Computational aspects of the splitting method for incompressible flow with a free surface

On the performance of high resolution non-oscillating advection schemes in the context of the flow generated by a mixed region in a stratified fluid

“…The splitting scheme is similar to the famous SMAC method of Amsden and Harlow [1], and to one of the approaches suggested in Fortin et al [8]. It was shown that this hybrid scheme comes nearest to the third order schemes (Gushchin and Konshin [11]). …”

“…SMIF method. The first adaptive stencil method used in this work is the hybrid monotonic difference scheme developed in Gushchin et al [11,12], and Belotserkovskii [3] for the numerical simulation of fluid flows with large gradients of hydrodynamic parameters. The splitting on physical factors method for incompressible fluid flows (SMIF) is based on a combination of the modified central difference scheme MCDS and the modified upwind difference scheme MUDS with special switch condition.…”

3D Visualization of the separated fluid flows

“…For this direct numerical simulation the Splitting on physical factors Method for Incompressible Fluid flows (SMIF) with hybrid explicit finite difference scheme (second order of accuracy in space, minimum scheme viscosity and dispersion, capable for work in wide range of Reynolds numbers and monotonous) based on Modified Central Difference Scheme (MCDS) and Modified Upwind Difference Scheme (MUDS) with special switch condition depending on velocity sign and sign of the first and the second differences of transferred functions was developed and successfully applied (Gushchin and Konshin, 1992), (Gushchin and Matyushin, 1997). Some applications of SMIF for solving of different problems are described in (Belotserkovskii, 1997).…”

Mathematical modling of the 3D separated viscous fluid flows

“…In order to understand the finite-difference scheme for the convective terms of the equations (1)-(3) let us consider the linear model equation: be a finite-difference approximation of equation (4).…”

“…For solving of the Navier-Stokes equations (1)-(3) the Splitting on physical factors Method for Incompressible Fluid flows (SMIF) has been used [3][4].…”