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A weak formulation of Roe’s scheme for two-dimensional, unsteady, compressible flows and steady, supersonic flows. (English) Zbl 0834.76056

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76J20 Supersonic flows
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References:

[1] Toumi, I., A weak formulation of Roe’s approximate Riemann solver, J. Comput. Phys., 102, 2, 360-373 (1992) · Zbl 0783.65068
[2] Roe, P. L., Approximate Riemann solvers, parameter vectors and difference schemes, J. Comput. Phys., 43, 2, 357-372 (1981) · Zbl 0474.65066
[3] Glaister, P., An extension of Toumi’s method and its application to the two-dimensional, unsteady, shallow water equations, Mathl. Comput. Modelling, 21, 3, 93-98 (1995) · Zbl 0820.76057
[4] Glaister, P., A comparison of the different extensions of a weak formulation of an approximate Riemann solver for steady, supercritical flows and their relationship to existing schemes, Computers Math. Applic., 29, 12, 27-38 (1995) · Zbl 0835.76059
[5] Glaister, P., A finite difference scheme for steady, supersonic, two-dimensional, compressible flow of real gases, Computers Math. Applic., 24, 4, 49-59 (1992) · Zbl 0763.76048
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