Volume 11, Issue 2
Conservative Finite-Difference Scheme for High-Frequency Acoustic Waves Propagating at an Interface Between Two Media

J. Staudacher & É. Savin

Commun. Comput. Phys., 11 (2012), pp. 351-366.

Published online: 2012-12

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This paper is an introduction to a conservative, positive numerical scheme which takes into account the phenomena of reflection and transmission of high frequency acoustic waves at a straight interface between two homogeneous media. Explicit forms of the interpolation coefficients for reflected and transmitted wave vectors on a two-dimensional uniform grid are derived. The propagation model is a Liouville transport equation solved in phase space.


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@Article{CiCP-11-351, author = {}, title = {Conservative Finite-Difference Scheme for High-Frequency Acoustic Waves Propagating at an Interface Between Two Media}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {2}, pages = {351--366}, abstract = {

This paper is an introduction to a conservative, positive numerical scheme which takes into account the phenomena of reflection and transmission of high frequency acoustic waves at a straight interface between two homogeneous media. Explicit forms of the interpolation coefficients for reflected and transmitted wave vectors on a two-dimensional uniform grid are derived. The propagation model is a Liouville transport equation solved in phase space.


}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.111209.240710s}, url = {http://global-sci.org/intro/article_detail/cicp/7366.html} }
TY - JOUR T1 - Conservative Finite-Difference Scheme for High-Frequency Acoustic Waves Propagating at an Interface Between Two Media JO - Communications in Computational Physics VL - 2 SP - 351 EP - 366 PY - 2012 DA - 2012/12 SN - 11 DO - http://doi.org/10.4208/cicp.111209.240710s UR - https://global-sci.org/intro/article_detail/cicp/7366.html KW - AB -

This paper is an introduction to a conservative, positive numerical scheme which takes into account the phenomena of reflection and transmission of high frequency acoustic waves at a straight interface between two homogeneous media. Explicit forms of the interpolation coefficients for reflected and transmitted wave vectors on a two-dimensional uniform grid are derived. The propagation model is a Liouville transport equation solved in phase space.


J. Staudacher & É. Savin. (2020). Conservative Finite-Difference Scheme for High-Frequency Acoustic Waves Propagating at an Interface Between Two Media. Communications in Computational Physics. 11 (2). 351-366. doi:10.4208/cicp.111209.240710s
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