Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-19T15:22:39.588Z Has data issue: false hasContentIssue false

References

Published online by Cambridge University Press:  11 May 2023

Umesh A. Korde  and
R. Cengiz Ertekin
Umesh A. Korde
Affiliation:
The Johns Hopkins University, Maryland
R. Cengiz Ertekin
Affiliation:
University of Hawaii, Manoa
Get access

Summary

A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Engineering Mathematics for Marine Applications , pp. 400 - 405
Publisher: Cambridge University Press
Print publication year: 2023

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abramowitz, M. and Stegun, I. (1972). Handbook of Mathematical Functions. New York: Dover Publications. Reissue of 1964 version by National Bureau of Standards.Google Scholar
Adiutori, E. (2005). FOURIER: Is this French mathematician the true father of modern engineering. Mechanical Engineering Vol. 127(8), 30–31.Google Scholar
Batchelor, G. K. (1967). An Introduction to Fluid Dynamics. Cambridge University Press. Call No. (QA 911.B33), xviii+615pp.Google Scholar
Blevins, R. D. (1977). Flow-Induced Vibration. New York: Van Nostrand Reinhold Co. Call No. (TA 355.B52), xiii+363pp.Google Scholar
Braun, M. (1991). Differential Equations and Their Applications (4th ed.). New York: Springer-Verlag.Google Scholar
Brebbia, C. A. (1978). The Boundary Element Method for Engineers. New York: John Wiley & Sons. Call No. (TA 335.B73).Google Scholar
Brown, J. and Churchill, R. (2008). Fourier Series and Boundary Value Problems (7th ed.). New York: McGraw-Hill.Google Scholar
Buckingham, E. (1914). On physically similar systems: Illustrations of the use of dimensional equations. Physical Review Vol. 4(4), 345–376.Google Scholar
Caro, C. G., Pedley, T. J., C. Schroter, R., and Seed, W. A. (2012). The Mechanics of the Circulation. Cambridge University Press.Google Scholar
Chakrabarti, S. K. (1987). Hydrodynamics of Offshore Structures. Computational Mechanics Publications. New York: Springer-Verlag. Call No. (TC 1665.C43), xvii+440pp.Google Scholar
Chakrabarti, S. K. (1994). Offshore Structure Modeling. New Jersey: World Scientific, xx+470pp.Google Scholar
Chakrabarti, S. K. (2002). The Theory and Practise of Hydrodynamics and Vibration. New Jersey: World Scientific.Google Scholar
Chakrabarti, S. K. and Tam, W. A. (1975). Interaction of waves with a large vertical cylinder. Journal of Ship Research Vol. 19, 23–33.Google Scholar
Comstock, J. P. E. (1967). Principles of Naval Architecture. New York: The Society of Naval Architects and Marine Engineers (SNAME).Google Scholar
Currie, I. G. (1974). Fundamental Mechanics of Fluids. New York: McGraw-Hill. Call No. (QA 901.C8), xiv+441pp.Google Scholar
Dean, R. G. and Dalrymple, R. A. (1991). Water Wave Mechanics for Engineers and Scientists. Singapore: World Scientific.Google Scholar
Delaney, N. and Soreasen, N. (1953, November). Low-Speed Drag of Cylinders of Various Shapes. Washington, DC: National Advisory Committee for Aeronautics, NACA, Technical Note 3038.Google Scholar
Dillingham, J. (1984). Recent experience in model-scale simulation of tension leg platforms. Marine Technology Vol. 21(2), 186–200.Google Scholar
Du, S. X. and Ertekin, R. C. (1991, October). Dynamic response analysis of a flexibly joined, multi-module very large floating structure. In Proceedings of Oceans ‘91 Conference, Volume 3, Honolulu, pp. 1286–1293. IEEE.Google Scholar
