Global discrete artificial boundary conditions for time-dependent wave propagation



Publisher: National Aeronautics and Space Administration, Langley Research Center, Publisher: Available from NASA Center for AeroSpace Information in Hampton, Va, Hanover, MD

Written in English
Published: Downloads: 93
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Subjects:

  • Algorithms.,
  • Boundary conditions.,
  • Wave propagation.,
  • Numerical analysis.

Edition Notes

StatementV.S. Ryaben"kii, S.V. Tsynkov, V.I. Turchaninov.
SeriesICASE report -- no. 2001-14., [NASA contractor report] -- NASA/CR-2001-210872., NASA contractor report -- NASA CR-210872.
ContributionsTsynkov, S. V., Turchaninov, V. I., Langley Research Center.
The Physical Object
FormatMicroform
Pagination1 v.
ID Numbers
Open LibraryOL16050917M

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:

Global discrete artificial boundary conditions for time-dependent wave propagation Download PDF EPUB FB2

Global Discrete Artificial Boundary Conditions for Time-Dependent Wave Propagation Author links open overlay panel V.S. Ryaben'kii a 1 S.V. Tsynkov b Cited by: GLOBAL DISCRETE ARTIFICIAL BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVE PROPAGATION* V.

RYABEN'KII?, S. TSYNKOV §I, AND V. TURCHANINOV 11 Abstract. We construct global artificial boundary conditions (ABCs) for ttle numericM simulation of wave processes on unbounded domains using a special non-deteriorating algorithm that has.

Global Discrete Artificial Boundary Conditions for Time-dependent Wave Propagation V.S. Ryaben’kii Keldysh Institute for Applied Mathematics, Moscow, Russia S.V. Tsynkov North Carolina State University, Raleigh, North Carolina and Tel Aviv University, Tel Aviv, Israel V.I. Turchaninov Keldysh Institute for Applied Mathematics, Moscow, Russia.

construction of the global finite-difference lacunae-based ABCs and briefly comment on how the proposed construction fits into the general framework of discrete time-dependent boundary conditions developed by Ryaben’kii in [26].

Section 5 contains an extensive set of numerical experiments with the new ABCs for the wave equation. The experiments. Global Discrete Artificial Boundary Conditions for Time-Dependent Wave Propagation Article in Journal of Computational Physics (2) December with 8 Reads How we measure 'reads'.

We construct global artificial boundary conditions (ABCs) for the numerical simulation of wave processes on unbounded domains using a special nondeteriorating algorithm that has been developed previously for the long-term computation of wave-radiation solutions.

The ABCs are obtained directly for the discrete formulation of the problem; in so doing, neither a rational. Global Discrete Artificial Boundary Conditions for Time-Dependent Wave Propagation. By V. Turchaninov, V.

Ryabenkii, Dennis M. Bushnell and S. Tsynkov. Abstract. We construct global artificial boundary conditions (ABCs) for the numerical simulation of wave processes on unbounded domains using a special non-deteriorating algorithm that.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We construct global artificial boundary conditions (ABCs) for the numerical simulation of wave processes on unbounded domains using a special non-deteriorating algorithm that has been developed previously for the long-term computation of wave-radiation solutions.

Global Discrete Artificial Boundary Conditions for Time-dependent Wave Propagation. By V. Turchaninov, V. Ryaben&apos, V. Ryaben&apos and S. Tsynkov. Abstract. We construct global artificial boundary conditions (ABCs) for the numerical simulation of wave processes on unbounded domains using a special non-deteriorating algorithm.

Summary. Artificial boundary conditions (ABCs) are constructed for the computation of unsteady acoustic and electromagnetic waves.

The waves propagate from a source or a scatterer toward infinity, and are simulated numerically on a truncated domain, while the ABCs provide the required closure at the external artificial : Semyon V.

Tsynkov, Semyon V. Tsynkov. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We construct global artificial boundary conditions (ABCs) for the numerical sim-ulation of wave processes on unbounded domains using a special nondeteriorating algorithm that has been developed previously for the long-term computation of wave-radiation solutions.

Abstract. Exact nonreflecting boundary conditions for time dependent acoustic, electro-magnetic, and elastic waves are reviewed. These boundary conditions are global over the artificial boundary, but local in : Marcus J.

Grote. The resulting artificial boundary condition is stable itself in time domain, whereas the time-domain instability of the artificial boundary condition coupled with the finite element method is found for the foundation vibration recently and for the wave propagation by: 5.

() Global Discrete Artificial Boundary Conditions for Time-Dependent Wave Propagation. Journal of Computational Physics() Accurate radiation boundary conditions for the two-dimensional wave equation on unbounded by: This paper presents a time-dependent semi-analytical artificial boundary for numerically simulating elastic wave propagation problems in a two-dimensional homogeneous half space.

