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USE OF HAMILTONIAN DYNAMICS METHODS IN COMPUTATIONAL CONTINUUM MECHANICS

V. N. Sofronov, M. V. Vetchinnikov, M. A. Dyemina
VANT. Ser.: Mat. Mod. Fiz. Proc 2020. Вып.4. С. 5-21.

The paper presents a computational continuum mechanics method based on discrete Hamiltonian dynamics. Hamilton’s equations are numerically solved using symplectic difference schemes. Examples of dissipation-free process simulations are provided.

Keywords: discrete Hamiltonian dynamics, phase volume, symplectic difference schemes, dynamic elasticity problems, MoDyS software package.







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