Abstract
The problem of accelerating algorithms is considered for calculating the effects of diffraction, nonlinearity, and absorption in modeling high-intensity ultrasonic beams using the nonlinear Westervelt equation. The results from calculations using graphics accelerators (graphical processing units) are compared to ones obtained with a central processing unit. The performance of the algorithm is analyzed as a function of the parameters of the input data.
Similar content being viewed by others
REFERENCES
Beili, M.R., Khokhlova, V.A., Sapozhnikov, O.A., et al., Acoust. Phys., 2003, vol. 49, no. 4, p. 369.
Rosnitskiy, P.B., Yuldashev, P.V., Sapozhnikov, O.A., et al., IEEE Trans. Ultrason., Ferroelectr., Freq. Control, 2017, vol. 64, no. 2, p. 374.
Westervelt, P.J., J. Acoust. Soc. Am., 1963, vol. 35, no. 4, p. 535.
Kreider, W., Yuldashev, P.V., Sapozhnikov, O.A., et al., IEEE Trans. Ultrason., Ferroelectr., Freq. Control, 2013, vol. 60, no. 8, p. 1683.
Okita, K., Ono, K., Takagi, S., and Matsumoto, Y., Int. J. Numer. Methods Fluids, 2010, vol. 65, nos. 1–3, p. 43.
Ames, W.F., Numerical Methods for Partial Differential Equations, San Diego: Academic, 1992.
Yuldashev, P.V. and Khokhlova, V.A., Acoust. Phys., 2011, vol. 57, no. 3, p. 334.
Perepelkin, E.E., Sadovnikov, B.I., and Inozemtseva, N.G., Vychisleniya na graficheskikh protsessorakh (GPU) v zadachakh matematicheskoi i teoreticheskoi fiziki (Computing Using Graphic Processors (GPU) in Problems of Mathematical and Theoretical Physics), Moscow: Lenand, 2014.
Konnova, E.O., Yuldashev, P.V., and Khokhlova, V.A., in Sb. tr. XVII Vseross. shkoly-seminara “Volny-2019” (Proc. XVII All-Russian School-Seminar “Waves-2019”), Moscow, 2019, p. 10.
Kashcheeva, S.S., Sapozhnikov, O.A., Khokhlova, V.A., et al., Acoust. Phys., 2000, vol. 46, no. 2, p. 170.
Kalitkin, N.N., Chislennye metody (Numerical Methods), Moscow: Nauka, 1978.
Mezdrokhin, I.S., Yuldashev, P.V., and Khokhlova, V.A., Acoust. Phys., 2018, vol. 64, no. 3, p. 309.
Zemp, R.J., Tavakkoli, J., and Cobbold, R.S.C., J. Acoust. Soc. Am., 2003, vol. 113, no. 1, p. 139.
Neil, H.T., J. Acoust. Soc. Am., 1949, vol. 21, no. 5, p. 516.
Funding
This work was supported by the Russian Foundation for Basic Research, project no. 20-32-70142.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by I. Obrezanova
About this article
Cite this article
Konnova, E.O., Yuldashev, P.V. & Khokhlova, V.A. Using Graphics Accelerators in Modeling Nonlinear Ultrasonic Beams on the Basis of the Westervelt Equation. Bull. Russ. Acad. Sci. Phys. 85, 632–636 (2021). https://doi.org/10.3103/S1062873821060125
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1062873821060125