A polygonal boundary is considered in the half space to truncate the semi-infinite domain, with an appropriate boundary condition by: 4. Global discrete artificial boundary conditions for time-dependent wave propagation Author: V S Ri︠a︡benʹkiĭ ; Semyon V Tsynkov ; V I Turchaninov ; Langley Research Center.

Global Discrete Artificial Boundary Conditions for Time-Dependent Wave Propagation. Journal of Computational Physics, Vol. Issue. 2, p. Cited by: ALPERT, GREENGARD, AND HAGSTROM 2. EXACT NONREFLECTING BOUNDARY CONDITIONS Let us consider the wave equation u tt = c2 u (1) in the exterior domain R3\, where is a finite region supported in the slab −a conditions u(x, y,z,t) = 0 t ≤ 0, u t(x, y,z,t) = 0 and inhomogeneous Dirichlet conditions on the boundary File Size: KB.

Linear and Nonlinear Boundary Conditions for Wave Propagation Problems Jan Nordstrom¨ Abstract We discuss linear and nonlinear boundary conditions for wave propaga-tion problems. The concepts of well-posedness and stability are discussed by con-sidering a specific example of a boundary condition occurring in the modeling of earthquakes.

Boundary conditions for wave propagation problems J.M. Carcione* Osservatorio Geo)qsico Sperimentale, P.O. Box Opicma, Trieste, hair Abstract Wave propagation simulation requires a correct implementation of boundary conditions to avoid numerical instabil- Size: KB.

This work presents exact nonreflecting boundary conditions at artificial boundaries for the numerical solution of the Helmholtz equation and the time dependent wave equation in unbounded domains. Here, the boundary conditions reflect the frequency distribution at the boundary. We described the analytic solutions and calculated the relationship between the boundary conditions and the wave propagation for a one-dimensional model of the continuous oscillatory field and a discrete coupled oscillator by: 1.

A numerical tour of wave propagation Pengliang Yang Clayton-Enquist boundary condition To simulate the wave propagation in the in nite space, the absorbing boundary con-dition (ABC), namely the proximal approximation (PA) boundary condition, was.

Pengliang Yang 7 Primer for wave propagation proposed in Clayton and Engquist () and Author: P. Yang. the solution to the time-dependent problem () by traces of U, ∂nUor ∂tU on B×I[56], and of the solution to the stationary problem (), () by traces of uor ∂nuon B[84]. There are many methods for the numerical solution of wave propagation problems in unbounded domains, see the monograph [26] for an overview.

OSINTCEV AND S. TSYNKOV, Computational complexity of artificial boundary conditions for Maxwell's equations in the FDTD method, in: Book of Abstracts, The 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVESUniversity of Minnesota, Twin Cities, MN, May, pp.

Absorbing boundary conditions and perfectly matched layers in wave propagation problems Frédéric Nataf Abstract. In this article we discuss different techniques to solve numerically wave propagation phenomena in unbounded domains. We present in a unified and simple way the two ways to restrict the computation to a finite domain: absorbing.

Nonreflecting boundary conditions for the time-dependent convective wave equation in a duct Journal of Computational Physics, Vol. No. 2 Mean-Flow-Multigrid fo Implicit k-e and Reynolds-Stress-Model Computations. Variational Methods for Time{Dependent Wave Propagation Problems Patrick Joly INRIA Rocquencourt, BP Le Chesnay, France (@) 1 Introduction There is an important need for numerical methods for time dependent wave propagation problems and their many applications, for example in acous-tics, electromagnetics and geophysics.

A fast parallel 3-dimensional explicit Finite-Difference algorithm with time dependent mesh refinement for wave propagation problems and acoustic problems is developed [5], to analyse and visualise the complex behavior of traveling waves, The algorithm is based on the three dimensional wave equations as a first order.

Read "A Spectral Approach for Generating Non-Local Boundary Conditions for External Wave Problems in Anisotropic Media, Journal of Scientific Computing" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.

transient wave equation arid appropriate boundary conditions will first be derived. The theories will be presented for a two-dimensional soft-wall duct without mean flow. Next, the complete set of difference equations and stability requirements presented.

Finally, sample calculations are presented for plane wave propagation in a hard-Cited by: Global discrete artificial boundary conditions for time-dependent wave propagation VS Ryaben'kii, SV Tsynkov, VI Turchaninov Journal of Computational Physics .Xavier Antoine, Anton Arnold, Christophe Besse, Matthias Ehrhardt, Achim Schädle.

A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations. Commun. Comput. Phys., PDF Citation.