國家衛生研究院 NHRI:Item 3990099045/11076

NHRI > Institute of Biomedical Engineering and Nanomedicine > Maxim Solovchuk > Periodical Articles > Item 3990099045/11076

Please use this identifier to cite or link to this item: http://ir.nhri.org.tw/handle/3990099045/11076

Title:	A conservative numerical scheme for modeling nonlinear acoustic propagation in thermoviscous homogeneous media
Authors:	Diaz, MA;Solovchuk, MA;Sheu, TWH
Contributors:	Institute of Biomedical Engineering and Nanomedicine
Abstract:	A nonlinear system of partial differential equations capable of describing the nonlinear propagation and attenuation of finite amplitude perturbations in thermoviscous media is presented. This system constitutes a full nonlinear wave model that has been formulated in the conservation form. Initially, this model is investigated analytically in the inviscid limit where it has been found that the resulting flux function fulfills the Lax–Wendroff theorem, and the scheme can match the solutions of the Westervelt and Burgers equations numerically. Here, high-order numerical descriptions of strongly nonlinear wave propagations become of great interest. For that matter we consider finite difference formulations of the weighted essentially non-oscillatory (WENO) schemes associated with explicit strong stability preserving Runge–Kutta (SSP-RK) time integration methods. Although this strategy is known to be computationally demanding, it is found to be effective when implemented to be solved in graphical processing units (GPUs). As we consider wave propagations in unbounded domains, perfectly matching layers (PML) have been also considered in this work. The proposed system model is validated and illustrated by using one- and two-dimensional benchmark test cases proposed in the literature for nonlinear acoustic propagation in homogeneous thermoviscous media.
Date:	2018-06-15
Relation:	Journal of Computational Physics. 2018 Jun 15;363:200-230.
Link to:	http://dx.doi.org/10.1016/j.jcp.2018.02.005
JIF/Ranking 2023:	http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=NHRI&SrcApp=NHRI_IR&KeyISSN=0021-9991&DestApp=IC2JCR
Cited Times(WOS):	https://www.webofscience.com/wos/woscc/full-record/WOS:000429576400014
Cited Times(Scopus):	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85042884954
Appears in Collections:	[Maxim Solovchuk] Periodical Articles

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