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Volume 16, Issue 1
Immersed Interface CIP for One Dimensional Hyperbolic Equations

Kazufumi Ito & Tomoya Takeuchi

DOI: 10.4208/cicp.070313.221113a

Commun. Comput. Phys., 16 (2014), pp. 96-114.

Published online: 2014-07

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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.

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@Article{CiCP-16-96, author = {Kazufumi Ito and Tomoya Takeuchi}, title = {Immersed Interface CIP for One Dimensional Hyperbolic Equations}, journal = {Communications in Computational Physics}, year = {2014}, volume = {16}, number = {1}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.070313.221113a}, url = {http://global-sci.org/intro/article_detail/cicp/7035.html} }
TY - JOUR T1 - Immersed Interface CIP for One Dimensional Hyperbolic Equations AU - Kazufumi Ito & Tomoya Takeuchi JO - Communications in Computational Physics VL - 1 SP - 96 EP - 114 PY - 2014 DA - 2014/07 SN - 16 DO - http://doi.org/10.4208/cicp.070313.221113a UR - https://global-sci.org/intro/article_detail/cicp/7035.html KW - AB -

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.

Kazufumi Ito and Tomoya Takeuchi. (2014). Immersed Interface CIP for One Dimensional Hyperbolic Equations. Communications in Computational Physics. 16 (1). 96-114. doi:10.4208/cicp.070313.221113a
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