On the numerical accuracy of the prediction of resistance coefficients in ship stern flow calculations |
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Authors: | L Eça M Hoekstra |
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Institution: | (1) Instituto Superior Técnico, TU Lisbon, Av. Rovisco Pais 1, 1049-001 Lisbon, Portugal;(2) Maritime Research Institute Netherlands, Wageningen, The Netherlands |
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Abstract: | This article presents a study on the accuracy of the numerical determination of the friction and pressure resistance coefficients
of ship hulls. The investigation was carried out for the KVLCC2 tanker at model- and full-scale Reynolds numbers. Gravity
waves were neglected, i.e., we adopted the so-called double-model flow. Single-block grids with H–O topology were adopted
for all the calculations. Three eddy viscosity models were employed: the one-equation eddy viscosity and the two-equation
models proposed by Menter and the TNT version of the two-equation k-ω model. Verification exercises were performed in sets of nearly geometrically similar grids with different densities in the
streamwise, normal, and girthwise directions. The friction and pressure resistance coefficients were calculated for different
levels of the iterative error and for computational domains of different size. The results show that on the level of grid
refinement used, it is possible to calculate the viscous resistance coefficients in H–O grids that do not match the ship contour
with a numerical uncertainty of less than 1%. The differences between the predictions of different turbulence models were
larger than the numerical uncertainty; however, these differences tended to decrease with increases in the Reynolds number.
The pressure resistance was remarkably sensitive to domain size and far-field boundary conditions. Either a large domain or
the application of a viscous–inviscid interaction procedure is needed for reliable results.
This work was presented in part at the International Conference on Computational Methods in Marine Engineering—MARINE 2007,
Barcelona, June 3–4, 2007. |
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Keywords: | Resistance coefficients Iterative error Discretization error Domain size |
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