Year: 2021
Author: Bin Zhao, Mingyue Zhang, Chuangchuang Liang
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 5 : pp. 569–619
Abstract
In this paper, the Navier-Stokes-Darcy equations with the free interface are considered, which model the movement of the sea and the sand in the seafloor or the filtration of blood through the arterial wall. The global well-posedness of the solution perturbed around the constant steady state is obtained and then the almost exponential decay to the constant stationary state is gained. Finally, we present an efficient explicit discrete scheme based on finite-volume method for the free interface system and provide the numerical tests to illustrate the consistency with our analysis result.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2021-IJNAM-19384
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 5 : pp. 569–619
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 51
Keywords: Navier-Stokes-Darcy equations the free interface global well-posedness large time behavior.