Discrete asymptotic equations for long wave propagation S. Bellec, M. Colin and M. Ricchiuto Team CARDAMOM, Inria Bordeaux - Sud-Ouest, Avenue de la Vieille Tour, Talence cedex - France Institut de Math ematiques de Bordeaux, cours de la Lib eration, Talence cedex - France Bordeaux INP, UMR , F,Talence, France Abstract. {42} R.L. Higdon, Numerical absorbing boundary conditions for the wave equation, Math. Comput. 49 () Google Scholar Cross Ref {43} R.L Higdon, Radiation boundary conditions for elastic wave propagation, SIAM J. Numer. Anal. 27 () Google Scholar Digital LibraryAuthor: GivoliDan, NetaBeny. Discrete wave simulation - absorbing boundaries? Ask Question Therefore any attempt to impose a local boundary condition must exhibit some reflection. Nevertheless, some treatments are better than others. Browse other questions tagged boundary-conditions discretization numerical-modelling wave-propagation or ask your own question. Time-varying medium scattering effect. The interaction of waves and static matter has been widely explored since the early days of physics. In recent years, the interaction of waves with non-stationary med whose mass density and wave velocity are assumed to be time-varying, has raised considerable this letter, we propose a new kind of time-varying medium, Cited by:

optimal absorbing boundary condition designed in this paperyields about 10 dB smaller in magnitudeofreflection coefficients than Higdon'sabsorbing boundary condition, and around 20 dB smaller than Reynolds' absorbing boundary condition. This conclusion is supported by a simulation of elastic wave propagation in a 3D medium on an nCUBE parallel. A Priori Error-Controlled Simulations of Electromagnetic Phenomena for HPC. these systems are hyperbolic with propagation length scales that are many orders of magnitude greater than the wavelength. 8. V. Ryaben"kii, S. Tsynkov, and V. Turchaninov, Global discrete artificial boundary conditions for time-dependent wave propagation, J. Absorbing Boundary Conditions for the Numerical Simulation of Waves. Mathematics of Computation, Vol. 31, No. , D. Duran. Numerical Methods for Fluid Dynamics - With Applications to Geophysics, second edition, Springer, D. Givoli and B. Neta. High-order Non-reflecting Boundary Scheme for Time-dependent Waves. In this work, a conceptual numerical solution of the two-dimensional wave partial differential equation (PDE) is developed by coupling the Complex Variable Boundary Element Method (CVBEM) and a generalized Fourier series. The technique described in this work is suitable for modeling initial-boundary value problems governed by the wave equation on a rectangular domain with Dirichlet boundary Author: Bryce D. Wilkins, Theodore V. Hromadka, Randy Boucher.

A wave is one of the basic physics phenomena observed by mankind since ancient time. The wave is also one of the most-studied physics phenomena that can be well described by mathematics. The study may be the best illustration of what is “science”, which approximates the laws of nature by using human defined symbols, operators, and languages. Cited by: 3. We investigate the dynamics of steps along a phase boundary in a cubic lattice undergoing antiplane shear deformation. The phase transition is modeled by assuming piecewise linear stress–strain law with respect to one component of the shear strain, while the material response to the other component is linear. In the first part of the paper we have constructed . The U.S. Department of Energy's Office of Scientific and Technical Information. Prior to this, Kristek et al. introduced a fully fourth-order method for seismic wave propagation problems based on one-sided stencils for the free-surface boundary of the half-space, and that approach was subsequently extended to the spontaneous rupture problem by Kristek et al. and Moczo et al.. The main difference between our method and that Cited by: