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We discuss Coarse Grid Projection (CGP) methodology as a guide for partialmesh refinement of incompressible flow computations for the first time. Basedon it, if for a given spatial resolution the numerical simulation diverges orthe velocity outputs are not accurate enough, instead of refining both theadvection-diffusion and the Poisson grids, the CGP mesh refinement suggests toonly refine the advection-diffusion grid and keep the Poisson grid resolutionunchanged. The application of the novel mesh refinement tool is shown in thecases of flow over a backward-facing step and flow past a cylinder. For thebackward facing step flow, a three-level partial mesh refinement makes apreviously diverging computation numerically stable. For the flow past acylinder, the error of the viscous lift force is reduced from 31.501% to 7.191%(with reference to the standard mesh refinement results) by the one-levelpartial mesh refinement technique.

Coarse grid projection methodology: A partial mesh refinement tool for incompressible flow simulations