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Computing Flow on General Two-Dimensional Nonsmooth Staggered Grids (1998)

Wesseling, P. ; Segal, A. ; Kassels, C.G.M. ; [et al.]

Springer

Journal of engineering mathematics 34 (1998), S. 21-44

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ISSN: 1573-2703

Keywords: Navier-Stokes ; finite volume discretization ; staggered grids ; boundary-fitted coordinates.

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Technology

Notes: Abstract The classical staggered scheme for the incompressible Navier-Stokes equations is generalized from Cartesian grids to general boundary-fitted structured grids. The resulting discretization is coordinate-invariant. The unknowns are the pressure and the contravariant volume flux components. The grid can be strongly nonuniform and nonorthogonal. The smoothness properties of the coordinate mapping are carefully taken into account. As a result, the accuracy on rough grids is found to be at least as good as for typical finite element and nonstaggered finite volume schemes. Extension to compressible flows results in a scheme with Mach-uniform accuracy and efficiency for Mach numbers ranging from M = 0 to M 〉 1. Accurate discretization of two-equation turbulence models is also possible.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1004341115180

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Finite volume computation of incompressible turbulent flows in general co-ordinates on staggered grids (1995)

Zijlema, M. ; Segal, A. ; Wesseling, P.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 20 (1995), S. 621-640

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ISSN: 0271-2091

Keywords: finite volume ; curvilinear co-ordinates ; staggered grid ; turbulent recirculating flow ; 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: A brief review of the computation of incompressible turbulent flow in complex geometries is given. A 2D finite volume method for the calculation of turbulent flow in general curvilinear co-ordinates is described. This method is based on a staggered grid arrangement and the contravariant flux componets are chosen as primitive variables. Turbulence is modelled either by the standard k-ε model or by a k-ε model based on RNG theory. Convection is approximated with central differences for the mean flow quantities and a TVD-type MUSCL scheme for the turbulence equations. The sensitivity of the method to the grid properties is investigated. An application of this method to a complex turbulent flow is presented. The results of computations are compared with experimental data and other numerical solutions and are found to be satisfactory.

Additional Material: 23 Ill.