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Numerical simulation of dynamic processes in biomechanics using the grid-characteristic method

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Abstract

Results of the numerical simulation of mechanical processes occurring in biological tissues under dynamic actions are presented. The grid-characteristic method on unstructured grids is used to solve the system of equations of mechanics of deformable solids; this method takes into account the characteristic properties of the constitutive system of partial differential equations and produces adequate algorithms on interfaces between media and on the boundaries of integration domains.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

    K. A. Beklemysheva & A. V. Vasyukov

  2. Institute of Numerical Mathematics, ul. Gubkina 8, Moscow, 119333, Russia

    I. B. Petrov

Authors
  1. K. A. Beklemysheva
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  2. A. V. Vasyukov
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  3. I. B. Petrov
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Corresponding authors

Correspondence to K. A. Beklemysheva, A. V. Vasyukov or I. B. Petrov.

Additional information

Original Russian Text © K.A. Beklemysheva, A.V. Vasyukov, I.B. Petrov, 2015, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2015, Vol. 55, No. 8, pp. 1380–1390.

In blessed memory of Professor A.P. Favorskii

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Beklemysheva, K.A., Vasyukov, A.V. & Petrov, I.B. Numerical simulation of dynamic processes in biomechanics using the grid-characteristic method. Comput. Math. and Math. Phys. 55, 1346–1355 (2015). https://doi.org/10.1134/S0965542515080047

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  • DOI: https://doi.org/10.1134/S0965542515080047

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