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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 = {Qunlei Jiang, Zhilin Li and Sharon R. Lubkin}, 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 AU - Qunlei Jiang, Zhilin Li & Sharon R. Lubkin 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 and Sharon R. Lubkin. (2009). Analysis and Computation for a Fluid Mixture Model. Communications in Computational Physics. 5 (2-4). 620-634. doi:
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