van Leer, Bram Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow. (English) Zbl 0339.76039 J. Comput. Phys. 23, 263-275 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 116 Documents MSC: 76G25 General aerodynamics and subsonic flows 76H05 Transonic flows 76J20 Supersonic flows 65N35 Spectral, collocation and related methods for boundary value problems involving PDEs PDF BibTeX XML Cite \textit{B. van Leer}, J. Comput. Phys. 23, 263--275 (1977; Zbl 0339.76039) Full Text: DOI OpenURL References: [1] Lax, P.D.; Wendroff, B., Comm. pure appl. math., 13, 217, (1960) [2] Courant, R.; Isaacson, E.; Rees, M., Comm. pure appl. math., 5, 243, (1952) [3] Fromm, J.E., J. computational phys., 3, 176, (1968) [4] Godunov, S.K., Mat. sb., 47, 271, (1959), also Cornell Aeronautical Lab. Transl [5] Wesseling, P., J. engineering math., 7, 19, (1973) [6] Richtmyer, R.D.; Morton, K.W., Difference methods for initial-value problems, (1967), Interscience New York · Zbl 0155.47502 [7] Von Neumann, J.; Richtmyer, R.D., J. appl. phys., 21, 232, (1950) [8] Godunov, S.K.; Zabrodyn, A.W.; Prokofov, G.P., Z. vycisl. mat. i mat. fiz., 1, 1020, (1961) [9] Rusanov, V.V., Z. vycisl. mat. i mat. fiz., 1, 267, (1961), also Nat. Research Council of Canada Technical Transl. 1027 [10] Taylor, T.D.; Ndefo, E.; Masson, B.S., J. computational phys., 9, 99, (1972) [11] Van Leer, B., A choice of difference schemes for ideal compressible flow, () · Zbl 0167.25101 [12] Burstein, S.Z.; Rubin, E.L., J. computational phys., 2, 178, (1967) [13] Morton, K.W., (), 237 [14] Roache, P.J., Computational fluid dynamics, (1972), Hermosa Albuquerque, N.M · Zbl 0251.76002 [15] Burstein, S.Z., J. computational phys., 1, 198, (1966) [16] Van Leer, B., J. computational phys., 3, 473, (1969) [17] Rusanov, V.V.; Rusanov, V.V., Dokl. akad. nauk SSSR, Sov.math. dokl., 9, 771, (1968), English transl. [18] Burstein, S.Z.; Mirin, A.A., J. computational phys., 5, 547, (1970) [19] Van Leer, B., J. computational phys., 14, 361, (1974) [20] V. V. RusANov, private communication, 1976. 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.