Abstract

AbstractAn investigation has been conducted to study the performance of a coupled solution approach for solving the fluid flow equations in body‐fitted co‐ordinates using a covariant velocity formulation. The set of discrete equations is solved using a sparse matrix variant of LU decomposition. A series of test problems have been considered to study the effects of Reynolds number, mesh skewness and grid size on the convergence rate. The coupled solution approach has been compared with a state‐of‐the‐art sequential approach. The results indicate that the coupled technique is faster by a factor of about two for reasonable grids. For severely non‐orthogonal grids the performance of the coupled solution approach deteriorates considerably.

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