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Flux-corrected transport. III: Minimal-error FCT algorithms. (English) Zbl 0325.76037


MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
76G25 General aerodynamics and subsonic flows
76J20 Supersonic flows
76-04 Software, source code, etc. for problems pertaining to fluid mechanics

Software:

SHASTA
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Full Text: DOI

References:

[1] Boris, J.P.; Book, D.L., Flux-corrected transport. I. SHASTA, a transport algorithm that works, J. comp. phys., 11, 38, (1973), (referenced as FCT/I in text) · Zbl 0251.76004
[2] Book, D.L.; Boris, J.P.; McDonald, B.E.; Wagner, C.E.; Boris, J.P., A fluid transport algorithm that works, ()
[3] Boris, J.P., SHAS2D, a fully compressible hydrodynamics code in two dimensions, U.S. naval research laboratory, memorandum report no. 2542, (December 1972)
[4] Book, D.L.; Boris, J.P.; Hain, K., Flux-corrected transport. II. generalizations of the method, J. comp. phys., 18, 248, (1975), (referenced as FCT/II in text) · Zbl 0306.76004
[5] Anderson, D.V., Axisymmetric multifluid simulation of high beta plasmas with anisotropic transport using a moving flux coordinate grid, J. comp. phys., 17, 246, (1975)
[6] Book, D.L.; Ott, Edward; Sulton, A.L., The Rayleigh-Taylor instability in the shallow-water approximation, Phys. fluids, 17, 676, (1974) · Zbl 0331.76033
[7] Book, D.L.; Goldman, S.R.; Ossakow, S.L., Interaction of a small F-region barium cloud with the neutral wind, Eos, 56, 1154, (1974)
[8] Boris, J.P.; Gardner, J.H.; Zalesak, S., Atmosphere hydrocodes using FCT algorithms, NRL memorandum report no. 3081, (1975)
[9] Book, D.; Boris, J.; Clark, R.; Columbant, D.; Gardner, J.; Liewer, P.; Manheimer, W.; Zalesak, S., Flux-corrected transport strikes again, ()
[10] Gardner, J.; Chevalier, R.A., The evolution of supernova remenants. II. models of an explosion in a plane, stratified medium, Astrophys. J., 192, 457, (1974)
[11] Liewer, P.C.; Krall, N.A., Self-consistent approach to anomalous resistivity applied to theta pinch experiments, Phys. fluids, 16, 1953, (1973)
[12] Liewer, P.C.; Krall, N.A.; Wagner, C.E., Numerical studies of theta-pinch implosions in turbulent plasmas, Bull. amer. phys. soc., 18, 1366, (1975)
[13] Widner, M.; Wright, T.; Freeman, J.; Freeman, J.; Thompson, S., (), 17, 1047, (1972)
[14] Moretti, Gino, Thoughts and afterthoughts about shock computations, Polytechnic institute of brooklyn, report no. PIBAL 72-37, (1972)
[15] Evans, M.E.; Harlow, F.H., The particle-in-cell method for hydrodynamic calculations, Los alamos sci. lab. report no. LA-2139, (1957)
[16] Orszag, S.A.; Orszag, S.A.; Israel, M., Numerical flow simulation by spectral methods, (), 50, 293, (1971)
[17] Ahlberg, J.H.; Nilson, E.N.; Walsh, J.L., The theory of splines and their applications, (1967), Academic Press New York and London · Zbl 0158.15901
[18] Richtmyer, R.D.; Morton, K.W., Difference methods for initial value problems, (1967), Interscience New York, Sections 12.9, and 13.9 · Zbl 0155.47502
[19] Phillips, N.A., An example of non-linear computational instability, (), 501
[20] Grammeltvedt, A., A survey of finite-difference schemes for the primitive equation for a barotropic fluid, Mon. weather rev., 97, 384, (1969)
[21] Gerrity, J.P., A note on the convectional stability of the two-step Lax-Wendroff form of the advection equation, Mon. weather rev., 100, 72, (1972)
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.