Abstract
A new scheme for solving the compressible Navier-Stokes equations is developed. For the inviscid portion of the equations the single step scheme used by the authors is factored according to the sign of the eigenvalues of Jacobian matrix. For the viscous portion of the equations a scheme corrected with operator addition is factored too. The scheme obtained has second order accuracy in time and in space and is used to solve two-dimensional problem. The numerical results of 2-D shock wave-boundary layer interaction are compared with experimental data.
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References
R. M. Beam and R. F. Warming., An implicit factored scheme for the compressible Navier-Stokes equations.AIAAJ. Vol. 16 No. 4. (1978).
Joseph I. Steger and R. W. Warming., Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods,J. of Computational Physics, 40 (1981).
R. W. MacCormack, A numerical method for solving the equations of compressible viscous flow AIAA Paper 81-0110 (1981).
Fu Dexun and Ma Yanwen, A new modified semi-explicit difference scheme in aerodynamics, Proceedings of the 9th International Conference on Numerical Methods in Fluid Dynamics, Paris, (1984).
Ma Yanwen, Investigation of numerical methods for solving the Navier-Stokes equations,Computational Mathematics, 1 (1983) (in Chinese).
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Dexun, F., Yanwen, M. A new implicit factored scheme for the compressible Navier-Stokes equations. Acta Mech Sinica 2, 100–108 (1986). https://doi.org/10.1007/BF02485850
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DOI: https://doi.org/10.1007/BF02485850