[1. Abraham, J., Gorman, J., Reseghetti, F., et al., Modeling and numerical simulation of the forces acting on a sphere during early-water entry, Ocean Engineering, Vol. 76, 1-9, 2014.10.1016/j.oceaneng.2013.11.015]Search in Google Scholar
[2. Akers R.H.: Dynamic Analysis of Planing Hulls in the Vertical Plane, Proceedings of the Society of Naval Architects and Marine Engineers, New England Section, 1999.]Search in Google Scholar
[3. Akers R.H.: 2014. Advances in time-domain simulation of planing boats. In: Proceedings of the Fourth Chesapeake Powerboat Symposium, Annapolis, MD, USA, 2014.]Search in Google Scholar
[4. Algarin R., Tascon, O.: Hydrodynamic Modeling of Planing Boats with Asymmetric and Steady Condition, Proceedings of the 9th Conference on High Speed Marine Vehicles, Naples, Italy, 2011.]Search in Google Scholar
[5. Algarin R., Tascon, O.: Analysis of Dynamic Stability of Planing Craft on the Vertical Plane, Ship Science and Technology, Vol. 8, No. 15, 2014.10.25043/19098642.101]Search in Google Scholar
[6. Bertorello C, Olivero L.: Hydrodynamic Resistance Assessment of non-monohedral planing hull forms based on Savitsky’s methodology, Australian Journal of Mechanical Engineering, Vol. 4, No. 2, 209-204, 2007.10.1080/14484846.2007.11464527]Search in Google Scholar
[7. Brizzolara S, Sera F. Accuracy of CFD codes in the Prediction of planing surfaces hydrodynamic characteristics. In: Proceedings of the 2nd International Conference on marine Research and Transportation, 2007.]Search in Google Scholar
[8. Brizzolara S, Villa D., CFD simulation of planing hulls. In: Proceedings of the 7th International conference on High- Performance Marine Vehicles, Melbourne, Florida, USA, 2010.]Search in Google Scholar
[9. Brogila R., Iafrati A.: Hydrodynamic of planing hulls in asymmetric conditions. In: 28th Symposium on Naval Hydrodynamics Pasadena, California, 2010.]Search in Google Scholar
[10. Facci, A.L., Panciroli, R., Ubertini, S., Porfiri, M.,: Assessment of PIV-based analysis of water entry problems through synthetic numerical datasets, Journal of Fluids and Structures, Vol. 55, 484-500, 2015a.10.1016/j.jfluidstructs.2015.03.018]Search in Google Scholar
[11. Facci, A.L., Porfiri, M., Ubertini, S.: Three-dimensional water entry of a solid body: A computational study, Journal of Fluids and Structures, Vol. 66, 36-53, 2016.10.1016/j.jfluidstructs.2016.07.015]Search in Google Scholar
[12. Fairelie-Clarke, AC., Tvetnies T.: Momentum and Gravity Effects During the Constant Velocity Water Entry of Wedge- Shaped Sections, Ocean Engineering, Vol. 35, 2008.10.1016/j.oceaneng.2006.11.011]Search in Google Scholar
[13. Farsi, M., Ghadimi, P.: Finding the best combination of numerical schemes for 2-D SPH simulation of wedge water entry for a wide range of deadrise angles, International Journal of Naval Architecture and Ocean Engineering, Vol. 6, No. 3, 638-651, 2014a.10.2478/IJNAOE-2013-0202]Search in Google Scholar
[14. Farsi, M., Ghadimi, P., Effect of flat deck on catamaran water entry through smoothed particle hydrodynamics, Proceedings of the Institution of Mechanical Engineers Part M: Journal of Engineering for the Maritime Environment, Vol. 230, No. 2, 267-280, 2014b.10.1177/1475090214563960]Search in Google Scholar
[15. Farsi, M., Ghadimi, P.: Simulation of 2D symmetry and asymmetry wedge water entry by smoothed particle hydrodynamics method, Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 37, No. 3, 821-835, 2015.10.1007/s40430-014-0212-5]Search in Google Scholar
[16. Feizi Chekab, M.A., Ghadimi, P., Farsi, M.: Investigation of three-dimensionality effects of aspect ratio on water impact of 3D objects using smoothed particle hydrodynamics method, Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 38, No. 7, 1987-1997, 2016.10.1007/s40430-015-0367-8]Search in Google Scholar
