Abstract
Unstructured finite-volume methods, which are rapidly increasing in popularity, provide a powerful alternative for the seamless handling of fluid dynamics in complex geometry. A vertex-centered, three-dimensional, unstructured finite-volume formulation is presented and applied to a number of standard and nonstandard test cases involving incompressible flow and heat transfer at low Reynolds number. The entire numerical formulation, including the diffusion terms, is derived using a fixed, Cartesian coordinate frame of reference and an edge-based data structure, making the present approach straightforward to follow and implement. The method is found to perform very well for all cases considered.
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