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Use of local time stepping with full pseudospectral solutions to the Navier-Stokes equations of motion for flows with shock waves. (English) Zbl 0704.76032

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76L05 Shock waves and blast waves in fluid mechanics
76N15 Gas dynamics (general theory)
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[1] Gottlieb, D.; Lustman, L.; Orszag, S., Spectral calculations of one-dimensional inviscid compressible flows, SIAM jl, 2, 3, (Sept. 1981)
[2] Sakell, L.; Sakell, L., Pseudospectral solution of one dimensional and two dimensional inviscid flows with shock waves, NRL memorandum report 4892, Aiaa jl, 22, 7, 929-936, (1984), Also · Zbl 0545.76074
[3] Sakell, L., Solution to the Euler equations of motion by pseudospectral techniques, () · Zbl 0704.76032
[4] Sakell, L., Chebyshev-series solutions to the 1-D and 2-D Euler equations with shock waves, () · Zbl 0704.76032
[5] Sakell, L., Pseudospectral solution of inviscid flows with multiple discontinuities, NRL memorandum report 5147 ADA132084, (17 Aug. 1983)
[6] Sakell, L., Full pseudospectral solution to the Euler equations of motion for airfoil flow at transonic speeds, NRL memorandum report 5674, (30 Sept. 1985)
[7] Patera, A.T.; Orszag, S.A., Transition and turbulence in planar channel flows, Cambridge hydrodynamics report no. 37, (1981) · Zbl 0492.76063
[8] Sakell, L., Full pseudospectral solution of the Navier-Stokes equations of motion for an oblique shock boundary layer interaction, () · Zbl 0704.76032
[9] MacCormack, R.W., A numerical method for solving the equations of compressible viscous flow, Aiaa jl, 20, 9, (Sept. 1982)
[10] Sakell, L., On the use of an implicit procedure to accelerate convergence of full pseudospectral solutions to the Navier-Stokes equations of motion for flows with shock waves, () · Zbl 0704.76032
[11] Sakell, L., Solution to the compressible Navier-Stokes equations of motion by Chebyshev polynomials with implicit time stepping, NRL memorandum report 6153, (Dec. 1987)
[12] Barry, F.W.; Shapiro, A.H.; Neumann, E.P., The interaction of shock waves with boundary layers on a flat surface, Jas, (April 1951)
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