Ertekin, R. C. (1984, May). Soliton Generation by Moving Disturbances in Shallow Water: Theory, Computation and Experiment. Ph.D. thesis, University of California, Berkeley, 352pp.Google Scholar
Ertekin, R. C. and Kim, J. W. (1999, September 22–24). Third International Workshop on Very Large Floating Structures, VLFS ‘99, Volumes I and II. University of Hawaii, 916pp.Google Scholar
Ertekin, R. C., Liu, Y. Z., and Padmanabhan, B. (1994). Interaction of incoming waves with a steady intake-pipe flow. Journal of Offshore Mechanics and Arctic Engineering Vol. 116(4), 214–220.Google Scholar
Ertekin, R. C. and Padmanabhan, B. (1994). Graphical aid in potential flow problems. Computers in Education Journal Vol. IV(4), 24–31.Google Scholar
Ertekin, R. C., Riggs, H. R., L. Che, X., and Du, S. X. (1993). Efficient methods for hydroelastic analysis of very large floating structures. Journal of Ship Research Vol. 37(1), 58–76.Google Scholar
Ertekin, R. C. and Rodenbusch, G. (2016). Wave, Current and Wind Loads. Handbook of Ocean Engineering, Part D, Chapter 35. Heidelberg: Springer.Google Scholar
Ertekin, R. C. and Sundararaghavan, H. (1995). The calculation of the instability criterion for a uniform viscous flow past an oil boom. Journal of Offshore Mechanics and Arctic Engineering Vol. 117, 24–29.Google Scholar
Ertekin, R. C., Wang, S. Q., L. Che, X., and Riggs, H. R. (1995). On the application of the Haskind-Hanaoka relations to hydroelasticity problems. Marine Structures Vol. 8(6), 617–629.Google Scholar
Ertekin, R. C. and Xu, Y. (1994). Preliminary assessment of the wave-energy resource using observed wave and wind data. Energy Vol. 19(7), 729–738.Google Scholar
Falnes, J. (1995). On non-causal impulse response functions related to propagating water waves. Applied Ocean Research Vol. 17(6), 379–389.Google Scholar
Faltinsen, O. M. (1990). Sea Loads on Ships and Offshore Structures. Ocean Technology Series. Cambridge, UK: Cambridge University Press. Call No. (TC 1665.F35), viii+328pp.Google Scholar
Friedland, B. (1986). Control System Design: An Introduction to State-Space Methods. New York: McGraw-Hill. Reissued by Dover, 2005.Google Scholar
Fung, Y. C. (1977). A First Course in Continuum Mechanics. Englewood Cliffs: Prentice Hall. Call No. (QA808.2.F85), xii+340pp.Google Scholar
Goldstein, H. (1980). Classical Mechanics (2nd ed.). London: Addison-Wesley. Call No. (QA 805.G6 1980), xiv+672pp.Google Scholar
Gradshteyn, I. S. and Ryzhik, I. M. (1980). Table of Integrals, Series, and Products (4th ed.). New York: Academic Press. Call No. (QA 55.G6613 1979), xlv+1160pp.Google Scholar
Gradshteyn, I. S. and Ryzhik, I. M. (1994). Table of Integrals, Series, and Products, Ed. Alan Jeffrey (5th ed.). San Diego, CA: Academic Press.Google Scholar
Graff, K. (1991). Wave Motion in Elastic Solids. New York: Dover Publications. Reissue of 1975 version by Oxford University Press.Google Scholar
Greenberg, M. D. (1978). Foundations of Applied Mathematics. Englewood Cliffs: Prentice Hall.Google Scholar
Greenberg, M. D. (1998). Advanced Engineering Mathematics (2nd ed.). Upper Saddle River: Prentice Hall/Pearson.Google Scholar
Happel, J. and Brenner, H. (1965). Low Reynolds Number Hydrodynamics. Englewood Cliffs: Prentice Hall. Call No. (QA 929. H35), xiii+553pp.Google Scholar
Harms, V. W. (1979, May). Diffraction of water waves by isolated structures. Journal of the Waterway Port Coastal and Ocean Division Vol. 105(WW2), 131–147.Google Scholar
Havelock, T. H. (1940). The pressure of water waves upon a fixed obstacle. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences Vol. 175(Ser. A), 409–421.Google Scholar
