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DOE OSTI · 2497840

CurvilinearGrids.jl: A Julia package for curvilinear coordinate transformations

Miller, Samuel C. [University of Rochester, NY (United States)] (ORCID:0000000164522308)
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Abstract

Finite-difference discretizations of partial differential equations are widespread throughout the scientific community. Oftentimes finite-differences are used to compute spatial gradients of fields on a discrete grid, which is typically a uniform or rectilinear Cartesian mesh. Arbitrary multidimensional geometry is difficult to discretize directly with finite differences, however, due to non-uniform grid spacing and non-orthogonality. Curvilinear coordinate transformations can be used as a strategy to enable arbitrary geometry. While these curvilinear transformations are straightforward, the governing PDEs require additional terms (metrics) and must adhere to strict conservation laws; these criteria complicate the application of the transformation and require careful implementation.

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BibTeXRIS

Miller, Samuel C. [University of Rochester, NY (United States)] (ORCID:0000000164522308). 2024-12-17. CurvilinearGrids.jl: A Julia package for curvilinear coordinate transformations. https://doi.org/10.21105/joss.07508

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