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A 2D Navier-Stokes method for unsteady compressible flow calculations on moving meshes

Published online by Cambridge University Press:  04 July 2016

A. L. Gaitonde ,
D. P. Jones  and
S. P. Fiddes
A. L. Gaitonde
Affiliation:
Department of Aerospace EngineeringUniversity of Bristol Bristol, UK
D. P. Jones
Affiliation:
Department of Aerospace EngineeringUniversity of Bristol Bristol, UK
S. P. Fiddes
Affiliation:
Department of Aerospace EngineeringUniversity of Bristol Bristol, UK
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Abstract

A moving mesh method for the computation of compressible viscous flow past deforming and moving aerofoils is described. It is based on a well established time-marching finite-volume scheme, which has been widely used for steady compressible flows. An implicit real-time discretisation is used and the equations are integrated via a dual-time scheme. This involves the introduction of derivatives of a fictitious pseudo time. The solution at each real-time step involves seeking solutions which are steady-state solutions in pseudo time. This approach decouples the stability and accuracy limitations of the scheme and permits large real-time steps to be chosen. Also well-proven convergence acceleration techniques developed for steady flows such as local-time stepping, residual averaging and multigrid may be used in the pseudo-time stepping scheme without compromising real-time accuracy. A sequence of body-conforming grids and corresponding grid speeds is required, where the inner and outer boundaries of the grid move independently. The required grids and speeds are found using a transfinite interpolation technique. Applications of the method to external compressible flows are shown, including results from a parallel version of the computer program.

Type
Research Article
Information
The Aeronautical Journal , Volume 102 , Issue 1012 , February 1998 , pp. 89 - 97
Copyright
Copyright © Royal Aeronautical Society 1998 

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