Immersed Interface CIP for One Dimensional Hyperbolic Equations
Year: 2014
Author: Kazufumi Ito, Tomoya Takeuchi
Communications in Computational Physics, Vol. 16 (2014), Iss. 1 : pp. 96–114
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.070313.221113a
Communications in Computational Physics, Vol. 16 (2014), Iss. 1 : pp. 96–114
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Author Details
Kazufumi Ito Email
Tomoya Takeuchi Email
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