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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

  • Acoustic Methods
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Abstract

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.

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Authors and Affiliations

  1. Institute of Metal Physics, Ural Division, Russian Academy of Sciences, ul. Sof’i Kovalevskoi 18, Yekaterinburg, 620041, Russia

    V. A. Barkhatov

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Original Russian Text © V.A. Barkhatov, 2009, published in Defektoskopiya, 2009, Vol. 45, No. 6, pp. 58–75.

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Barkhatov, V.A. 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. Russ J Nondestruct Test 45, 410–424 (2009). https://doi.org/10.1134/S1061830909060059

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  • DOI: https://doi.org/10.1134/S1061830909060059

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