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- W4317597175 abstract "We present in this paper our approach to expand the venerable Von Neumann analysis technique to nonuniform grids in one and two dimensions. This is a con- tinuation, and generalization, of our previous work on triangular grids, both struc- tured and semi-unstructured. The grid’s un-structuredness is introduced into a block of few grid cells, then this block is replicating over the whole computational domain. Resultant grids are essentially non-uniform or semi-unstructured at cell- to-cell level, but still retain a much-needed regularity at block level. We show the viability of this approach by analyzing the scalar linear diffusion equation on grids with varying degrees of non-uniformity. Our observations are then verified via numerical experiments on the same governing equation." @default.
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- W4317597175 date "2023-01-19" @default.
- W4317597175 modified "2023-09-27" @default.
- W4317597175 title "Von Neumann Analyses of Recovery-based Discontinuous Galerkin on Semi-Unstructured Meshes" @default.
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- W4317597175 doi "https://doi.org/10.2514/6.2023-1400" @default.
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