A meshless method for 3-D wave propagation problems

Author

Li, Kun ; Huang, Qibai ; Lin, Liguang

Author_Institution

State Key Lab. of Digital Manuf. Equip. & Technol., Huazhong Univ. of Sci. & Technol., Wuhan, China

fYear

2010

fDate

27-30 Sept. 2010

Firstpage

196

Lastpage

200

Abstract

This paper formulates a radial basis function (RBF) meshless method for the numerical simulation of the wave propagation problems which are governed by the second-order wave equation. The spatial derivatives are approximated by RBF collocation technique whereas the temporal derivatives are discretized using the generalized trapezoidal method. Corresponding boundary conditions are enforced analytically at a discrete set of boundary nodes. The performances of the present method are demonstrated through their application to a wave propagation problem.

Keywords

numerical analysis; wave equations; wave propagation; 3D wave propagation problems; boundary conditions; boundary nodes; generalized trapezoidal method; numerical simulation; radial basis function meshless method; second-order wave equation; spatial derivatives; temporal derivatives; Accuracy; Approximation methods; Boundary conditions; Finite element methods; Nickel; Numerical simulation; Propagation; Meshless method; Radial basis function; Wave equation; generalized trapezoidal method;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2010 Xvth International Seminar/Workshop on

Conference_Location

Tbilisi

Print_ISBN

978-1-4244-7790-6

Electronic_ISBN

978-966-02-5654-5

Type

conf

Filename

5623889