Volume 5, Issue 2-4
Analysis and Computation for a Fluid Mixture Model

Qunlei Jiang, Zhilin Li & Sharon R. Lubkin

Commun. Comput. Phys., 5 (2009), pp. 620-634.

Published online: 2009-02

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  • Abstract

A fluid mixture model of tissue deformations has been studied in this paper. The model is a mixed system of nonlinear hyperbolic and elliptic partial differential equations. Both theoretical linear stability and numerical analysis are presented. Comparisons between standard numerical methods that utilize Runge-Kutta methods coupled with the WENO scheme and the immersed interface methods are given. Numerical examples are also presented.

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@Article{CiCP-5-620, author = {}, title = {Analysis and Computation for a Fluid Mixture Model}, journal = {Communications in Computational Physics}, year = {2009}, volume = {5}, number = {2-4}, pages = {620--634}, abstract = {

A fluid mixture model of tissue deformations has been studied in this paper. The model is a mixed system of nonlinear hyperbolic and elliptic partial differential equations. Both theoretical linear stability and numerical analysis are presented. Comparisons between standard numerical methods that utilize Runge-Kutta methods coupled with the WENO scheme and the immersed interface methods are given. Numerical examples are also presented.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7753.html} }
TY - JOUR T1 - Analysis and Computation for a Fluid Mixture Model JO - Communications in Computational Physics VL - 2-4 SP - 620 EP - 634 PY - 2009 DA - 2009/02 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7753.html KW - AB -

A fluid mixture model of tissue deformations has been studied in this paper. The model is a mixed system of nonlinear hyperbolic and elliptic partial differential equations. Both theoretical linear stability and numerical analysis are presented. Comparisons between standard numerical methods that utilize Runge-Kutta methods coupled with the WENO scheme and the immersed interface methods are given. Numerical examples are also presented.

Qunlei Jiang, Zhilin Li & Sharon R. Lubkin. (2020). Analysis and Computation for a Fluid Mixture Model. Communications in Computational Physics. 5 (2-4). 620-634. doi:
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