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Abstracts - KTH Mechanics

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Prediction of wall bounded flows using LES, DES and RANS<br />

T. Persson a, M. Liefvendahl b, R.E. Bensow a and C. Fureby a,b<br />

In the marine industry Computational Fluid Dynamics (CFD) is an important tool<br />

for resistance prediction and hull optimization, while methods for the simulation of<br />

propulsion, manoeuvring and cavitation are under development. These applications<br />

result in complicated unsteady flow fields and the codes used to solve these problems<br />

are often based on the Reynolds Average Navier-Stokes (RANS) equations 1. Although<br />

RANS correctly models the mean flow in many cases, it often fails when facing more<br />

complex flows, or when applied to flows dominated by unsteady effects. Therefore it<br />

is important to investigate alternatives to RANS. The main candidates are Detached<br />

Eddy Simulation (DES) 2, and Large Eddy Simulation (LES) 3. Both DES and LES are<br />

based on the idea of separating scales, splitting the flow into two regimes by which all<br />

scales larger than the grid are resolved using a space/time accurate algorithm, and only<br />

the effects of the subgrid scales on the large scales are modeled. The objective of this<br />

paper is to provide a systematic comparative study of DES, LES and RANS for three<br />

selected cases of particular interest. The first case consists of the fully developed turbulent<br />

channel flow at the friction velocity based Reynolds number (Re) of Re=395,<br />

595, 1800 and 10,000, respectively. The second test case consists of the flow over a<br />

surface mounted axisymmetric hill at Re=130,000 4. The final test case of interest to<br />

this study consists of the flow past an axisymmetric hull with an elliptic forebody and<br />

a smoothly tapered stern – the DARPA Suboff model AFF-1 5. The computational<br />

results, in particularly for the axisymmetric hill, show that the LES and DES models<br />

give better agreement, with the experiments for the time-averaged data, than RANS.<br />

a<br />

Chalmers, Shipping and Marine Technology, SE-412 96 Göteborg, Sweden.<br />

b<br />

FOI, Div. of Weapons & Protection, Warheads & Propulsion, SE-147 25 Tumba, Sweden.<br />

1 Wilcox, D.C. (1993) DCW Industries<br />

2 Spalart P.R. et al. (1997) 1st AFSOR Int. Conf. On DNS/LES, Greyden Press, Columbus Oh.<br />

3 Sagaut P. (2001) Springer Verlag.<br />

4 Simpson R.L., Long C.H. & Byun G. (2002) Int. J. Heat & Fluid Flow, 23, p 582.<br />

5 Huang T.T., Liu H-L., Groves N.C., Forlini T.J., Blanton J. & Gowing S. (1992) Proc. 19th Symp.<br />

on Naval Hydrodynamics, Seoul, Korea.<br />

(a) (b)<br />

Figure 1: (a) Cross-stream velocity profiles in the wake of the axisymmetric hill and (b)<br />

stream-wise velocity components in the DARPA Suboff AFF-1 case.<br />

19

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