Time-accurate Navier-Stokes calculations with multigrid acceleration

摘要: A numerical scheme to solve the unsteady Navier-Stokes equations is described. The implemented by modifying multigrid-multiblock version of steady solver, TLNS3D. fully implicit in time and uses TLNS3D iteratively invert at each physical step. design objective unconditional stability (at least for first- second-order discretizations derivatives). With stability, choice step based on phenomena be resolved rather than limited which especially important high Reynolds number viscous flows, where spatial variation grid cell size can as much six orders magnitude. An analysis iterative procedure implementation this are discussed. Numerical results presented show both capabilities its speed up relative use global minimum stepping. Reductions computational times an order magnitude demonstrated.