Second-order Godunov algorithm for two-dimensional solid mechanics

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[1] Trangenstein, John A.
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Trangenstein, John A. | 1600年 / Publ by Springer-Verlag GmbH & Company KG, Berlin 33, Germany卷 / 13期
关键词：
Approximation theory - Computational complexity - Convergence of numerical methods - Deformation - Equations of motion - Equations of state - Finite element method - Mechanics - Solids - Wave transmission;
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摘要：
The second-order Godunov method is extended to dynamic wave propagation in two-dimensional solids undergoing nonlinear finite deformation. It is shown that this explicit method is linearly stable for timesteps satisfying the standard CFL condition, does not support the development of hourglass modes, and handles non-reflecting boundaries very naturally. The computational cost is essentially one evaluation of the kinetic equation of state per cell and timestep, the same as explicit finite element methods employing reduced quadrature.
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