Far-field radiation characteristics of elastic waves and the elastodynamic radiation condition

1975 ◽  
Vol 31 (5) ◽  
pp. 363-375 ◽  
Author(s):  
T. H. Tan
Keyword(s):  
Elastic Waves ◽  
Radiation Condition ◽  
Far Field ◽  
Radiation Characteristics ◽  
Field Radiation

Numerical investigation on motion responses of a floating hemisphere over a sloping bottom

2021 ◽  
pp. 1-13
Author(s):  
Xiaolei Liu ◽  
Yiting Wang ◽  
Xuefeng Wang ◽  
Lei Wang ◽  
Quanming Miao
Keyword(s):  
Green Function ◽  
Hybrid Model ◽  
Fluid Dynamic ◽  
Surface Condition ◽  
Radiation Condition ◽  
Finite Depth ◽  
Wave Pattern ◽  
Far Field ◽  
Field Radiation ◽  
Sloping Bottom

Abstract In the last several decades, some numerical approaches have been proposed to deal with 3D wave-body interaction problems in sloping bottom environment. Most of them either adopt the finite depth Green function or add numerical damping terms into the free surface condition to treat far field radiation condition, which certainly give rise to numerical errors. The hybrid model [1] adopting the consistent coupled-mode system for incident wave propagation problem combining with the three-dimensional bottom-dependent Green function to treat the diffraction and radiation problem is a complete formulation, as the latter function appropriately characterise the far field radiation wave pattern over a smoothly sloping bottom. However, this model has not been validated after its publication. In this connection, comparisons with Computational Fluid Dynamic (CFD) results are presented to verify its accuracy. Application of this hybrid model is also performed to investigate the effects on the floating hemisphere by the sloping bottom.

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