Hogben, N. and Standing, R. G. (1974). Wave loads on large bodies. Proceedings of the International Symposium on Dynamics of Marine Vehicles and Structures in Waves, University College London.Google Scholar
Howarth, L. (1938). On the solution of the laminar boundary layer equations. Proceedings of the Royal Society A, London Vol. 164(A), 547–579.Google Scholar
Huang, L. L. and Riggs, H. R. (2000). The hydrostatic stiffness of flexible floating structures for linear hydroelasticity. Marine Structures Vol. 13, 91–106.Google Scholar
Hughes, S. A. (1993). Physical Models and Laboratory Techniques in Coastal Engineering. New Jersey: World Scientific, xv+568pp.Google Scholar
Kennard, E. H. (1967, February). Irrotational Flow of Frictionless Fluids, Mostly Invariable Density. Washington, DC, AD 653463: David Taylor Model Basin Report No. 2299, xxiv+410pp.Google Scholar
Keulegan, G. H. and Carpenter, L. H. (1958). Forces on cylinders and plates in an oscillating fluid. Journal of Research of the National Bureau of Standards Vol. 60(5), 423–440.Google Scholar
Korde, U. A. (1990). Study of a wave energy device for possible application in communication and spacecraft propulsion. Ocean Engineering Vol. 17(6), 587–599.Google Scholar
Korde, U. A. and Ringwood, J. V. (2016). Hydrodynamic Control of Wave Energy Devices. Cambridge, UK: Cambridge University Press.Google Scholar
Koterayama, W. (1984). Wave forces acting on a vertical circular cylinder with a constant forward velocity. Ocean Engineering Vol. 11(4), 363–379.Google Scholar
Kreyszig, E., Kreyszig, H., and Norminton, E. (2011). Advanced Engineering Mathematics (10th ed.). New York: John Wiley & Sons.Google Scholar
Krolikowski, L. and Gay, T. (1980). An improved linearization technique of frequency domain riser analysis. In Proceedings of Offshore Technology Conference, Houston, TX, pp. 341–353. OTC.Google Scholar
Lamb, H. (1932). Hydrodynamics. (6th ed.). Cambridge, UK: Cambridge University Press. Reissued by Dover, NY, 1945.Google Scholar
Lanczos, C. (1970). The Variational Principles of Mechanics. Toronto, Canada: University of Toronto Press. Reissued by Dover, NY, 1986.Google Scholar
Landweber, L. (1957). Generalization of the logarithmic law of the boundary layer on a flat plate. Schiffstechnik Vol. 4(21), 110–113.Google Scholar
Lee, J. J. (1971). Wave induced oscillations in harbors of arbitrary geometry. Journal of Fluid Mechanics Vol. 45, 375–394.Google Scholar
Levi-Civita, T. (1925). Determination rigoureuse des ondes permanentes d’ampleur finie, Mathematische Annalen Vol. 93, 264–314.Google Scholar
MacCamy, R. C. and Fuchs, R. A. (1954, December). Wave Forces on Piles: A Diffraction Theory. Tech. Memo. No. 69. Beach Erosion Board. Army Corps of Engineers, 17pp.Google Scholar
Mei, C. C. (1989). The Applied Dynamics of Ocean Surface Waves. New Jersey: World Scientific, xx+740pp.Google Scholar
Mei, C. C. (1992). The Applied Dynamics of Ocean Surface Waves. Singapore: World Scientific. Chapter 7.Google Scholar
Meirovitch, L. (2010). Methods of Analytical Dynamics. Reissue by Dover, McGraw-Hill, 1970.Google Scholar
Meriam, J. and Kraige, L. (1997). Dynamics: Engineering Mechanics (4th ed.). New York: John Wiley & Sons.Google Scholar
Milne-Thompson, L. M. (1968). Theoretical Hydrodynamics. London: MacMillan Press. Call No. (QA 911.M5), xxii+4 plates+743pp.Google Scholar
