×

zbMATH — the first resource for mathematics

Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works. (English) Zbl 0251.76004

MSC:
76-04 Software, source code, etc. for problems pertaining to fluid mechanics
Software:
SHASTA
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Richtlyer, R.D.; Morton, K.W., Difference methods for initial value problems, (1967), Interscience Publishers New York · Zbl 0155.47502
[2] ()
[3] Lax, P.D.; Wendroff, B., Systems of conservation laws, Comm. pure appl. math., 13, 217, (1960) · Zbl 0152.44802
[4] Morton, K.W., Stability and convergence in fluid flow problems, (), 237-253 · Zbl 0225.76002
[5] Roberts, K.V.; Weiss, N.O., Convective difference schemes, Math. comp., 20, 27, (1966) · Zbl 0137.33404
[6] Haltiner, G.J., Numerical weather prediction, Naval weather research facility report NWRF 30-0768-142, (July 1968)
[7] Boris, J.P., A fluid transport algorithm that works, ()
[8] Emery, A.F., An evaluation of several differencing methods for inviscid fluid flow problems, J. comput. phys., 2, 306-331, (1968) · Zbl 0155.21102
[9] Von Neumann, J.; Richtmyer, R.D., A method for the numerical calculations of hydrodynamical shocks, J. appl. phys., 21, 232, (1950) · Zbl 0037.12002
[10] Crank, J.; Nicholson, P., A practical method for numerical integration of solutions of partial differential equations of heat conduction type, (), 50 · Zbl 0029.05901
[11] One-sided difference schemes of the type we test here are attributed to R. lelevier by Richtmyer and morton, (1953)
[12] Crowley, W.P., Mon. weather rev., 96, 1, (1968)
[13] Fromm, J.E., A method for reducing dispersion in convective difference schemes, J. comput. phys., 3, 176, (1968) · Zbl 0172.20202
[14] Courant, R.; Fredrichs, K.O.; Lewy, H., Math. ann., 100, 32, (1928)
[15] Lapidus, A., Computation of radially symmetric shocked flows, J. comput. phys., 8, 106-118, (1971) · Zbl 0221.65183
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.