Simulation of dynamic processes in spherical and cylindrical shells

Автор: Kuropatenko Valentin Fedorovich, Andreyev Yuriy Nikolaevich

Журнал: Вычислительная механика сплошных сред @journal-icmm

Статья в выпуске: 4 т.3, 2010 года.

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Differences between the results obtained in the numerical simulation of dynamic processes that occur in continua and the results obtained in physical experiments come from an error of three types: an error in the physical model (∆Ph), an error in the mathematical model (∆M), and a measurement error (∆m). The paper focuses on the comparison of ∆ M and ∆ Ph сonsidering a medium placed in a spherically symmetric shell as an example. It is shown that within a certain velocity range the energy dissipation defined by an error in a finite-difference approximation may exceed the energy dissipation generated by a perfect plasticity model.

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Mathematical modeling, difference scheme, entropy generation, von neumann-richtmyer viscosity, kuropatenko method, converging and diverging shells, perfect plasticity

Короткий адрес: https://sciup.org/14320533

IDR: 14320533

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