A High Resolution Equi-Gradient scheme for convective flows

Abstract

Numerical performance of CFD codes in convection dominated flows where in diffusion is feeble, rely majorly on the numerical scheme. In such cases, numerical schemes play a very important role in the prediction of flow property, depending upon their order. To overcome this inadequacy, a new numerical scheme is presented which is in context of finite volume method. The proposed scheme possesses high accuracy as it depends on the contribution from far-off neighboring grid points and thus advects better flow property than lower-order schemes. Furthermore, the scheme is formulated based on the symmetric limiter property and minimized downwind effect, which ensures a better convergence than the existing higher-order schemes. The presented scheme is henceforth named as High Resolution Equi-Gradient (HREG) scheme. Pure advection tests are conducted to assess the performance of this scheme with the existing schemes. Results clearly suggest that the HREG scheme advects accurate and symmetric profiles. Further, to assess the convergence behaviour of the proposed scheme, incompressible Newtonian and non-Newtonian fluids are being studied. Results generated strongly depict that the HREG scheme can be used as a substitute over existing schemes for studying highly convective flows. © 2018 Elsevier Inc.