A havelock source panel method for near-surface submarines
Tim Gourlay , Edward Dawson
Journal of Marine Science and Application ›› 2015, Vol. 14 ›› Issue (3) : 215 -224.
A havelock source panel method for near-surface submarines
A panel method is described for calculating potential flow around near-surface submarines. The method uses Havelock sources which automatically satisfy the linearized free-surface boundary condition. Outputs from the method include pressure field, pressure drag, wave resistance, vertical force, trim moment and wave pattern. Comparisons are made with model tests for wave resistance of Series 58 and DARPA SUBOFF hulls, as well as with wave resistance, lift force and trim moment of three length-to-diameter variants of the DSTO Joubert submarine hull. It is found that the Havelock source panel method is capable of determining with reasonable accuracy wave resistance, vertical force and trim moment for submarine hulls. Further experimental data are required in order to assess the accuracy of the method for pressure field and wave pattern prediction. The method is implemented in the computer code “HullWave” and offers potential advantages over RANS-CFD codes in terms of speed, simplicity and robustness.
near-surface submarine / Havelock source / panel method / submarine hull / wave resistance
| [1] |
Abramowitz M, Stegun IA (1965). Handbook of mathematical functions. Dover Publications, New York. |
| [2] |
|
| [3] |
Dawson E (2014). An investigation into the effects of submergence depth, speed and hull length-to-diameter ratio on the near-surface operation of conventional submarines. PhD thesis, University of Tasmania, Hobart, Australia. |
| [4] |
|
| [5] |
|
| [6] |
|
| [7] |
Flowtech International AB (2012). SHIPFLOW ® 4.7 users manual. Flowtech International, Gothenburg, Sweden. |
| [8] |
Gertler M (1950). Resistance experiments on a systematic series of streamlined bodies of revolution- for application to the design of high-speed submarines. David Taylor Model Basin, Washington, DC, Report C-297. |
| [9] |
Gourlay TP (2014). ShallowFlow: a program to model ship hydrodynamics in shallow water. 33 rd International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2014, San Francisco, USA, Paper No. OMAE2014-23291. DOI: 10.1115/OMAE2014-23291 |
| [10] |
Groves NC, Huang TT, Chang MS (1989). Geometric characteristics of DARPA SUBOFF models (DTRC model Nos. 5470 and 5471). David Taylor Research Centre, Bethesda, USA, report DTRC/SHD-1298-01. |
| [11] |
|
| [12] |
|
| [13] |
|
| [14] |
Hong YS (1983). Computation of nonlinear wave resistance. David W Taylor Naval Ship Research and Development Center, Bethesda, USA, 104-126. |
| [15] |
Huang T, Liu H, Groves L, Forlini T, Blanton J, Gowing S (1994). Measurements of flows over an axisymmetric body with various appendages in a wind tunnel: the DARPA SUBOFF experimental program. 19 th Symposium on Naval Hydrodynamics, Washington, DC, USA. |
| [16] |
|
| [17] |
|
| [18] |
|
| [19] |
|
| [20] |
|
| [21] |
The Mathworks (2014). MATLAB and statistics toolbox release 2014a. The MathWorks, Inc., Natick, USA. |
| [22] |
Tuck EO, Scullen DC, Lazauskas L (2002). Wave patterns and minimum wave resistance for high-speed vessels. 24 th Symposium on Naval Hydrodynamics, Fukuoka, Japan. |
| [23] |
Wehausen JV, Laitone EV (1960). Surface waves. Encyclopedia of Physics IX, Springer-Verlag, Berlin, Heidelberg, 484. |
/
| 〈 |
|
〉 |