COVOLUME-DUAL VARIABLE METHOD FOR THERMALLY EXPANDABLE FLOW ON UNSTRUCTURED TRIANGULAR GRIDS

SUMMARY Finite difference like discretizations are developed for the time dependent Navier-Stokes equations and the thermal energy equation. The flow is assumed to be thermally expandable, that is, the density varies only with temperature. A new pointwise first order upwind scheme for convection is presented which is of nonnegative type. Also presented are new approaches to reconstructing the velocity vector field from the covolume primitive variables. The resulting difference equations reproduce linear flow fields.

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