by Storming Media .
Written in English
|The Physical Object|
A shallow water model with linear time‐dependent dispersive waves in an unbounded domain is considered. The domain is truncated with artificial boundaries ℬ︁ where a sequence of high‐order non‐reflecting boundary conditions (NRBCs) proposed by Higdon are by: Application of high-order Higdon non-reflecting boundary conditions to linear shallow water models. APPLICATION OF HIGDON NON-REFLECTING BOUNDARY CONDITIONS TO SHALLOW WATER MODELS by Vincent J. van Joolen June Dissertation Supervisors: Beny Neta Dan Givoli - — iQ'.re r:'.ra — iQ'.re rs.r3. Title: D:\Vince-PhD\ Author: vjvanjoo. A shallow water model with linear time-dependent dispersive waves in an unbounded domain is considered. The domain is truncated with artiﬁcial boundaries B where a sequence of high-order non-reﬂecting boundary conditions (NRBCs) proposed by Higdon are .
Time-dependent dispersive shallow water waves in an unbounded domain are considered. The infinite domain is truncated via an artificial boundary B, and a high-order non-reflecting boundary condition (NRBC) is imposed on the problem is solved by a finite difference scheme in the finite domain bounded by sequence of NRBCs proposed by Higdon is used. () Application of high-order Higdon non-reflecting boundary conditions to linear shallow water models. Communications in Numerical Methods in Engineering , () Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain. Beny Neta, Vince van Joolen, John R. Dea, Dan Givoli, Application of high‐order Higdon non‐reflecting boundary conditions to linear shallow water models, Communications in Numerical Methods in Engineering, /cnm, 24, 11, (), (). V.J. van Joolen (), Application of Higdon Non-Reflecting Boundary Conditions to Shallow Water Models, PhD thesis, Dept. of Applied Math., Naval Postgraduate School, Monterey, CA, .
JOURNAL OF COMPUTATIONAL PHYS () Review Article Non-reflecting Boundary Conditions DAN GIVOLI Department of Aerospace Engineering, Technion- Israel Institute of Technology, Haifa , Israel Received September 8, ; revised January Past and recent research on the use of non-reflecting boundary conditions in the numerical solution of . shallow water models with the proposed linear and nonlin-ear characteristic open boundary conditions. But, in the present article, fully nonviscous shallow water equations are considered. The purpose of this article is to perform numerical simulations using suitable boundary conditions and suitable numerical schemes which guarantee efficiency. Engquist, B. & Majda, A. Absorbing boundary conditions for the numerical simulation of waves. Mathematics of Computat – MathSciNet ADS zbMATH CrossRef Google Scholar Foreman, M. G. G. An Accuracy analysis of boundary conditions for the forced shallow Water equations. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): A variational data assimilation technique was used to estimate optimal discretization of interpolation operators and derivatives in the nodes adjacent to the rigid boundary. Assimilation of artificially generated observational data in the shallow-water model in a square box and assimilation of real observations in the.