High-accuracy upwind method using improved characteristics speeds for incompressible flows

作者：Abdollahi Iman; Zamzamian Kamiar^*; Fathollahi Reza

来源：International Journal for Numerical Methods in Fluids, 2016, 80(8): 476-489.

DOI：10.1002/fld.4088

• incompressible flow
• artificial compressibility
• Navier-Stokes equations
• CB method
• characteristics speed
• HACB method

In this study, the Nervier-Stokes equations for incompressible flows, modified by the artificial compressibility method, are investigated numerically. To calculate the convective fluxes, a new high-accuracy characteristics-based (HACB) scheme is presented in this paper. Comparing the HACB scheme with the original characteristic-based method, it is found that the new proposed scheme is more accurate and has faster convergence rate than the older one. The second order averaging scheme is used for estimating the viscose fluxes, and spatially discretized equations are integrated in time by an explicit fourth-order Runge-Kutta scheme. The lid driven cavity flow and flow in channel with a backward facing step have been used as benchmark problems. It is shown that the obtained results using HACB scheme are in good agreement with the standard solutions.

• 出版日期2016-3-20