Discretized Newton-relaxation solution of high resolution flux-difference split schemes

摘要: A method is presented for the implicit solution of high resolution flux-difference split schemes which it impractical to obtain Jacobian matrix analytically. The used frequently in numerical solving nonlinear systems equations, but apparently has not been date approximating Roe flux vectors. consists obtaining a discretized by using simple finite-differences vectors, and then this Newton-relaxation method. applied both compressible incompressible flows. Numerical results are that demonstrate works inviscid viscous