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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of engineering mathematics 18 (1984), S. 219-233 
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary We review the governing equations of fluid dynamics in general co-ordinates, and present forms particularly suitable for efficient numerical solution. Methods are given, both for compressible and incompressible flow, of eliminating explicit use of the connection coefficients and transformation matrix elements from the computations. Special problems associated with spacially varying viscosity and with eddy-viscosity turbulence models are also discussed.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 7 (1987), S. 277-289 
    ISSN: 0271-2091
    Keywords: Large eddie simulation ; Spectral methods ; Computer simulation of flows ; Distorted geometries ; Coordinate transformation ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Turbulence is essentially four-dimensional in character, and requires the corresponding treatment of the well-known Navier-Stokes equations. However, this has only been possible over the past twenty years and then by using the largest computers available. Interest is now turning from the initial, mainly smooth channel, simulations to geometries of eventual engineering significance. This paper reports a new code using the spectral methods of Orszag, but also incorporating a novel generalized co-ordinate transformation approach.Initial predictions for smooth channels agree well with published data. For distorted geometries, the initial velocity field has considerable influence on the success of the simulations. This is accommodated by gradual (step) changes towards the required distortion, so that the initial velocity field for the ‘new’ geometry is the final field from the previous step. Examples are given of different two-dimensional channel geometries achieved, and these include the successful prediction of recirculating flows.
    Additional Material: 13 Ill.
    Type of Medium: Electronic Resource
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