A CHARACTERISTIC‐LIKE METHOD FOR THERMALLY EXPANDABLE FLOW ON UNSTRUCTURED TRIANGULAR GRIDS

Finite-difference-like discretizations are developed for the time-dependent Navier-Stokes equations and the thermal energy equation on Delaunay triangulations of the flow domain. The flow is assumed to be thermally expandable ; that is, the density varies only with temperature. A characteristic-like (CL) method is used to discretize the temporal and convective terms. The dual variable method reduces the size of the discrete system by a factor of five.

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