Second-order boundary element method calculations of hydrodynamic interactions between particles in close proximity

1992 ◽  
Vol 14 (9) ◽  
pp. 1063-1086 ◽  
Author(s):  
Chiu Y. Chan ◽  
Antony N. Beris ◽  
Suresh G. Advani
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Second Order ◽  
Hydrodynamic Interactions ◽  
Close Proximity ◽  
Element Method

scholarly journals A Technique to Remove Second Order Singularity Application in the Boundary Element Method for Elastoplasticity Plane Stress Analysis

2010 ◽  
Vol 8 (1) ◽  
Author(s):  
S.A. Bakar ◽  
A.L. Saleh
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Second Order ◽  
Timber Beam ◽  
Singularity Problem ◽  
Strain Formulation ◽  
Incremental Formulation ◽  
Plastic Stage ◽  
Plane Stress Analysis ◽  
Element Method

This paper presents a technique to establish the strain incremental formulation in the boundary element method applied to elastoplasticity problem. In this technique, the application of second order singularity problem is avoided, and only first order singularity problem is sufficient. The proposed technique is applied to analyse a timber beam structure at the plastic stage. The solution is compared with existing strain formulation method proposed by established publication. The result gives an improved solution compared with the existing method. The proposed technique is a simplified formulation where there is no second order singularity involved in the formulation.

Boundary Element Method for Fluid-Structure Interaction Problems in Liquid Storage Tanks

1989 ◽  
Vol 111 (4) ◽  
pp. 435-440 ◽  
Author(s):  
I.-T. Hwang ◽  
K. Ting
Keyword(s):  
Finite Element ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Storage Tank ◽  
Hydrodynamic Interactions ◽  
Tank Wall ◽  
Liquid Storage ◽  
Liquid Storage Tank ◽  
Elastic Tank ◽  
Element Method

The dynamic response of liquid storage tank, including the hydrodynamic interactions, subjected to earthquake excitations is studied by the combinations of boundary element method and finite element procedure in this paper. The tank wall and inviscid fluid domain are treated as two substructures of the total system-coupled through the hydrodynamic pressures. The boundary element method is employed to determine the hydrodynamic pressures associated with small amplitude excitations and negligible surface wave effects in fluid domain which are expressed as the frequency-dependent terms related with the natural vibration modes of elastic tank alone. These terms are incorporated into the finite element formulation of elastic tank in frequency domain and the generalized displacements are computed by synthesizing their complex frequency response using Fast-Fourier Transform procedure. Thus, the hydrodynamic interactions between the elastic flexible tank wall and the fluid are then solved. To demonstrate the accuracy and validity of the solution procedure developed herein, numerical examples are analyzed. Good correlations between the computed results with the referenced solutions in literature can be noted. The effects of fluid compressibility and tank flexibility are also evaluated in this work. Finally, the dynamic response of liquid storage tank due to seismic excitations is also analyzed.

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