Nonreflecting boundary conditions for discrete waves

作者：Carpio A^*; Tapiador B

来源：Journal of Computational Physics, 2010, 229(5): 1879-1896.

DOI：10.1016/j.jcp.2009.11.013

• Nonreflecting boundary conditions
• Green's functions
• Lattice models
• Discrete wave equations
• Transparent boundary conditions
• Absorbing boundary conditions
• Dirichlet-to-Neumann operators
• Molecular dynamics

We introduce a new class of nonreflecting boundary conditions for lattice models, which minimizes reflections at artificial boundaries. Exact integrodifferential boundary conditions for finite chains and half-spaces are obtained by means of Green's functions for initial value problems. Truncating the resulting integrals in time, we obtain absorbing boundary conditions. Numerical tests illustrate the ability of these conditions to suppress reflections.

• 出版日期2010-3-1