Model-and Full-Scale URANS Simulations of Athena Resistance, Powering, Seakeeping, and 5415 Maneuvering

This study demonstrates the versatility of a two-point, multilayer wall function in computing model- and full-scale ship flows with wall roughness and pressure gradient effects. The wall-function model is validated for smooth flat-plate flows at Reynolds numbers up to 10 9 , and it is applied to the Athena R/V for resistance, propulsion, and seakeeping calculations and to fully appended DTMB 5415 for a maneuvering simulation. Resistance predictions for Athena bare hull with skeg at the model scale compare well with the near-wall turbulence model results and experimental fluid dynamics (EFD) data. For full-scale simulations, frictional resistance coefficient predictions using smooth wall are in good agreement with the International Towing Tank Conference (ITTC) line. Rough-wall simulations show higher frictional and total resistance coefficients, where the former is found to be in good agreement with the ITTC correlation allowance. Self-propelled simulations for the fully appended Athena performed at full scale using rough-wall conditions compare well with full-scale data extrapolated from model-scale measurements using the ITTC ship-model correlation line including a correlation allowance. Full-scale computations are performed for the towed fully appended Athena free to sink and trim and the boundary layer and wake profiles are compared with full-scale EFD data. Rough-wall results are found to be in better agreement with the EFD data than the smooth-wall results. Seakeeping calculations are performed for the demonstration purpose at both model- and full-scale. Maneuvering calculation shows slightly more efficient rudder action, lower heading angle overshoots, and lower roll damping for full-scale than shown by the model scale.

[1]  Arthur M. Reed,et al.  Full-Scale Propeller Disk Wake Survey and Boundary Layer Velocity Profile Measurements on the 154-Foot Ship R/V Athena , 1980 .

[2]  V. C. Patel,et al.  Perspective: Flow at High Reynolds Number and Over Rough Surfaces—Achilles Heel of CFD , 1998 .

[3]  George P. Huang,et al.  The law of the wall in turbulent flow , 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[4]  Shin-Hyoung Kang,et al.  Full scale Reynolds number effects for the viscous flow around the ship stern , 1992 .

[5]  F. Stern,et al.  Phase-Averaged PIV for the Nominal Wake of a Surface Ship in Regular Head Waves , 2007 .

[6]  Pablo M. Carrica,et al.  URANS simulations for a high-speed transom stern ship with breaking waves , 2006 .

[7]  WEI Zhigang,et al.  Prediction of high Reynolds number flow , 2007 .

[8]  Tokihiro Katsui,et al.  Computation of Ship Viscous Flow at Full Scale Reynolds Number , 2002 .

[9]  Thomas Esch,et al.  Heat transfer predictions based on two-equation turbulence models with advanced wall treatment , 2003 .

[10]  B. Aupoix A general strategy to extend turbulence models to rough surfaces : Application to Smith's k-L model , 2007 .

[11]  V. C. Patel,et al.  Near-wall turbulence models for complex flows including separation , 1988 .

[12]  J. Fröhlich,et al.  Investigation of wall-function approximations and subgrid-scale models in large eddy simulation of separated flow in a channel with streamwise periodic constrictions , 2003 .

[13]  S. Utyuzhnikov Generalized wall functions and their application for simulation of turbulent flows , 2005 .

[14]  Ralph Noack,et al.  SUGGAR: A General Capability for Moving Body Overset Grid Assembly , 2005 .

[15]  L. B. Crook,et al.  Powering Predictions for the R/V ATHENA (PG 94) Represented by Model 4950-1 with Design Propellers 4710 and 4711 , 1981 .

[16]  Nan-Suey Liu,et al.  APPLICATION OF GENERALIZED WALL FUNCTION FOR COMPLEX TURBULENT FLOWS , 2003 .

[17]  Model- and Full-Scale URANS/DES Simulations for Athena R/V Resistance, Powering, and Motions , 2007 .

[18]  F. Menter Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[19]  D. Wilcox Turbulence modeling for CFD , 1993 .

[20]  Auke van der Ploeg,et al.  Computation of transom-stern flows using a steady free-surface fitting RANS method , 2007 .

[21]  Riccardo Broglia,et al.  Experience from SIMMAN 2008—The First Workshop on Verification and Validation of Ship Maneuvering Simulation Methods , 2011 .

[22]  Frederick Stern,et al.  FACTORS OF SAFETY FOR RICHARDSON EXTRAPOLATION FOR INDUSTRIAL APPLICATIONS , 2008 .

[23]  Robert M. Hall,et al.  Review of Skin Friction Measurements Including Recent High-Reynolds Number Results from NASA Langley NTF , 2000 .

[24]  Frederick Stern,et al.  Computational Towing Tank Procedures for Single Run Curves of Resistance and Propulsion , 2008 .

[25]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .

[26]  David Wilcox Wall matching, a rational alternative to wall functions , 1989 .

[27]  V. C. Patel,et al.  A viscous-flow approach to the computation of propeller-hull interaction , 1988 .

[28]  K. Knobloch,et al.  Statistics, Correlations, and Scaling in a Turbulent Boundary Layer at Reδ2 ≤ 1.15 × 105 , 2004 .

[29]  Douglas S. Jenkins,et al.  Resistance Characteristics of the High Speed Transcom Stern Ship R/V athena in the Bare Hull Condition, Represented by DTNSRDC Model 5365 , 1984 .

[30]  Michael P. Schultz,et al.  The Relationship Between Frictional Resistance and Roughness for Surfaces Smoothed by Sanding , 2002 .

[31]  Tobias Knopp,et al.  A grid and flow adaptive wall-function method for RANS turbulence modelling , 2006, J. Comput. Phys..

[32]  G. D. Tzabiras,et al.  A NUMERICAL STUDY OF THE TURBULENT FLOW AROUND THE STERN OF SHIP MODELS , 1991 .

[33]  J. Jiménez Turbulent flows over rough walls , 2004 .

[34]  Christoph W. Ueberhuber,et al.  Numerical Computation 2 , 1997 .

[35]  Frederick Stern,et al.  Unsteady RANS simulation of the ship forward speed diffraction problem , 2006 .

[36]  G. Iaccarino,et al.  Near-wall behavior of RANS turbulence models and implications for wall functions , 2005 .

[37]  J. Gorski,et al.  Present State of Numerical Ship Hydrodynamics and Validation Experiments , 2002 .