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Immersed Interface CIP for One Dimensional Hyperbolic Equations

Published online by Cambridge University Press:  03 June 2015

Kazufumi Ito  and
Tomoya Takeuchi
Kazufumi Ito*
Affiliation:
Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA
Tomoya Takeuchi*
Affiliation:
Collaborative Research Center for Innovative Mathematical Modelling, Institute of Industrial Science, University of Tokyo, Tokyo, Japan FIRST, Aihara Innovative Mathematical Modelling Project, JST, Kawaguchi, Japan
*
Corresponding author.Email:kito@math.ncsu.edu
Email:takeuchi@sat.t.u-tokyo.ac.jp
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Abstract

The immersed interface technique is incorporated into CIP method to solve one-dimensional hyperbolic equations with piecewise constant coefficients. The proposed method achieves the third order of accuracy in time and space in the vicinity of the interface where the coefficients have jump discontinuities, which is the same order of accuracy of the standard CIP scheme. Some numerical tests are given to verify the accuracy of the proposed method.

Keywords

65M1265M25CIP methodimmersed interface methodhyperbolic equations in discontinuous media.
Type
Research Article
Information
Communications in Computational Physics , Volume 16 , Issue 1 , July 2014 , pp. 96 - 114
Copyright
Copyright © Global Science Press Limited 2014

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