[17. Fridsma G.: A Systematic Study of the Rough-Water Performance of Planing Boats (PART I), Davidson Laboratory, Report No. 1275, 1969.10.21236/AD0708694]Search in Google Scholar
[18. Garme K.: Improved Time Domain Simulation of Planing Hulls in Waves by Correction of Near-Transom Lift, International Journal of Shipbuilding Progress, Vol. 52, No. 3, 2005.]Search in Google Scholar
[19. Garme K., Rosen A.: Time domain simulations and full-scale trials on planing crafts in waves, International Shipbuilding progress, Vol. 50, No. 3, 177-208, 2003.]Search in Google Scholar
[20. Garo R., Datla R., Imas L.: Numerical simulation of planing hull hydrodynamics. In: Proceedings of the Third Chesapeake Powerboat Symposium, Annapolis, MD, USA, 2012.]Search in Google Scholar
[21. Ghadimi, P., Saadatkhah, A., Dashtimanesh, A.: Analytical solution of wedge water entry by using Schwartz-Christoffel conformal mapping, International Journal of Modeling, Simulation, and Scientific Computing, Vol. 2, No. 3, 337-354, 2011.10.1142/S1793962311000487]Search in Google Scholar
[22. Ghadimi P., Dashtimanesh A., Djeddi S.R.: Study of water entry of circular cylinder by using analytical and numerical solutions, Journal of Brazilian Society of Mechanical Sciences and Engineering, Vol. 34, No. 3, 225-232, 2012.10.1590/S1678-58782012000300001]Search in Google Scholar
[23. Ghadimi, P., Feizi Chekab, M.A., Dashtimanesh, A.: A numerical investigation of the water impact of an arbitrary bow section, ISH Journal of Hydraulic Engineering, Vol. 19, No. 3, 186-195, 2013.10.1080/09715010.2013.796690]Search in Google Scholar
[24. Ghadimi, P., Feizi Chekab, M.A., Dashtimanesh, A.: Numerical simulation of water entry of different arbitrary bow sections, Journal of Naval Architecture and Marine Engineering, Vol. 11, No. 2, 117-129, 2014a.10.3329/jname.v11i2.18724]Search in Google Scholar
[25. Ghadimi P., Tavakoli S, Dashtimanesh A., Pirooz A.: Developing a computer program for detailed study of planing hull’s spray based on Morabito’s approach. Journal of Marine Science and Application. Vol. 13, No. 4, 402-415. 2014b.10.1007/s11804-014-1280-8]Search in Google Scholar
[26. Ghadimi P., Tavakoli S., Feizi Chakab M. A., Dashtimanesh A.: Introducing a particular mathematical model for predicting the resistance and performance of prismatic planing hulls in calm water by means of total pressure distribution, Journal of Naval Architecture and Marine Engineering, Vol. 12, No. 2, 73-94, 2015.10.3329/jname.v12i2.22351]Search in Google Scholar
[27. Ghadimi P., Tavakoli S., Dashtimanesh A. Zamanian R.: Steady performance prediction of a heeled planing boat in calm water using asymmetric 2D+T model, Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, Published Online: 2016a. DOI: 10.1177/1475090216638680.10.1177/1475090216638680]Search in Google Scholar
[28. Ghadimi P, Tavakoli S, Dashtimanesh A.: Coupled heave and pitch motions of planing hulls at non-zero heel angle. Applied Ocean Research, Vol. 59, 286-303, 2016b.10.1016/j.apor.2016.05.009]Search in Google Scholar
[29. Ghadimi P., Tavakoli S., Dashtimanesh A.: An analytical procedure for time domain simulation of roll motion of the warped planing hulls. Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 230(4), 600-615, 2016c.]Search in Google Scholar
[30. Ghadimi P, Tavakoli S, Dashtimanesh A. A non-linear mathematical model for coupled heave, pitch and roll motions of a high-speed planing hull, Journal of Engineering Mathematics. Published Online, 2016d. 10.1007/s10665-016-9878-2.10.1007/s10665-016-9878-2.10.1007/s10665-016-9878-2]Search in Google Scholar
