High-order interpolation between adjacent cartesian finite difference grids of different size

Nested cartesian grid systems by design require interpolation of solution fields from coarser to finer grid systems. While several choices are available, preserving accuracy, stability and efficiency at the same time require careful design of the interpolation schemes. Given this context, a series o...

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Detalles Bibliográficos
Autores principales: Figueroa, Alejandro, Löhner, Rainald
Formato: Objeto de conferencia
Lenguaje:Inglés
Publicado: 2017
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/94994
https://cimec.org.ar/ojs/index.php/mc/article/view/5304
Aporte de:
id I19-R120-10915-94994
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ingeniería
Finite Difference Solvers
Interpolation
2:1 Transition
spellingShingle Ingeniería
Finite Difference Solvers
Interpolation
2:1 Transition
Figueroa, Alejandro
Löhner, Rainald
High-order interpolation between adjacent cartesian finite difference grids of different size
topic_facet Ingeniería
Finite Difference Solvers
Interpolation
2:1 Transition
description Nested cartesian grid systems by design require interpolation of solution fields from coarser to finer grid systems. While several choices are available, preserving accuracy, stability and efficiency at the same time require careful design of the interpolation schemes. Given this context, a series of interpolation algorithms for nested cartesian finite difference grids of different size were developed and tested. These algorithms are based on post-processing, on each local grid, the raw (bi/trilinear) information passed to the halo points from coarser grids. In this way modularity is maximized while preserving locality. The results obtained indicate that the schemes improve markedly the convergence rates and the overall accuracy of finite difference codes with varying grid sizes.
format Objeto de conferencia
Objeto de conferencia
author Figueroa, Alejandro
Löhner, Rainald
author_facet Figueroa, Alejandro
Löhner, Rainald
author_sort Figueroa, Alejandro
title High-order interpolation between adjacent cartesian finite difference grids of different size
title_short High-order interpolation between adjacent cartesian finite difference grids of different size
title_full High-order interpolation between adjacent cartesian finite difference grids of different size
title_fullStr High-order interpolation between adjacent cartesian finite difference grids of different size
title_full_unstemmed High-order interpolation between adjacent cartesian finite difference grids of different size
title_sort high-order interpolation between adjacent cartesian finite difference grids of different size
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/94994
https://cimec.org.ar/ojs/index.php/mc/article/view/5304
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