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pro vyhledávání: '"65M12, 76D05"'
Autor:
Huang, Fukeng, Shen, Jie
When applying the classical multistep schemes for solving differential equations, one often faces the dilemma that smaller time steps are needed with higher-order schemes, making it impractical to use high-order schemes for stiff problems. We constru
Externí odkaz:
http://arxiv.org/abs/2405.00300
Autor:
Hua, Mengjian, Peskin, Charles S.
We present a numerical stability analysis of the immersed boundary(IB) method for a special case which is constructed so that Fourier analysis is applicable. We examine the stability of the immersed boundary method with the discrete Fourier transform
Externí odkaz:
http://arxiv.org/abs/2111.15065
Autor:
Hong, Youngjoon, Wirosoetisno, Djoko
It is well known that the solution of the 3d Navier--Stokes equations remains bounded if the initial data and the forcing are sufficiently small relative to the viscosity, and for a finite time given any bounded initial data. In this article, we cons
Externí odkaz:
http://arxiv.org/abs/1410.3415
Publikováno v:
Commun. Math. Sci. 13 (2015) 1829--1874
We consider two-phase Navier--Stokes flow with a Boussinesq--Scriven surface fluid. In such a fluid the rheological behaviour at the interface includes surface viscosity effects, in addition to the classical surface tension effects. We introduce and
Externí odkaz:
http://arxiv.org/abs/1404.5519
In this work, we describe, analyze, and implement a pseudospectral quadrature method for a global computer modeling of the incompressible surface Navier-Stokes equations on the rotating unit sphere. Our spectrally accurate numerical error analysis is
Externí odkaz:
http://arxiv.org/abs/1009.3308
Autor:
Mengjian Hua, Charles S. Peskin
Publikováno v:
Journal of Computational Physics. 467:111435
We present a numerical stability analysis of the immersed boundary(IB) method for a special case which is constructed so that Fourier analysis is applicable. We examine the stability of the immersed boundary method with the discrete Fourier transform
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95accd05e9e6918328f24da38e6fb600
https://doi.org/10.1016/j.jcp.2022.111435
https://doi.org/10.1016/j.jcp.2022.111435
Publikováno v:
ResearcherID
We consider two-phase Navier--Stokes flow with a Boussinesq--Scriven surface fluid. In such a fluid the rheological behaviour at the interface includes surface viscosity effects, in addition to the classical surface tension effects. We introduce and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8b0f6b23c4298593c6ab7488bf7d7f9
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