2022
DOI: 10.1002/fld.5166
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New compact difference schemes on non‐uniform collocated and staggered grids for convection‐dominated flows

Abstract: Summary This paper deals with the formulation of the tridiagonal compact difference schemes for derivatives up to second‐order with boundary stencils on non‐uniform grids. A compact scheme for the first derivative with interpolation is also devised on staggered non‐uniform grids. The developed schemes with non‐uniform spacing transform to respective classical compact schemes for the case of uniform mesh spacing. The resolution, numerical diffusion, and anti‐diffusion features of the devised schemes are evaluat… Show more

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