Implicit time‒accurate solutions on unstructured dynamic grids

In this paper an unstructured multigrid algorithm is used as an iterative solution procedure for the discrete equations arising from an implicit time discretization of the unsteady Euler equations on tetrahedral grids. To calculate unsteady flows due to oscillating boundaries, a novel grid movement...

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Bibliographic Details
Published in:International journal for numerical methods in fluids Vol. 25; no. 11; pp. 1285 - 1300
Main Authors: Crumpton, P. I., Giles, M. B.
Format: Journal Article
Language:English
Published: Sussex John Wiley & Sons, Ltd 15.12.1997
Wiley
Subjects:
Aerodynamics
Applied fluid mechanics
Computational methods in fluid dynamics
Euler
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
multigrid
Physics
unsteady
Wing
Airplane
Computational fluid dynamics
Multigrid
Digital simulation
Parallel processing
Aerodynamics
Unsteady flow
Euler equations
Parallel algorithms
Aircraft
Mesh generation
ISSN:0271-2091, 1097-0363
Online Access:Get full text
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Summary:In this paper an unstructured multigrid algorithm is used as an iterative solution procedure for the discrete equations arising from an implicit time discretization of the unsteady Euler equations on tetrahedral grids. To calculate unsteady flows due to oscillating boundaries, a novel grid movement algorithm is introduced in which an elliptic equation with a non‒linear diffusion coefficient is used to define the displacement of interior grid nodes. This allows large grid displacements to be calculated in a single step. The multigrid technique uses an edge‒collapsing algorithm to generate a sequence of grids, and a pseudo‒time‒stepping smoother. On the coarser grids, no grid motion is used. Instead, surface normals are rotated consistently and transfer/interpolation weights are based on the time‒averaged grid co‒ordinates. A 2D NACA0012 test case is used to validate the programme. 3D results are presented for the M6 wing and a full aircraft configuration. © 1997 John Wiley & Sons, Ltd.
Bibliography:istex:35651E12F44D124F8DE38B08A81C21F0D010C253
DTI
ark:/67375/WNG-RQPXFMXG-M
Rolls-Royce plc
ArticleID:FLD607
SERC
ISSN:0271-2091
1097-0363
DOI:10.1002/(SICI)1097-0363(19971215)25:11<1285::AID-FLD607>3.0.CO;2-M