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On the formulation of the dynamic mixed subgrid-scale model (1994)

Vreman, Bert ; Geurts, Bernard ; Kuerten, Hans

[S.l.] : American Institute of Physics (AIP)

Physics of Fluids 6 (1994), S. 4057-4059

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ISSN: 1089-7666

Source: AIP Digital Archive

Topics: Physics

Notes: The dynamic mixed subgrid-scale model of Zang et al. [Phys. Fluids A 5, 3186 (1993)] (DMM1) is modified with respect to the incorporation of the similarity model in order to remove a mathematical inconsistency. Compared to DMM1, the magnitude of the dynamic model coefficient of the modified model (DMM2) is increased considerably, while it is still significantly smaller than as occurs in the dynamic subgrid-scale eddy-viscosity model of Germano [J. Fluid Mech. 238, 325 (1992)] (DSM). Large eddy simulations (LES) for the weakly compressible mixing layer are conducted using these three models and results are compared with direct numerical simulation (DNS) data. LES based on DMM1 gives a significant improvement over LES using DSM, while even better agreement is achieved with DMM2. © 1994 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.868333

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Discretization error dominance over subgrid terms in large eddy simulation of compressible shear layers in 2D (1994)

Vreman, Bert ; Geurts, Bernard ; Kuerten, Hans

Chichester : Wiley-Blackwell

Communications in Numerical Methods in Engineering 10 (1994), S. 785-790

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ISSN: 1069-8299

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: Second- and fourth-order-accurate spatial discretization methods give rise to discretization errors which are large than the corresponding subgrid terms in large eddy simulation of compressible shear layers in 2D, if the ratio between the filter width and the grid spacing is close to one. Even if an exact representation for the subgrid-scale contributions is assumed, large eddy simulation is accurate only if this ratio is sufficiently larger than one. In that regime fourth-order methods are more accurate than second-order methods. An analysis of the data obtained from two-dimensional direct numerical simulations of compressible shear layers substantiates these assertions.

Additional Material: 3 Ill.