Proceedings of the ... International Conference on Offshore Mechanics and Arctic Engineering, Volumes 1-2American Society of Mechanical Engineers, 1991 - Arctic regions |
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Page 73
... EQUATIONS IN CURVILINEAR COORDI- NATE SYSTEM In the discrete vortex model it is con- venient to describe the flow by the Poisson equation and the vorticity transport equa- tion instead of the continuity equation and Navier - Stokes equation ...
... EQUATIONS IN CURVILINEAR COORDI- NATE SYSTEM In the discrete vortex model it is con- venient to describe the flow by the Poisson equation and the vorticity transport equa- tion instead of the continuity equation and Navier - Stokes equation ...
Page 275
... equation ( 2 ) , expressing the dynamic boundary condition of free surface . is substituted to equation ( 11 ) . the following equation is obtained : mean where ( at ) = ( a / at ) . In these expressions , and j + 1 subscripts j that ...
... equation ( 2 ) , expressing the dynamic boundary condition of free surface . is substituted to equation ( 11 ) . the following equation is obtained : mean where ( at ) = ( a / at ) . In these expressions , and j + 1 subscripts j that ...
Page 510
... equation , equation ( 5 ) . The solution is considered only to a first approximation . Follow the averaging method ( see e.g. Minorsky [ 9 ] for further details ) f = â cos ( t + ô ) − ( 29 ) . âq 8 3 ( +6 ) } { cos 2ê cos 3 ( t + ê ) ...
... equation , equation ( 5 ) . The solution is considered only to a first approximation . Follow the averaging method ( see e.g. Minorsky [ 9 ] for further details ) f = â cos ( t + ô ) − ( 29 ) . âq 8 3 ( +6 ) } { cos 2ê cos 3 ( t + ê ) ...
Contents
VORTEX SHEDDING AND VIBRATION | 187 |
OCEAN WAVES AND CURRENT | 209 |
COMPUTATIONAL METHODS | 247 |
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added mass amplitude analysis approximately average body boundary condition cable calculated circular cylinder components computed correlation density diffraction displacement distribution drag coefficient dynamic effects Ekofisk Engineering experimental field Figure finite element floating flow fluid free surface frequency domain function Green function horizontal hydrodynamic hydrodynamic forces incident wave integral equation irregular waves length lift force linear load low-frequency matrix maximum measured method mode mode shapes mooring motion natural frequency nonlinear obtained Ocean Offshore Structures OMAE open boundary oscillation parameters phase velocity platform predicted present pressure problem random waves ratio response Reynolds number riser Sarpkaya seabed second-order ship simulation small forward solitary wave solution spectral spectrum stiffness surge tank tanker tension tether theory transverse values vector velocity potential vertical vessel vibration vortex vortices water depth wave drift damping wave forces wave height wave profile