Article ID Journal Published Year Pages File Type
6929228 Journal of Computational Physics 2018 42 Pages PDF
Abstract
In particular, the new contributions fall into three categories associated with: energy conservation and entropy production, reconstruction and bounds preservation of scalar and tensor fields, and conservative remap of nonlinear fields. The paper presents a derivation of the methods, details of implementation, and numerical results for a number of test problems. The methods requires volume integration of polynomial functions in polytopal cells with planar facets, and the requisite expressions are derived for arbitrary order.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
Authors
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