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A sliding characteristic interface condition for direct numerical simulations

A sliding characteristic interface condition for direct numerical simulations
A sliding characteristic interface condition for direct numerical simulations
A characteristic interface condition serves as the basis for a novel sliding grid method, with a view to solving the compressible Navier-Stokes equations on block-structured grids that are delimited by boundary conditions in motion relative to each other. This requires that the convective and source terms of the equations in characteristic form be transformed to the reference frame of the neighbouring block, and interpolated. The method facilitates accurate interpolation at the interface, because the characteristic interface condition requires only a single layer of halo nodes. When a homogeneous direction is present, only 1-D interpolation is required, and schemes that might otherwise be too costly become affordable. The treatment also enjoys the same advantages as fixed characteristic interfaces do in relation to tolerance of grid discontinuities at block interfaces. The implementation and parallelisation of this method in a simulation code is described, and accuracy and performance demonstrated on a selection of test cases.
compressible navier-stokes equations, characteristic interface conditions, sliding grids, parallel computing
0045-7930
1-39
Johnstone, R.
8ac02aa2-776b-4f80-b44d-1a5cf8682f21
Chen, Li-Wei
d2790af0-6c12-4684-94d2-64c2c0598fcb
Sandberg, R.D.
41d03f60-5d12-4f2d-a40a-8ff89ef01cfa
Johnstone, R.
8ac02aa2-776b-4f80-b44d-1a5cf8682f21
Chen, Li-Wei
d2790af0-6c12-4684-94d2-64c2c0598fcb
Sandberg, R.D.
41d03f60-5d12-4f2d-a40a-8ff89ef01cfa

Johnstone, R., Chen, Li-Wei and Sandberg, R.D. (2014) A sliding characteristic interface condition for direct numerical simulations. Computers & Fluids, 1-39. (doi:10.1016/j.compfluid.2014.10.006).

Record type: Article

Abstract

A characteristic interface condition serves as the basis for a novel sliding grid method, with a view to solving the compressible Navier-Stokes equations on block-structured grids that are delimited by boundary conditions in motion relative to each other. This requires that the convective and source terms of the equations in characteristic form be transformed to the reference frame of the neighbouring block, and interpolated. The method facilitates accurate interpolation at the interface, because the characteristic interface condition requires only a single layer of halo nodes. When a homogeneous direction is present, only 1-D interpolation is required, and schemes that might otherwise be too costly become affordable. The treatment also enjoys the same advantages as fixed characteristic interfaces do in relation to tolerance of grid discontinuities at block interfaces. The implementation and parallelisation of this method in a simulation code is described, and accuracy and performance demonstrated on a selection of test cases.

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Published date: 22 October 2014
Keywords: compressible navier-stokes equations, characteristic interface conditions, sliding grids, parallel computing
Organisations: Aerodynamics & Flight Mechanics Group

Identifiers

Local EPrints ID: 370720
URI: http://eprints.soton.ac.uk/id/eprint/370720
ISSN: 0045-7930
PURE UUID: 15b13d33-76f5-4bd6-aeee-3990601f5492
ORCID for R.D. Sandberg: ORCID iD orcid.org/0000-0001-5199-3944

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Date deposited: 05 Nov 2014 11:22
Last modified: 14 Mar 2024 18:21

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Contributors

Author: R. Johnstone
Author: Li-Wei Chen
Author: R.D. Sandberg ORCID iD

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