Numerical simulation of 3D unsteady turbulent free surface flows using $$\kappa -\varepsilon$$ κ - ε model and ADBQUICKEST scheme

Abstract

This work deals with the development of a numerical technique to simulate 3D complex turbulent free surface flows. This technique is based on the finite-difference GENSMAC methodology coupled with high Reynolds j À e turbulence model and the ADBQUICKEST upwind scheme to deal with the advective terms. The computations are performed using the 3D version of the Freeflow simulation system, in which the effectiveness of the numerical technique is analyzed for the dambreak flow and a turbulent jet impinging orthogonally onto a flat surface. The numerical results are compared with existing analytical and experimental data. To demonstrate applicability of the Freeflow-3D simulation system for solving complex free surface flows at high Reynolds numbers, a case of the fluid-structure interaction was simulated. Keywords Finite-difference method Á Reynolds average Navier-Stokes equations Á High-order upwind scheme Á Turbulent free surface flow Á Numerical simulation