAUniv Calif Santa Cruz, Dept Phys, Santa Cruz, CA 95064 USA
Graziani, Carlo
Tzeferacos, Petros
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Univ Chicago, Dept Astron & Astrophys, Flash Ctr Computat Sci, 5640 S Ellis Ave, Chicago, IL 60637 USAUniv Calif Santa Cruz, Dept Phys, Santa Cruz, CA 95064 USA