Mogridge, G. R. and Jamieson, W. W. (1975). Wave forces on a circular caisson: Theory and experiment. Canadian Journal of Civil Engineering Vol. 2, 540–548.Google Scholar
Morison, J. R., P. O’Brien, M., Johnson, J. W., and Schaaf, S. A. (1950). The force exerted by surface piles. Petroleum Transactions Vol. 189, 149–154.Google Scholar
Naito, S. and Nakamura, S. (1985). Wave energy absorption in irregular waves by feedforward control system. In Evans, D. and A. de O. Falcão (Eds.), Proceedings of IUTAM Symposium on Hydrodynamics of Wave Energy Utilization, pp. 269–280. Berlin: Springer-Verlag.Google Scholar
Nayfeh, A. (1973). Perturbation Methods. New York: John Wiley & Sons.Google Scholar
Newman, J. N. (1976). The interaction of stationary vessels with regular waves. In Proceedings of 11th Symposium on Naval Hydrodynamics, London, pp. 491–501.Google Scholar
Newman, J. N. (1978). Marine Hydrodynamics. Cambridge: MIT Press. Second Printing, Call No. (VM 156.N48), ix+402pp.Google Scholar
Nikuradse, J. (1942). Laminare reibungsschichten an der längsangetrömten platte. Zentrale f. wiss. Berichtswesen Monograph.Google Scholar
Omer, G. and Hall, H. (1949). The scattering of a tsunami by a circular island. Journal of Seismological Society of America Vol. 39(4), 257–260.Google Scholar
Paulling, J. R. (1979a). An equivalent linear representation of the forces exerted on the OTEC CW pipe by combined effects of waves and current. In Ocean Engineering for OTEC; 1980 Energy-Sources Technology Conference and Exhibition, New York: American Society of Mechanical Engineers, pp. 21–28.Google Scholar
Paulling, J. R. (1979b). Frequency-domain analysis of OTEC CW pipe and platform dynamics. In Offshore Technology Conference, pp. 1641–1651.Google Scholar
Potter, M. C. and Foss, J. F. (1982). Fluid Mechanics. Okemos, MI: Great Lakes Press. Call No. (TA 357.P72), x+588pp.Google Scholar
Prandtl, L. and Durand, E. W. F. (1935). The Mechanics of Viscous Fluids in Aerodynamic Theory, Vol. III (Dover Publications, Inc., 1963). Call No. (TL 570.D931a), VI Plates + 34–208pp.Google Scholar
Press, W., Teukolsky, S., Vetterling, W., and Flannery, B. (1992). Numerical Recipes in FORTRAN: The Art of Scientific Computing, Volume Second Edition. Cambridge University Press. Call No. (QA297.N866).Google Scholar
Rahman, M. (1988). The Hydrodynamics of Waves and Tides, with Applications. Boston: Computational Mechanics, 322pp.Google Scholar
Rawson, K. J. and Tupper, E. C. (1984). Basic Ship Theory (3rd ed.), Vols. 1 and 2. London: Longman.Google Scholar
Richardson, S. M. (1989). Fluid Mechanics. New York: Hemisphere Pub. Co. Call No. (TA 357.R53), x+314pp.Google Scholar
Roach, G. N. (1982). Green’s Functions (2nd ed.). New York: Cambridge University Press. Call No. (QA 379.R6), xiv+325pp.Google Scholar
Sarpkaya, T. (1977, December). In line and transverse forces on cylinders in oscillatory flow at high reynolds numbers. Journal of Ship Research Vol. 21(4), 200–216.Google Scholar
Sarpkaya, T. and Isaacson, M. (1981). Mechanics of Wave Forces on Offshore Structures. New York: Van Nostrand Reinhold Co. Call No. (TC 1650.S26), xiv+651pp.Google Scholar
Saunders, H. E. (1957). Hydrodynamics in Ship Design: Vol. 1. New York: Society of Naval Architects and Marine Engineers.Google Scholar
Schlichting, H. (1968). Boundary Layer Theory (6th ed.). New York: McGraw-Hill. Call No. (TL 574.B6 S283), xix+748pp.Google Scholar
Schmidt, R. and Housen, K. (1995). Problem solving with dimensional analysis. The Industrial Physicist Vol. 1(1), 21–24.Google Scholar
