Method SMIF for incompressible fluid flows modeling

Abstract

For solving of the Navier-Stokes equations describing 3D incompressible viscous fluid flows the Splitting on physical factors Method for Incompressible Fluid flows (SMIF) with hybrid explicit finite difference scheme (second-order accuracy in space, minimum scheme viscosity and dispersion, capable for work in the wide range of Reynolds (Re) and internal Froude (Fr) numbers and monotonous) based on the Modified Central Difference Scheme and the Modified Upwind Difference Scheme with a special switch condition depending on the velocity sign and the signs of the first and second differences of the transferred functions has been developed and successfully applied. At the present paper the description of the numerical method SMIF and it's application for simulation of the 3D separated homogeneous and density stratified fluid flows around a sphere are demonstrated. © 2013 Springer-Verlag.