A hybrid framework for coupling arbitrary summation-by-parts schemes on general meshes

Tomas Lundquist; Arnaud Malan; Jan Nordström

doi:10.1016/j.jcp.2018.02.018

A hybrid framework for coupling arbitrary summation-by-parts schemes on general meshes

Tomas Lundquist, Arnaud Malan, Jan Nordström

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

We develop a general interface procedure to couple both structured and unstructured parts of a hybrid mesh in a non-collocated, multi-block fashion. The target is to gain optimal computational efficiency in fluid dynamics simulations involving complex geometries. While guaranteeing stability, the proposed procedure is optimized for accuracy and requires minimal algorithmic modifications to already existing schemes. Initial numerical investigations confirm considerable efficiency gains compared to non-hybrid calculations of up to an order of magnitude.

Original language	English
Pages (from-to)	49-68
Number of pages	20
Journal	Journal of Computational Physics
Volume	362
DOIs	https://doi.org/10.1016/j.jcp.2018.02.018
Publication status	Published - 1 Jun 2018
Externally published	Yes

Keywords

Finite difference
Finite volume
Hybrid meshes
Numerical interfaces
Stability
Summation-by-parts

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/j.jcp.2018.02.018

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abstract = "We develop a general interface procedure to couple both structured and unstructured parts of a hybrid mesh in a non-collocated, multi-block fashion. The target is to gain optimal computational efficiency in fluid dynamics simulations involving complex geometries. While guaranteeing stability, the proposed procedure is optimized for accuracy and requires minimal algorithmic modifications to already existing schemes. Initial numerical investigations confirm considerable efficiency gains compared to non-hybrid calculations of up to an order of magnitude.",

keywords = "Finite difference, Finite volume, Hybrid meshes, Numerical interfaces, Stability, Summation-by-parts",

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AU - Lundquist, Tomas

AU - Malan, Arnaud

AU - Nordström, Jan

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N2 - We develop a general interface procedure to couple both structured and unstructured parts of a hybrid mesh in a non-collocated, multi-block fashion. The target is to gain optimal computational efficiency in fluid dynamics simulations involving complex geometries. While guaranteeing stability, the proposed procedure is optimized for accuracy and requires minimal algorithmic modifications to already existing schemes. Initial numerical investigations confirm considerable efficiency gains compared to non-hybrid calculations of up to an order of magnitude.

AB - We develop a general interface procedure to couple both structured and unstructured parts of a hybrid mesh in a non-collocated, multi-block fashion. The target is to gain optimal computational efficiency in fluid dynamics simulations involving complex geometries. While guaranteeing stability, the proposed procedure is optimized for accuracy and requires minimal algorithmic modifications to already existing schemes. Initial numerical investigations confirm considerable efficiency gains compared to non-hybrid calculations of up to an order of magnitude.

KW - Finite difference

KW - Finite volume

KW - Hybrid meshes

KW - Numerical interfaces

KW - Stability

KW - Summation-by-parts

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EP - 68

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

A hybrid framework for coupling arbitrary summation-by-parts schemes on general meshes

Abstract

Keywords

ASJC Scopus subject areas

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