On accuracy conditions for the numerical computation of waves

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National Aeronautics and Space Administration, Langley Research Center , Hampton, Va
Helmholtz equ
StatementAlvin Bayliss, C.I. Goldstein, E. Turkel
SeriesNASA contractor report -- 172433, ICASE report -- no. 84-38
ContributionsGoldstein, Charles I, Turkel, E, Langley Research Center, Institute for Computer Applications in Science and Engineering
The Physical Object
FormatMicroform
Pagination1 v.
ID Numbers
Open LibraryOL14928255M

On accuracy conditions of the numerical computation of waves. the wave number K are not independent but are constrained by the accuracy of the desired computation. It. JOURNAL OF COMPUTATIONAL PHYS () On Accuracy Conditions for the Numerical Computation of Waves A.

BAYLISS Exxon Corporate Research, Annandale, New Jersey C. GOLDSTEIN* Department of Applied Mathematics, Brookhaven National Laboratory, Upton, New York AND E. TKEI^ Tel-Aviv University, Tel-Aviv, Israel, and Cited by: Get this from a library. On accuracy conditions for the numerical computation of waves.

[Alvin Bayliss; Charles I Goldstein; E Turkel; Langley Research Center.; Institute for Computer Applications in Science and Engineering.]. IMACS Transactions on Scientific Computation – 85, Volume I: Numerical Mathematics and Applications contains papers on theoretical and applied aspects of numerical mathematics presented at the 11th IMACS World Congress on Scientific Computation, held in Oslo, Norway on AugustOn the Accuracy of Numerical Wave Simulations Based on Finite Methods Article in Journal of Electromagnetic Waves and Applications 6(12).

Absorbing Boundary Conditions for the Numerical Simulation of Waves Author(s): Bjorn Engquist and Andrew Majda Source: Mathematics of Computation. Novem The NEURON Book: Chapter 4 Chapter 4 Essentials of numerical methods for neural modeling NEURON uses many strategies to achieve computational accuracy and efficiency, some of which are detailed elsewhere (Hines ).

It also draws on several numerical methods libraries for vector (Press et al. ) and matrix (Stewart and. Numerical Simulation of Optical Wave Propagation is solely dedicated to wave-optics simulations. The book discusses digital Fourier transforms (FT), FT-based operations, multiple methods of wave-optics simulations, sampling requirements, and simulations in atmospheric turbulence.

“In this book finite elements and discontinuous Galerkin (DG) methods are employed for the solution of wave equations. The book consists of a preface and eight chapters.

Description On accuracy conditions for the numerical computation of waves PDF

Each chapter concludes with a list of references. It is an excellent reference for researchers working on numerical solutions of transient wave : Paperback.

The Proceedings: Fifth International Conference on Numerical Ship Hydrodynamics () Chapter: Stability and Accuracy of a Non-Linear Model for the Wave Resistance Problem. A family of numerical schemes based on finite difference operators is introduced for the computation of elastic waves.

We use a displacement-stress formulation of the model.

Details On accuracy conditions for the numerical computation of waves PDF

After deriving some stability results, we give an analysis of the computational by: T1 - Absorbing boundary conditions for the numerical simulation of waves.

AU - Engquist, Bjorn. AU - Majda, Andrew. PY - /7. Y1 - /7. N2 - In practical calculations, it is often essential to introduce artificial boundaries to limit the area of by: Numerical Modeling of Water Waves 1st Edition from large-scale to local-scale is highlighted with a detailed discussion of the application and matching of boundary conditions.

At the same time the book provides a grounding in hydrodynamics, wave theory, and numerical methods which underlie wave modelling. Cited by: () Numerical Solution of the Time-Domain Maxwell Equations Using High-Accuracy Finite-Difference Methods.

SIAM Journal on Scientific Computing 22 Cited by: Two types of numerical methods are developed for the simulation of three-dimensional breaking waves. One is a finite-difference-method approach (TUMMAC-VIII) for solving the incompressible Navier-Stokes equation employing orthogonal staggered grid system which is.

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Print Book & E-Book. ISBNBook Edition: 1. This book presents topics in a single source format using unified spectral theory of computing. With developments of DNS and LES, practitioners are rediscovering waves as important in fluid flows, and capturing these numerically is central to high accuracy computing.

Computational Methods for Nanoscale Applications: Particles, Plasmons and Waves presents new perspectives on modern nanoscale problems where fundamental science meets technology and computer modeling.

This book describes well-known computational techniques such as finite-difference schemes, finite element analysis and Ewald summation, as well as a new finite. MATHEMATICS OF COMPUTATION, VOL NUMBER JULYPAGES Absorbing Boundary Conditions for the Numerical Simulation of Waves By Bjorn Engquist* and Andrew Majda** Abstract.

In practical calculations, it is often essential to introduce artificial boundaries to limit the area of computation. Absorbing boundary conditions for numerical simulation of waves. In practical calculations, it is often essential to introduce artificial boundaries to limit the area of computation.

Here we develop a systematic method for obtaining a hierarchy of local boundary conditions at these artifical boundaries.

These boundary conditions not only Cited by: Fenton, J.D. () Numerical Methods for Nonlinear Waves, in Advances in Coastal and Ocean Engineering, Vol.

5, ed. P.L.-F. Liu, pp, World Scientific: Singapore. Numerical methods for nonlinear waves John D. Fenton Department of Civil and Environmental Engineering, The University of Melbourne,Cited by: Step 4 - Computation. DOP is a numerical representation of satellite geometry, and it is dependent on the locations of satellites that are visible to the receiver.

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Abstract. Defining numerical uncertainty is an important part of the practical application of a numerical method. In the case of a ship advancing in short and steep waves, little knowledge exists on the solution behaviour as a function of discretisation by: 7.

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Introduction to Computation and Modeling for Differential Equations, Second Edition is a useful textbook for upper-undergraduate and graduate-level courses in scientific computing, differential equations, ordinary differential equations, partial differential equations, and numerical methods.

The book is also an excellent self-study guide for Author: Lennart Edsberg. Numerical models of what the engineer calls “short” waves have quickly become valuable adjuncts to engineering practice.

However, the earlier models of this type had a relatively limited range or application. Practice demands a wider range and the paper describes various methods used to meet this demand.

The accuracy of numerical results increases as the initial particle spacing decreases, and the numerical model with IPS of 2 cm show good agreement. As shown in Figure 6a, the numerical results show that the accuracy significantly increases as the initial particle spacing decreases.

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Although the smoothed particles spaced smaller than 2 cm can. Introduction to Computation and Modeling for Differential Equations, Second Edition is a useful textbook for upper-undergraduate and graduate-level courses in scientific computing, differential equations, ordinary differential equations, partial differential equations, and numerical methods.

The book is also an excellent self-study guide for Author: Lennart Edsberg. This book constitutes thoroughly revised selected papers of the 6th International Conference on Numerical Analysis and Its Applications, NAAheld in Lozenetz, Bulgaria, in June The 90 revised papers presented were carefully reviewed and selected from 98 submissions.

The.THE NUMERICAL COMPUTATION OF VIOLENT WAVES – APPLICATION TO WAVE ENERGY CONVERTERS Frédéric DIAS School of Mathematical Sciences University College Dublin on leave from Ecole Normale Supérieure de Cachan 26 July –WAVES - Vancouver 26 July - Vancouver 1 Oyster Aquamarine Power conditions.

Instead, solutions of some certain canonical problems are substituted for the approximation. In particular, the techniques known as high frequency approximation techniques give the good accuracy when the scatters are much bigger than the wavelength so that the numerical discretization methods such.