## Proceedings of the ... International Conference on Offshore Mechanics and Arctic Engineering, Volume 1, Parts 1-2American Society of Mechanical Engineers, 2004 - Arctic regions |

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Page 742

Using an interaction function ( Kernel function ) , these points can be used to

discretise partial differential

be solved are Navier - Stokes

Using an interaction function ( Kernel function ) , these points can be used to

discretise partial differential

**equations**... For free surface flows , the**equations**tobe solved are Navier - Stokes

**equations**( 1 , 2 ) and an**equation**of state for the ...Page 778

co = 0 ( 1 ) In this

. When the number of particles in a unit volume is denoted by < N > in the relation

between < n > and < N > , is written by next

co = 0 ( 1 ) In this

**equation**, the contribution from particle i itself is not considered. When the number of particles in a unit volume is denoted by < N > in the relation

between < n > and < N > , is written by next

**equation**. Du = _ L0P + f ( 2 ) Dtp ...Page 1073

The modified integral

Jls , GdS ) • ICF ) + Slsplatno ( 7 ) ... Ôn It can be seen that the

involves an integral over the free surface Sf . This is because the Green function

G ...

The modified integral

**equation**for the second order radiation potentials is ( 1 - v *Jls , GdS ) • ICF ) + Slsplatno ( 7 ) ... Ôn It can be seen that the

**equation**aboveinvolves an integral over the free surface Sf . This is because the Green function

G ...

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### Contents

PART | 595 |

000000000000000000000000000000000000000000 | 605 |

OFFSHORE TECHNOLOGY | 608 |

Copyright | |

29 other sections not shown

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added amplitude analysis angle applied approach ASME assumed barge bending boundary buoy calculated capacity coefficient combined components computed connection considered Copyright corresponding damage damping deck depth determined developed diameter direction displacement dynamic effect element Engineering equation estimated event factor fatigue field Figure force FPSO frequency function given height horizontal hull iceberg impact increase installation jacket joint length limit linear load marine mass maximum mean measured method model tests mooring mooring lines mooring system motion natural numerical obtained Offshore operation parameters performed period pile pitch platform position possible potential predicted presented pressure problem range relative response riser shear ship shown shows simulations skirt solution spar speed strength stress structure surface Table tank tension trench values velocity vertical vessel wall wave wind