[31. Haase H., Soproni J.P., Abdel-Maksoud M.: Numerical analysis of a planing boat in head waves using 2D+T method. Ship Technology Research, 62(3), 131-139, 2015.10.1179/2056711115Y.0000000003]Search in Google Scholar
[32. ITTC: Report of Resistance Committee, 8th International Towing Tank, Madrid, Spain, 1957.]Search in Google Scholar
[33. Conference, Venice, 2002.]Search in Google Scholar
[34. Jiang Y., Zou, J., Hu, A., Yang J.; Analysis of tunnel hydrodynamic characteristics for planing trimaran by model test and numerical simulations, Ocean Engineering, Vol. 13, 101-110, 2016.10.1016/j.oceaneng.2015.12.038]Search in Google Scholar
[35. Judge C., Troesch A., Perlin M.: Initial water Impact of a wedge at Vertical and Oblique Angles, Journal of Engineering Mathematics, Vol. 48, 2004.10.1023/B:engi.0000018187.33001.e1]Search in Google Scholar
[36. Kanyoo P., Taunton D., Blake J.I.: Development and optimization of mathematical model of high speed planing hulls. In: Proceedings of the 13th International Conference on Fast Sea Transportation (FAST 2015), DC, USA, 2015.]Search in Google Scholar
[37. Katayama T., Fujimoto M., Ikeda Y.: A study in transverse stability loss of planing craft at super high forward speed. In: Proceedings of the 9th International Conference on Stability of Ships and Ocean Vehicles, Rio de Janerio, Brazil, 2006.]Search in Google Scholar
[38. Korobkin A.A.: A linearized model of water exit. Journal of Fluid Mechanics, 737, 368-386, 2013.10.1017/jfm.2013.573]Search in Google Scholar
[39. Korobkin A.A., Melenica S.: Modified Logvinovic model for hydrodynamic loads on asymmetric contours entering water. In: Proceedings of the 20th International Workshop on Water Waves and Floating Bodies, Oslo, Norway, 2005.]Search in Google Scholar
[40. Krovin-Kroukovsky B.V., Savitsky D., William L.: Wave contours in the wake of a 20° deadrise planing surface. Davidson Laboratory, Report No. 337, 1949.]Search in Google Scholar
[41. Kim D.J., Rhee K.P., You Y.J.: Theoretical Prediction of Running Attitudes of a Semi-Displacement Round Bilge Vessel at High Speed, Applied Ocean Research, Vol. 42, 2013.10.1016/j.apor.2013.02.003]Search in Google Scholar
[42. Maki K.J., Lee D., Troesch AW., Vlahopoulos N.: Hydroelastic impact of a wedge-shaped body. Ocean Engineering, Vol. 38, 621-629.10.1016/j.oceaneng.2010.12.011]Search in Google Scholar
[43. Martin M.: Theoretical determination of porpoising instability of high-speed planing boat. David Taylor Naval Ship Research and Development Center, Report No. 76-0068, 1976a.10.21236/ADA030218]Search in Google Scholar
[44. Martin M.: Theoretical prediction of motion of high-speed planing boats in waves. David Taylor Naval Ship Research and Development Center, Report No. 76-0069, 1976b.]Search in Google Scholar
[45. Mei X., Liu Y., On the water impact of general twodimensional sections, Applied Ocean Research, Vol. 21, No. 1, 21-15, 1999. 10.1016/S0141-1187(98)00034-0]Search in Google Scholar
[46. Mercier J.A., Savitsky D.: Resistance of Transom Shear Craft in the Pre-planing Range, Davison Laboratory, Report No. 1667, Hoboken, NJ, USA, 1973.]Search in Google Scholar
[47. Metcalf B.J., Faul L., Bumiller E., Slutsky, J.: Resistance Tests of a Systematic Series of US Coast Guard of Planing Hulls, NSWCCd-50-TR-2005/063, 2005.]Search in Google Scholar
[48. Milwitzky B. 1948. A generalized theoretical and experimental investigation of the motions and hydrodynamic loads experienced by V-bottom seaplanes during step-landing impact. NACA TN 1516.]Search in Google Scholar
[49. Morabito M.G.; On the spray and bottom pressures of planing surfaces, PhD Thesis, Stevens Institute of Technology, Hoboken, NJ, USA.]Search in Google Scholar
