Semi-lagrangian integration schemes for viscous incompressible flows

Mohammed Seaïd
2002 Computational Methods in Applied Mathematics  
A new second-order accurate scheme for the computation of unsteady viscous incompressible flows is proposed. The scheme is based on the vorticity-stream function formulation along the characteristics and consists of combining the modified method of characteristics with an explicit scheme with an extended real stability interval. A comparison of the new method with the semi-Lagrangian Cranck-Nicolson and classical semi-Lagrangian Runge-Kutta schemes is presented. Numerical results are carried
more » ... ults are carried out on Navier-Stokes equations and this efficient second-order scheme has also made it possible to compute the driven cavity ow at a high Reynolds number on a refined grid at a reasonable cost. The procedure can be generalized to more than two dimensions.
doi:10.2478/cmam-2002-0022 fatcat:tswnajtkcrbjdcb66cil4vjmx4