Characteristic interface conditions for multi-block high-order computation on singular structured grid
Characteristic interface conditions for multi-block high-order computation on singular structured grid
A structured grid with a body usually has a certain point where an abrupt change in the slope of grid line exists. The grid metrics are discontinuous at the point because of the discrepancy between the left- and the right-hand limits of the gradients, which leads to grid singularity. It may cause serious numerical oscillations especially when high-order finite difference schemes are applied to solving conservation-form governing equations in generalized coordinates. In this paper, it is handled by decomposing a computational domain into blocks along the singular lines and imposing interface conditions at the block interfaces for communication between the blocks. A set of high-order finite difference schemes is used in each block: central differences on the interior nodes and one-sided differences on the near-interface nodes. The differencing stencils do not cross the block interfaces and each block is isolated without the singularity,
which results in no oscillations. For the communication between the isolated blocks, the interface conditions are newly derived from the characteristic relations of the compressible Euler or Navier-Stokes equations. The exactness and the feasibility of the interface conditions are investigated for the high-order multi-block computation on structured grid containing singular points.
2341-2348
Kim, J.W.
fedabfc6-312c-40fd-b0c1-7b4a3ca80987
Lee, D.J.
07e9aeba-8cdd-4476-bd03-b936bc2ca8c1
1 December 2003
Kim, J.W.
fedabfc6-312c-40fd-b0c1-7b4a3ca80987
Lee, D.J.
07e9aeba-8cdd-4476-bd03-b936bc2ca8c1
Kim, J.W. and Lee, D.J.
(2003)
Characteristic interface conditions for multi-block high-order computation on singular structured grid.
AIAA Journal, 41 (12), .
Abstract
A structured grid with a body usually has a certain point where an abrupt change in the slope of grid line exists. The grid metrics are discontinuous at the point because of the discrepancy between the left- and the right-hand limits of the gradients, which leads to grid singularity. It may cause serious numerical oscillations especially when high-order finite difference schemes are applied to solving conservation-form governing equations in generalized coordinates. In this paper, it is handled by decomposing a computational domain into blocks along the singular lines and imposing interface conditions at the block interfaces for communication between the blocks. A set of high-order finite difference schemes is used in each block: central differences on the interior nodes and one-sided differences on the near-interface nodes. The differencing stencils do not cross the block interfaces and each block is isolated without the singularity,
which results in no oscillations. For the communication between the isolated blocks, the interface conditions are newly derived from the characteristic relations of the compressible Euler or Navier-Stokes equations. The exactness and the feasibility of the interface conditions are investigated for the high-order multi-block computation on structured grid containing singular points.
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Submitted date: 24 February 2003
Published date: 1 December 2003
Organisations:
Aerodynamics & Flight Mechanics
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Local EPrints ID: 23048
URI: http://eprints.soton.ac.uk/id/eprint/23048
ISSN: 0001-1452
PURE UUID: 3e289e0f-dd6e-4463-8026-d4e896890b37
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Date deposited: 24 Mar 2006
Last modified: 16 Mar 2024 03:42
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Author:
D.J. Lee
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