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A Time Domain Dual Reciprocity Precise Integration Method for Scalar Wave Propagation Problems
ZHOU Fenglin, WANG Weijia, LIAO Haiyang, LI Guang
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2020, 37 (1): 26-36.   DOI: 10.19596/j.cnki.1001-246x.8003
Abstract248)   HTML0)    PDF (4126KB)(1004)      
To avoid computation of multi-frequencies pressure in solution of frequency method, a dual reciprocity method (DRM) is applied to convert domain integral, which is related to derivatives of pressure over time, in boundary integral equation into boundary integral. Firstly, field points are collocated at all boundary nodes. With boundary condition, boundary quantities at boundary nodes can be represented linearly by quantities at domain nodes, which are applied for radial basis function interpolation and are arbitrarily distributed in DRM. Secondly, field points are further collocated at domain nodes. A system of ordinary differential equations (ODEs) of the second order is obtained. Thirdly, variation rate of pressure was introduced as an unknown quantity to reduce order of resulted ODEs. Finally, a precise integration method is adopted to solved the first ordered ODEs. Numerical examples demonstrated validity and stability of the method.
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