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Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. (English) Zbl 0339.76056


MSC:

76R99 Diffusion and convection
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
Full Text: DOI

References:

[1] Van Leer, B., Towards the ultimate conservative difference scheme. III. Upstream-centered finite-difference schemes for ideal compressible flow, J. Computational Phys., 23, 263 (1977) · Zbl 0339.76039
[2] Godunov, S. K., Mat. Sb., 4, 271 (1959), also Cornell Aeronautical Lab. Transl.
[3] Van Leer, B., J. Computational Phys., 14, 361 (1974) · Zbl 0276.65055
[4] Courant, R.; Isaacson, E.; Rees, M., Comm. Pure Appl. Math., 5, 243 (1952) · Zbl 0047.11704
[5] Lax, P. D.; Wendroff, B., Comm. Pure Appl. Math., 13, 217 (1960) · Zbl 0152.44802
[6] Fromm, J. E., J. Computational Phys., 3, 176 (1968) · Zbl 0172.20202
[7] Roache, P. J.; Mueller, T. J., AIAA J., 8, 530 (1970) · Zbl 0219.76036
[8] Van Leer, B., MUSCL, a new approach to numerical gas dynamics, (Computing in Plasmaphysics and Astrophysics. Proceedings of the Second European Conference on Computational Physics (1976), Max-Planck-Institut fur Plasmaphysik: Max-Planck-Institut fur Plasmaphysik Garching)
[9] Van Leer, B., (Lecture Notes in Physics, Vol. 18 (1973), Springer: Springer Berlin), 163
[10] Boris, J. P.; Book, D. L., J. Computational Phys., 11, 38 (1973) · Zbl 0251.76004
[11] B. VAN LEER; B. VAN LEER · Zbl 1364.65223
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