Patel, M.K., Pericleous, K.A. ORCID: https://orcid.org/0000-0002-7426-9999 and Baldwin, S. (1995) The development of a structured mesh grid adaption technique for resolving shock discontinuities in upwind Navier-Stokes codes. International Journal for Numerical Methods in Fluids, 20 (10). pp. 1179-1197. ISSN 0271-2091 (Print), 1097-0363 (Online) (doi:10.1002/fld.1650201006)

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Abstract

A technique is described for the adaptation of a structured control volume mesh during the iterative solution process of the Navier-Stokes equations. The scalar equidistribution method is adopted, in conjunction with a Laplace-like grid solver to make a curvilinear body-fitted grid sensitive to local flow gradients. Hence, whilst the total number of grid nodes remains constant during a computation, their relative position is continuously adjusted to promote clustering of cells in regions where gradients are high. The focus of this work is in compressible aerodynamics, where such clustering would be desirable in regions containing shocks but also in boundary layers. The technique is three-dimensional and operates in a series of user-defined grid subdomains or patches. These patches act as reference frames within which grid activity takes place. Bi-cubic splines are extensively used to define the aerodynamic surfaces forming the calculation boundaries and to ensure that grid movement does not compromise surface integrity. The technique is applied to aerofoils, wing surfaces, transonic ducts and nozzles and a supersonic wedge cascade. Significant sharpening of both normal and oblique shock discontinuities is demonstrated over static grid simulations and with fewer overall grid nodes. The technique is successful in both inviscid and viscous (turbulent) simulations.

Item Type:	Article
Additional Information:	[1] Article first published online: 6 July 2005. [2] First published in print: 30 May 1995.
Uncontrolled Keywords:	compressible aerodynamics, shock capture, CFD, adaptive grids, equidistribution, compressible viscous aerodynamics, CFD modelling
Subjects:	Q Science > QA Mathematics > QA76 Computer software Q Science > QC Physics
Pre-2014 Departments:	School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group
Related URLs:	Publisher Publisher Organisation
Last Modified:	02 Mar 2019 15:52
URI:	http://gala.gre.ac.uk/id/eprint/5956

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