Title :
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
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;
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
