Application of boundary element method to a shallow water mode

2008 ◽  
pp. 371-372
Author(s):  
Bin Li ◽  
Michael G. Smith ◽  
ULF T. Ehrenmark ◽  
Peter S. Williams
Keyword(s):  
Boundary Element Method ◽  
Shallow Water ◽  
Boundary Element ◽  
Element Method

Spectral boundary element method for shallow water waves

2019 ◽  
Author(s):  
Rupali ◽  
Gulshan ◽  
Prashant Kumar
Keyword(s):  
Boundary Element Method ◽  
Shallow Water ◽  
Boundary Element ◽  
Water Waves ◽  
Shallow Water Waves ◽  
Element Method

scholarly journals Development and Application of a Pre-Corrected Fast Fourier Transform Accelerated Multi-Layer Boundary Element Method for the Simulation of Shallow Water Acoustic Propagation

2020 ◽  
Vol 10 (7) ◽  
pp. 2393
Author(s):  
Chengxi Li ◽  
Jijian Lian
Keyword(s):  
Boundary Element Method ◽  
Shallow Water ◽  
Boundary Element ◽  
Sound Propagation ◽  
Water Environment ◽  
Equation System ◽  
Linear Equation System ◽  
Shallow Water Environment ◽  
Classical Boundary ◽  
Element Method

Because of the complexities associated with the domain geometry and environments, accurate prediction of acoustics propagation and scattering in realistic shallow water environments by direct numerical simulation is challenging. Based on the pre-corrected Fast Fourier Transform (PFFT) method, we accelerated the classical boundary element method (BEM) to predict the acoustic propagation in a multi-layer shallow water environment. The classical boundary element method formulate the acoustics propagation problem as a linear equation system in the form of [A]{x}={b}, where [A] is an N×N dense matrix composed of influence coefficients. Solving such linear equation system requires O(N2/N3) computational cost for iterative/direct methods. The developed method, PFFT-BEM, can effectively reduce the computational efforts for direct numerical simulations from O(N2~3) to O(Nlog N), where N is the total number of boundary unknowns. To numerically simulate the sound propagation in a shallow water environment, we applied the first-order non-reflecting boundary condition in the truncated numerical domain boundary to eliminate the errors due to reflected waves. Multi-layer coupled formulation was used to include the environment inhomogeneity in PFFT-BEM. Through multiple convergence tests on the number of layers and elements, we validated and quantified the accuracy of PFFT-BEM. To demonstrate the usefulness and capability of the developed PFFT-BEM, we simulated three-dimensional (3D) underwater sound propagation through 3D geometries to check the efficacy of the established classical method: the 3D Parabolic equation model. Finally, PFFT-BEM was employed to simulate sound propagation through a complex multi-layer shallow water environment with internal waves. The “3D+T” results obtained by PFFT-BEM compared well with the physical test, thereby proving the capability and correctness of this method.

A hybrid boundary element method for shallow water acoustic propagation over an irregular bottom

1998 ◽  
Vol 21 (2) ◽  
pp. 131-145 ◽  
Author(s):  
Stéphan Grilli ◽  
Torstein Pedersen ◽  
Peter Stepanishen
Keyword(s):  
Boundary Element Method ◽  
Shallow Water ◽  
Boundary Element ◽  
Acoustic Propagation ◽  
Element Method

A BOUNDARY-ELEMENT METHOD FOR ATOMIZATION OF A FINITE LIQUID JET

1995 ◽  
Vol 5 (6) ◽  
pp. 621-638 ◽  
Author(s):  
J. H. Hilbing ◽  
Stephen D. Heister ◽  
C. A. Spangler
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Liquid Jet ◽  
Element Method
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