Abstract

HARMS, T.M.; VON BACKSTROM, T.W.  and  DU PLESSIS, J.P.. Comparison of three finite-volume interpolation schemes. R&D j. (Matieland, Online) [online]. 1997, vol.13, pp.20-30. ISSN 2309-8988.

Some fundamental aspects of the finite-volume numerical flow analysis approach, which are generally assumed to be understood but at times still incorrectly interpreted in the literature, are reiterated. In this context an accuracy comparison between linear, upwind quadratic and locally analytic interface interpolation has been carried out. The formulations adopted were chosen with stability and arbitrary non-orthogonal physical grids in mind. Artificial diffusion damping through flux blending has been provided for. A finite-volume quality norm is proposed as a qualitative measure to evaluate different discretization approaches. Three laminar flow problems are employed as test cases, namely, the concentric shear flow, wall driven flow in a square cavity, and the mixing of two scalar streams. The results indicate that in the light of growing computer power, simple linear second order interpolation in conjunction with the ability to introduce controlled artificial diffusion damping is adequately accurate and likely to dominate finite volume thinking in the current decade.

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