Schwartz, L. W. (1974). Computer extension and analytic continuation of Stokes’ expansion for gravity waves. Journal of Fluid Mechanics Vol. 62, 553–578.Google Scholar
Sedov, L. I. (1959). Similarity and Dimensional Methods in Mechanics. New York: Academic Press. Call No. (QC131.Se29s), xvi+363pp.Google Scholar
Sokolnikoff, I. S. and Redheffer, R. M. (1966). Mathematics of Physics and Modern Engineering (2nd ed.). New York: McGraw-Hill. Call No. (QA 401.S64), xi+752pp.Google Scholar
Sommerfeld, A. (1949). Partial Differential Equations in Physics, Vol. 1 of Pure and Applied Mathematics. New York: Academic Press. Call No. (QA 3.P8), xi+335pp.Google Scholar
St. Denis, M. and Pierson, W. J. (1953). On the motions of ships in confused seas. Transactions: The Society of Naval Architects and Marine Engineers Vol. 61, 280–357.Google Scholar
Stakgold, I. (1979). Green’s Functions and Boundary Value Problems. New York: John Wiley & Sons. Call No. (QA 379.S72), xv+638pp.Google Scholar
Steele, C. (1994). Beams with and without elastic foundation. Mechanical Engineering, Stanford University.Google Scholar
Stokes, G. G. (1883). Mathematical and Physical Papers, Vol. 2. Cambridge University Press.Google Scholar
Stokes, G. G. (1849). On the Theory of Oscillatory Waves, Vol. 8, Also Mathematical and Physical Papers, Vol. 1. Cambridge (1880): Transactions of the Cambridge Philosophical Society. Call No. (GC 211.2 .M44).Google Scholar
Sundararaghavan, H. and Ertekin, R. C. (1997). Near -boom oil-slick instability criterion in viscous flows and the influence of free-surface boundary conditions. Journal of Offshore Mechanics and Arctic Engineering Vol. 119, 26–33.Google Scholar
Thomson, W. (1887). On stationary waves in flowing water. Philosophical Magazine 22 (Lord Kelvin).Google Scholar
Townsend, A. A. (1954, March). Turbulent friction on a flat plate. In Proceedings of the 7th International Congress on Ship Hydrodynamics. Oslo, Norway.Google Scholar
Tulin, M. P. (1999, September). Hydroelastic Scaling, Vol. II. Proceedings of 3rd International Workshop on Very Large Floating Structures, VLFS 1999.Google Scholar
Van Dyke, M. (1975). Perturbation Methods in Fluid Mechanics. Stanford, CA: The Parabolic Press. Call No. (QA 911.V3), ix+271pp.Google Scholar
Wehausen, J. V. (1971). The motion of floating bodies. Annual Review of Fluid Mechanics Vol. 3, 237–268.Google Scholar
Wehausen, J. V. and Laitone, E. V. (1960). Surface Waves, Vol. 9 of in Handbuch der Physik, Ed. S. Flugge. Berlin: Springer-Verlag. Call No. (QC 21.H191), 446–778pp.Google Scholar
Wehausen, J. V., Webster, W. C., and Yeung, R. W. (2016). Hydrodynamics of Ships and Offshore Systems. Lecture Notes for Course ME241. Berkeley, CA: University of California. Revised Edition, July.Google Scholar
Weinstock, R. (1952). Calculus of Variations. New York: McGraw-Hill. Reissued by Dover, NY, 1974.Google Scholar
White, F. M. (1974). Viscous Fluid Flow. New York: McGraw-Hill. Call No. (QA929.W48), xix+725pp.Google Scholar
Wiegel, R. L. (1964). Oceanographical Engineering. Englewood Cliffs: Prentice Hall. Call No. (GC 201.W5), xi+532pp.Google Scholar
Wilcox, D. C. (1993). Turbulence Modeling for CFD. La Canada, California: DCW Industries, Inc.Google Scholar
Wylie, C. R. (1975). Advanced Engineering Mathematics. New York: McGraw-Hill. Call No. (QA 401.W9), xii+937pp.Google Scholar
Yih, C. S. (1977). Fluid Mechanics. Michigan: West River Press. Call No. (QA 901.Y54), xviii+622pp.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×