Modeling of Ultrasonic Waves by the Finite-Difference Method in the Time Domain: A Two-Dimensional Problem: Optimal Algorithms, Analysis of Errors, and Absorbing Ranges near the Grid Boundaries

被引：7

作者：

Barkhatov, V. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Met Phys, Ural Div, Ekaterinburg 620041, Russia

来源：

RUSSIAN JOURNAL OF NONDESTRUCTIVE TESTING | 2009年 / 45卷 / 06期

关键词：

PERFECTLY MATCHED LAYER; HETEROGENEOUS MEDIA; ELASTIC MEDIA; PROPAGATION; SIMULATION; STABILITY;

D O I：

10.1134/S1061830909060059

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

Different variants of the finite-difference time-domain method are discussed. The velocity-stress tensor algorithm is considered using high-order finite-difference schemes. Analysis of errors is carried out with computational experiments. A technique for separating longitudinal and transverse waves in the results of calculation is proposed that makes it possible to map images in different colors. Questions of how to create absorbing regions near the grid boundaries are discussed.

引用

页码：410 / 424

页数：15

共 32 条

[1] Solution of dynamic problems of acoustics by the finite-difference method in the time domain: Basic relationships and analysis of errors [J].

Barkhatov, VA .

RUSSIAN JOURNAL OF NONDESTRUCTIVE TESTING, 2005, 41 (03) :142-153

[2]

BARKHATOV VA, RUSS J NONDESTRUCT T, V43, P605

[3]

COHEN G, 1990, COMP METH APPL MECH, P397

[4] Generalized perfectly matched layer for the absorption of propagating and evanescent waves in lossless and lossy media [J].

Fang, JY ;

Wu, ZH .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1996, 44 (12) :2216-2222

[5] NONREFLECTING BOUNDARY-CONDITIONS [J].

GIVOLI, D .

JOURNAL OF COMPUTATIONAL PHYSICS, 1991, 94 (01) :1-29

[6]

GOHEN G, 2000, J COMPUT ACOUST, P171

[7]

Graves RW, 1996, B SEISMOL SOC AM, V86, P1091

[8] Application of the perfectly matched layer (PML) absorbing boundary condition to elastic wave propagation [J].

Hastings, FD ;

Schneider, JB ;

Broschat, SL .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1996, 100 (05) :3061-3069

[9]

HESTHAVEN J, 2002, J COMPUT PHYS, P221

[10] ABSORBING BOUNDARY-CONDITIONS FOR DIFFERENCE APPROXIMATIONS TO THE MULTIDIMENSIONAL WAVE-EQUATION [J].

HIGDON, RL .

MATHEMATICS OF COMPUTATION, 1986, 47 (176) :437-459

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