Second-order Godunov algorithm for two-dimensional solid mechanics

被引：0
|
作者：
机构：
[1] Trangenstein, John A.
来源：
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;
D O I：
暂无
中图分类号：
学科分类号：
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.
引用
收藏
相关论文
共 50 条
  • [41] Second-Order Potentials and Forces for Two-Dimensional Diffraction Problem of Finite Water Depth
    Duan Wenyang and He Wuzhou Graduate student
    ChinaOceanEngineering, 1994, (03) : 321 - 330
  • [42] Simultaneous optical wavelength interchange with a two-dimensional second-order nonlinear photonic crystal
    Chowdhury, A
    Hagness, SC
    McCaughan, L
    OPTICS LETTERS, 2000, 25 (11) : 832 - 834
  • [43] Intrinsic second-order topological insulators in two-dimensional polymorphic graphyne with sublattice approximation
    Chen, Zhongjia
    Xu, Shaogang
    Xie, Zijuan
    Xu, Hu
    Weng, Hongming
    NPJ QUANTUM MATERIALS, 2024, 9 (01)
  • [44] Conservative second-order monotonic numerical method for solving two-dimensional continuity equation
    Shaydurov, Vladimir V.
    Vyatkin, Aleksandr V.
    Cherednichenko, Olga M.
    RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2025, 40 (01) : 47 - 59
  • [45] On the second-order correction to velocity covariance for two-dimensional statistically isotropic porous media
    Hsu, KC
    Lamb, GL
    WATER RESOURCES RESEARCH, 2000, 36 (01) : 349 - 353
  • [46] Solutions of a Hamiltonian system with two-dimensional control in a neighbourhood of a singular second-order extremal
    Ronzhina, M., I
    Manita, L. A.
    Lokutsievskiy, L., V
    RUSSIAN MATHEMATICAL SURVEYS, 2021, 76 (05) : 936 - 938
  • [47] Simulation of Two-Dimensional Transport Processes Using Nonlinear Monotone Second-Order Schemes
    V. V. Akimenko
    Cybernetics and Systems Analysis, 2003, 39 (6) : 839 - 853
  • [48] Second-order dual fermion approach to the Mott transition in the two-dimensional Hubbard model
    van Loon, Erik G. C. P.
    Katsnelson, Mikhail, I
    Hafermann, Hartmut
    PHYSICAL REVIEW B, 2018, 98 (15)
  • [49] Corner states in second-order two-dimensional topological photonic crystals with reversed materials
    Jin, Meng-Cheng
    Gao, Yong-Feng
    Lin, Hao-Zhe
    He, Yi-Han
    Chen, Ming-Yang
    PHYSICAL REVIEW A, 2022, 106 (01)
  • [50] Two-dimensional direction of arrival estimation for distributed source based on second-order statistics
    Han Y.-H.
    Wang J.-K.
    Zhao Q.
    Song X.
    Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, 2011, 33 (03): : 486 - 489
12345