Analysis of high Reynolds free surface flows

ABSTRACT In this paper, we will combine an upwind radial basis function-finite element with direct velocity–pressure formulation to study the two-dimensional Navier-Stokes equations free surface flows. We examine in improved mixed-order finite and localized function method. A particle tracking method arbitrary Lagrangian-Eulerian scheme then be applied simulate high Reynolds An based on a differential quadrature (LRBFDQ) is used deal number convection dominated This successfully obtained very flows, up Re = 500 000. Finally, demonstrate discuss capability feasibility of proposed model by simulating two complex flow problems: (1) highly nonlinear oscillation (2) large amplitude sloshing problem. Using even coarse grids all computing scenarios, have achieved good results accuracy efficiency.