Simulation results and applications of an advection bounded scheme to practical flows

Abstract

Abstract. This paper reports experiments on the use of a recently introduced advection bounded upwinding scheme, namely TOPUS (Computers & Fluids 57 (2012) 208-224), for flows of practical interest. The numerical results are compared against analytical, numerical and experimental data and show good agreement with them. It is concluded that the TOPUS scheme is a competent, powerful and generic scheme for complex flow phenomena.Mathematical subject classification: Primary: 06B10; Secondary: 06D05.

Numerical simulation of upwinding schemes applied to complex fluid dynamics equations

“…It is important to inform the reader that TOPUS an SDPUS-C1 schemes have already been compared to other upwinding schemes and flux limiters in previous works [14,15,28,29], including test simulations for free-surface and two-phase incompressible flows for the SDPUS-C1. In addition to comparing TOPUS and SDPUS-C1 in the test cases (Sect.…”

Numerical investigations of turbulent free surface flows using topus scheme and realizable reynolds stress algebraic model

“…Concerning investigations of complex free surface flows, considerable progress has currently done in the application of both finite difference method and high order upwinding (see, for example, Ferreira et al [3,4,5]). In particular, the high order boundedness upwind advection scheme, called TOPUS (Third-Order Polynomial Upwind Scheme), by Queiroz et al [13] is applied, in conjunction with the realizable Reynolds stress algebraic equation model proposed by Shih et al [15], in an attempt of simulating incompressible turbulent free surface flows.…”