High-order, finite-volume methods in mapped coordinates

DOI10.1016/j.jcp.2010.12.044zbMath1218.65119OpenAlexW1980669062WikidataQ110316228 ScholiaQ110316228MaRDI QIDQ543718

Milo R. Dorr, Daniel F. Martin, Phillip Colella, Jeffrey A. F. Hittinger

Publication date: 17 June 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/1221190

zbMATH Keywords

linear elliptic equation numerical examples quadrature rules linear hyperbolic equation Runge-Kutta time discretization mapped grids finite-volume method high-order discretization

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) First-order hyperbolic systems (35L40) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

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Uses Software

Chombo

Cites Work