Newton's method solver for high-speed viscous separated flowfields

作者: Paul D. Orkwis , D. Scott McRae

DOI: 10.2514/3.10885

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摘要: A new method for calculating the 2-D, laminar Navier-Stokes equations is presented. The uses Newton's nonlinear systems of to find steady-state solutions. are approximated by finite differences using Roe's flux difference splitting. Second-order accuracy attained Spekreijse's interpolation with Van Albada's limiter. exact Jacobian matrix inverted recent sparse routines. symbolic manipulation package MACSYMA used develop and write FORTRAN code

参考文章(22)
Philip L. Roe, Bram Van Leer, James L. Thomas, Richard W. Newsome, A comparison of numerical flux formulas for the Euler and Navier-Stokes equations 8th Computational Fluid Dynamics Conference, 1987. ,(1987)
Bernard Philippe, Youcef Saad, William J. Stewart, Numerical Methods in Markov Chain Modeling Operations Research. ,vol. 40, pp. 1156- 1179 ,(1992) , 10.1287/OPRE.40.6.1156
E. BENDER, P. KHOSLA, Application of sparse matrix solvers and Newton's method to fluid flow problems 1st National Fluid Dynamics Conference. pp. 402- 408 ,(1988) , 10.2514/6.1988-3700
V. VATSA, J. THOMAS, B. WEDAN, Navier-Stokes computations of prolate spheroids at angle of attack 14th Atmospheric Flight Mechanics Conference. ,(1987) , 10.2514/6.1987-2627
V. Venkatakrishnan, Preconditioned conjugate gradient methods for the compressible Navier-Stokes equations AIAA Journal. ,vol. 29, pp. 1092- 1100 ,(1990) , 10.2514/3.10708
JOHN KORTE, D. MCRAE, Explicit upwind algorithm for the parabolized Navier-Stokes equations 26th AIAA Aerospace Sciences Meeting. ,vol. 26, ,(1988) , 10.2514/6.1988-716