Remapping Between Meshes with Isoparametric Cells: a Case Study

Mikhail Shashkov; Konstantin Lipnikov

doi:10.1007/s42967-023-00250-4

Communications on Applied Mathematics and Computation ›› 2023, Vol. 6 ›› Issue (3) : 1551 -1574. DOI: 10.1007/s42967-023-00250-4

Original Paper

Remapping Between Meshes with Isoparametric Cells: a Case Study

Mikhail Shashkov ²^,a
, Konstantin Lipnikov ¹

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Abstract

We explore an intersection-based remap method between meshes consisting of isoparametric elements. We present algorithms for the case of serendipity isoparametric elements (QUAD8 elements) and piece-wise constant (cell-centered) discrete fields. We demonstrate convergence properties of this remap method with a few numerical experiments.

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Mikhail Shashkov, Konstantin Lipnikov. Remapping Between Meshes with Isoparametric Cells: a Case Study. Communications on Applied Mathematics and Computation, 2023, 6(3): 1551-1574 DOI:10.1007/s42967-023-00250-4