[50. Morabito, M.G.; Empirical Equations for Planing Hull Pressure Distributions. Journal of Ship Research, Vol. 58, No. 3, 2014.10.5957/jsr.2014.58.4.185]Search in Google Scholar
[51. Morabito M.G.: Prediction of Planing Hull Side Forces in Yaw Using Slender Body Oblique Impact Theory, Ocean Engineering, Vol. 101, 2015.10.1016/j.oceaneng.2015.04.014]Search in Google Scholar
[52. Mousaviraad, S.M., Wang, Z., Stern, F.: URANS studies of hydrodynamic performance and slamming loads on highspeed planing hulls in calm water and waves for deep and shallow conditions, Applied Ocean Research, Vol. 51, 222-240, 2015.10.1016/j.apor.2015.04.007]Search in Google Scholar
[53. Nguyen, V.-T., Park, W.-G.: A free surface flow solver for complex three-dimensional water impact problems based on the VOF method, International Journal for Numerical Methods in Fluids, Vol. 82, No. 1, 3-34, 2016.10.1002/fld.4203]Search in Google Scholar
[54. Piro D.J., Maki K.J.: Hydroelastic analysis of bodies that enter and exit water, Journal of Fluids and Structures, Vol. 37, 134-150, 2013.10.1016/j.jfluidstructs.2012.09.006]Search in Google Scholar
[55. Riccardi G, Iafrati A.: Water impact of an asymmetric floating wedge. Journal of Engineering Mathematics, Vol. 49, 19-39, 2003.10.1023/B:ENGI.0000014885.89822.f5]Search in Google Scholar
[56. Savitsky D.: Hydrodynamic Design of Planing Hulls, Marine Technology, Vol. 1, No. 1, 1964.10.5957/mt1.1964.1.4.71]Search in Google Scholar
[57. Savitsky D.; The Effect of Bottom Warp on the Performance of Planing Hulls, Proceedings of the third SNAME Chesapeake Powerboat Symposium, Annapolis, 2011.]Search in Google Scholar
[58. Savitsky D., Brown W.: Procedures for Hydrodynamic Evaluation of Planing Hulls in Smooth and Rough Water, Marine Technology, Vol. 13, No. 4, 1978.10.5957/mt1.1976.13.4.381]Search in Google Scholar
[59. Savitsky D., Morabito M.,: Origin and characteristics of the spray patterns generated by planing hulls, Journal of Ship Production, Vol. 27, No. 2, 63-83.10.5957/jspd.2011.27.2.63]Search in Google Scholar
[60. Savitsky D., DeLorme M. F., Datla R.; Inclusion of Whisker Spray Drag in Performance Prediction Method for High- Speed Planing Hulls, Marine Technology, Vol. 44, No. 1, 2007.10.5957/mt1.2007.44.1.35]Search in Google Scholar
[61. Savander BR.: Planing hull steady hydrodynamics. PhD Thesis. University of Michigan, Ann Arbor, Michigan, USA, 1997.]Search in Google Scholar
[62. Sebastiani L., Bruzzone D., Gualeni P., et al.: A practical method for the prediction of planing craft motions in regular and irregular waves. In: Proceedings of the ASME 27th International Conference on Offshore Mechanics and Arctic Engineering, Estoril, Portugal, 2008.]Search in Google Scholar
[63. Schachter RD, Riberio HJC.: Dynamic equilibrium evaluation for planing hulls with arbitrary geometry and variable deadrise angles - The virtual prismatic hulls method, Ocean Engineering, Vol. 115, 67-92, 2016.10.1016/j.oceaneng.2015.12.053]Search in Google Scholar
[64. Schnitzer E, 1952. Theory and procedure for determining loads and motions in chine-immersed hydrodynamic impacts. NACA TN 2813.]Search in Google Scholar
[65. Shademani, R., Ghadimi, P.: Estimation of water entry forces, spray parameters and secondary impact of fixed width wedges at extreme angles using finite element based finite volume and volume of fluid methods, Brodogradnja, Vol. 67, No. 1, 101-124, 2016.]Search in Google Scholar
[66. Sun H., Faltinsen O.M.: Dynamic motions of planing vessels in head seas. Journal of Marine Science and Technology, Vol. 16, 168-180, 2011.10.1007/s00773-011-0123-4]Search in Google Scholar
