Year: 1995
Author: Bai-Nian Lu
Journal of Computational Mathematics, Vol. 13 (1995), Iss. 2 : pp. 123–129
Abstract
In this paper, a finite difference scheme for the linear and nonlinear models of wheezes is given. The stability of the finite difference scheme for the linear model is obtained by using of von Neumann method. Moreover, the convergence and stability of the finite difference scheme for the nonlinear model are studied by the energy inequalities method. By some numerical computations, the relationships between angular frequency and wall position, fluid speed and amplitude are discussed. Finally, the author shows that the numerical results are coincided with Grotberg's theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1995-JCM-9255
Journal of Computational Mathematics, Vol. 13 (1995), Iss. 2 : pp. 123–129
Published online: 1995-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 7