Solver of three-dimensional Navier-Stokes equations based on the fully implicit unfactored algorithm
Tongguang Wang · Jisuan lixue xuebao · 2009
A fully implicit unfactored algorithm of three-dimensional N-S equations is developed and tested on multi-block curvilinear meshes.The convective terms are discretized using Roe scheme;the viscous terms are discretized using a center scheme.The large-scale sparse linear system arising from each implicit time step is solved by GMRES method combined with the block incomplete lower-upper preconditioner.In order to reduce memory requirements and matrix-vector operation counts,an approximate method for the derivation of Jacobian matrix is applied in the present work,which counts to a half of the values using the exact Jacobian matrix.Comparison of numerical results is made with experimental data and good agreement between them is achieved,demonstrating that the implicit algorithm presented in the paper is effective and efficient.