Multidimensional characteristic-based solid boundary condition for incompressible flow calculations

Abstract

a b s t r a c tUsing the artificial compressibility (AC) approach for incompressible flows, the NavierStokes equations are coupled together to obtain solutions for steady flows, where marching in time methods are applicable. In this study, we present a new method that employs the multidimensional characteristics of AC equations to calculate the solid boundary conditions. The first multidimensional characteristic-based scheme (MCB) for incompressible flows was proposed in a previous study. In the present study, this idea is implemented by using the characteristic structure of AC equations near solid walls together with a ghost cell method to satisfy the solid boundary conditions. We test the new proposed method with two well-known benchmark problems, where the results show that the accuracy and convergence speed of the MCB scheme is improved in many cases.

A generalised and low-dissipative multi-directional characteristics-based scheme with inclusion of the local Riemann problem investigating incompressible flows without free-surfaces

“…(32) could be used since it is split into each respective direction). In the literature on the MCB scheme [29,30,31,32,33,34,35,36], a first-and second-order version has been proposed. In the first-order scheme, the characteristic equation, i.e.…”

“…Fathollahi and Zamzamian [31] increased the number of discrete wave directions -necessary to discretise the compatibility equations -showing an increase in the convergence rate while the accuracy was not affected. Hashemi and Zamzamian [32] and Zamzamian and Hashemi [33] introduced modified far-field and solid boundary conditions in conjunction with the CB scheme treatment while in a further modification, Hashemi and Zamzamian [34] extended the multi-directional approach to unstructured domains. Further ap-plications of the MCB applied to heat-transfer and turbulent flows can be found in Razavi and Adibi [35] and Razavi and Hanifi [36].…”

Predicting Non-Linear Flow Phenomena through Different Characteristics-Based Schemes

“…It was extended to handle curve-linear coordinate systems [15] as well as unstructured grids [16]. Improved boundary conditions in combination with the MCB scheme was proposed by Hashemi and Zamzamian [17] for the far-field and Zamzamian and Hashemi [18] for solid boundary conditions. Fathollahi and Zamzamian [19] investigated the influence of the number of compatibility equations used at each node.…”