Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids
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Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian gridsData
2020Centro/Dpto/Entidade
Grupos de investigación-Grupo de Métodos Numéricos na EnxeñeríaCita bibliográfica
Fernández-Fidalgo, J., Clain, S., Ramírez, L., Colominas, I., & Nogueira, X. (2020). Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids. Computer Methods in Applied Mechanics and Engineering, 360, 112782. https://doi.org/10.1016/j.cma.2019.112782
Resumo
[Abstract:] A new very high-order technique for solving conservation laws with curved boundary domains is proposed. A Finite Difference scheme on Cartesian grids is coupled with an original ghost cell method that provide accurate approximations for smooth solutions. The technology is based on a specific least square method with restrictions that enables to handle general Robin conditions. Several examples in two-dimensional geometries are presented for the unsteady Convection–Diffusion equation and the Euler equations. A fifth-order WENO scheme is employed with matching fifth-order reconstruction at the boundaries. Arbitrary high-order reconstruction for smooth flows is achievable independently of the underlying differential equation since the method works as a black-box dedicated to boundary condition treatment.
Palabras chave
High-order schemes
Compressible flows
Cartesian grids
Finite difference
Embedded boundary
ROD
Compressible flows
Cartesian grids
Finite difference
Embedded boundary
ROD
Descrición
Versión aceptada de https://doi.org/10.1016/j.cma.2019.112782
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Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND)