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Energy stable and accurate coupling of finite element methods and finite difference methods

Guardado en:
Publicado en:arXiv.org (Apr 7, 2021), p. n/a
Autor principal: Dao, Tuan Anh
Otros Autores: Mattsson, Ken, Nazarov, Murtazo
Publicado:
Cornell University Library, arXiv.org
Materias:
Finite element method
Mathematical analysis
Galerkin method
Finite difference method
Conservation laws
Coupling
Acceso en línea:Citation/Abstract
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Resumen:We introduce a hybrid method to couple continuous Galerkin finite element methods and high-order finite difference methods in a nonconforming multiblock fashion. The aim is to optimize computational efficiency when complex geometries are present. The proposed coupling technique requires minimal changes in the existing schemes while maintaining strict stability, accuracy, and energy conservation. Results are demonstrated on linear and nonlinear scalar conservation laws in two spatial dimensions.
ISSN:2331-8422
DOI:10.1016/j.jcp.2021.110791
Fuente:Engineering Database