[67. Sun H., Faltinsen O.M.: Hydrodynamic Forces on a Semi- Displacement Ship at High Speed, Applied Ocean Research, Vol. 34, 2012.10.1016/j.apor.2011.10.001]Search in Google Scholar
[68. Tascon O.D., Troesch A.W., Maki K.J.: Numerical computation of hydrodynamic forces acing on a maneuvering planing hull via slender body theory-SBT and 2-D impact theory. In: Proceedings of the 10th International Conference on Fast Sea Transportation (FAST 2009), Athens, Greece, 2009.]Search in Google Scholar
[69. Tassin A., Korobkin AA., Cooker M.J.: On analytical models of vertical water entry of symmetric body with separation and cavity initiation. Applied Ocean Research, 48, 33-41, 2014.10.1016/j.apor.2014.07.008]Search in Google Scholar
[70. Tavakoli S., Ghadimi P., Dashtimanesh A., Sahoo P.K.: Determination of Hydrodynamic Coefficients Related to Roll Motion of High-Speed Planing Hulls, Proceedings of the 13the International Conference on Fast Sea Transportation, DC, USA, 2015. 10.5957/FAST-2015-052]Search in Google Scholar
[71. Radojcic D., Zgradic A., Kalajdzic M., Simic, A., Resistance Prediction for Hard-Chine Hulls in the Pre-Planing Regime, Polish Maritime Research, Vol. 21, 2014a.10.2478/pomr-2014-0014]Search in Google Scholar
[72. Radojcic D., Morabito M.G., Simic A. P., Zgradic A.B.: Modeling with regression analysis and artificial neural networks the resistance and trim of series 50 experiments with V-bottom motor boats, Journal of Ship Production and Design, Vol. 30, No. 4, 153-174, 2014b.10.5957/JSPD.30.4.140011]Search in Google Scholar
[73. von Karman T.: The impact on Seaplane Floats During Landing, NACA TN 321.]Search in Google Scholar
[74. Vorus SW.: A flat cylinder theory for vessel impact and steady planing, J. Ship Research, Vol. 40, No. 2, 89-106, 1996.10.5957/jsr.1996.40.2.89]Search in Google Scholar
[75. Wagner H.: Phenomena Associated with Impacts and Sliding on Liquid Surface, NACA Translation of Uber Stossund Gleitvorgange an der Oberflache von Flussigkeiten. Zeitschr. Angew. Math. Mech, Vol. 12, No, 4, 1932.10.1002/zamm.19320120402]Search in Google Scholar
[76. Xu L., Troesch A.W.; A study on hydrodynamic of asymmetric planing surfaces. In: Proceedings of the 5th International Conference on Fast Sea Transportation (FAST 99), Seattle, Washington, USA, 1999.]Search in Google Scholar
[77. Xu L., Troesch A.W., Peterson R.: Asymmetric hydrodynamic impact and dynamic response of vessels. Journal of Offshore Mechanics and Arctic Engineering, Vol. 121, 83-89: 1999.10.1115/1.2830082]Search in Google Scholar
[78. Yettou E.M., Derochers A., Champoux, Y.: A new analytical model for pressure estimation of symmetrical water impact of a rigid wedge at variable velocities, Journal of Fluids and Structures, Vol. 23, 502-522, 2007.10.1016/j.jfluidstructs.2006.10.001]Search in Google Scholar
[79. Zarnickh E.E.: A nonlinear mathematical model of motions of a planing boat in regular waves. David Taylor Naval Ship Research and Development Center, Report No. 78/032, 1978.10.5962/bhl.title.47857]Search in Google Scholar
[80. Zarnickh E.E.: A nonlinear mathematical model of motions of a planing boat in irregular waves. David Taylor Naval Ship Research and Development Center, Report No. SPD-0867-01, 1979.10.5962/bhl.title.47857]Search in Google Scholar
[81. Zhao R., Faltinsen O. M.: Water entry of two-dimensional bodies. Journal of Fluid Mechanics, Vol. 246, 593-612, 1993.10.1017/S002211209300028X]Search in Google Scholar
[82. Zhao R., Faltinsen O. M., Haslum H.A.: A simplified nonlinear analysis of a high-speed planing craft in calm water. In: Proceedings of the 4th International Conference on Fast Sea Transportation (FAST 97), Sydney, Australia, 1997.]Search in Google Scholar