High-order splitting methods for the incompressible Navier-Stokes equations
A new pressure formulation for splitting methods is developed that results in high-order time-accurate schemes for the solution of the incompressible Navier-Stokes equations. In particular, improved pressure boundary conditions of high order in time are introduced that minimize the effect of erroneous numerical boundary layers induced by splitting methods. A new family of stiffly stable schemes is employed in mixed explicit/implicit time-integration rules. These schemes exhibit much broader stability regions as compared to Adams-family schemes, typically used in splitting methods.
scientific article; zbMATH DE number 29006
scientific article