Abstract:

A high order accurate computational method based on a time derivative preconditioning algorithm is developed in order to calculate inviscid and viscous flows at various Mach numbers by using the implicit time marching method. The equations are discretized using a high order accurate AUSMPW scheme. The present algorithm is extended to the multidimensional curvilinear coordinates systems, and it is applied to numerical solution of the compressible Euler and Navier Stokes equations. Computational capabilities are demonstrated through computation of a wide variety of problems. Comparison of calculation with available numerical and experimental data in literature shows that the algorithm is accurate, self adaptive and stable for a wide range of flow conditions from inviscid to viscous flows and from low speed to supersonic flows.

Key words: computat ional fluid dynam ics, imp licit t ime march ing method, p recondit ioning algo rithm, h igh2o rder2accuracy, curvilinear coo rdinate system s