Rusty Holleman, Oliver Fringer and Mark Stacey Numerical diffusion for flow-aligned unstructured grids with application to estuarine modeling International Journal for Numerical Methods in Fluids 72
Unstructured grids in hydrodynamic simulations offer great flexibility but exhibit numerical diffusion, which is dependent on orientation of the cells relative to the flow. Analytical descriptions of this relationship are found for a finite-volume scheme implementing scalar transport on regular triangular grids. An unsupervised method for generating grids locally aligned with the dominant flow is presented and shown to significantly decrease across-flow grid diffusion.
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