Results 1 to 10 of about 1,863 (46)
Tracking the vortex motion by using Brownian fluid particles [PDF]
The Physics of Fluids, 2021 In this paper we propose a simple yet powerful vortex method to numerically approximate the dynamics of an incompressible flow. The idea is to sample the distribution of the initial vortices of the fluid flow in question then follows vortex dynamics ...
Z. Qian, Youchun Qiu, Yihuang Zhang
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Efficient and Unconditional Energy Stable Schemes for the Micropolar Navier-Stokes Equations
CSIAM Transactions on Applied Mathematics, 2022 We develop in this paper efficient numerical schemes for solving the micropolar Navier-Stokes equations by combining the SAV approach and pressure-correction method.
Jie Shen null, Nan Zheng
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Remark on the Lifespan of Solutions to 3-D Anisotropic Navier Stokes Equations
Communications in Mathematical Research, 2020 The goal of this article is to provide a lower bound for the lifespan of smooth solutions to 3-D anisotropic incompressible Navier-Stokes system, which in particular extends a similar type of result for the classical 3-D incompressible Navier-Stokes ...
Siyu Liang
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On Current Developments in Partial Differential Equations
, 2020 The article is resulted from a round table discussion. The first part of it contains an overview on some important recent developments in the field of analysis and partial different equations.
F. Lin
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On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model [PDF]
, 2009 The Navier-Stokes-Voigt (NSV) model of viscoelastic incompressible fluid has been recently proposed as a regularization of the 3D NavierStokes equations for the purpose of direct numerical simulations.
B. Levant, Fabio Ramos, E. Titi
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Journal of Applied Mathematics, Volume 2003, Issue 9, Page 429-446, 2003., 2003 In turbulent flow, the normal procedure has been seeking means u¯ of the fluid velocity u rather than the velocity itself. In large eddy simulation, we use an averaging operator which allows for the separation of large‐ and small‐length scales in the flow field. The filtered field u¯ denotes the eddies of size O(δ) and larger.
Meryem Kaya
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The Steady Motion of a Symmetric, Finite Core Size, Counterrotating Vortex Pair [PDF]
, 1994 The steady motion of a symmetric, finite core size, counterrotating vortex pair is characterized by circulation r, a velocity V, and a spacing 2x_∞. In the classical limit of a point vortex, the normalized velocity, vx_∞/r, is 1/(4π).
Kubota, Toshi, Yang, Joseph
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Analysis of a mathematical model related to Czochralski crystal growth
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 319-342, 1998., 1998 This paper is devoted to the study of a stationary problem consisting of the Boussinesq approximation of the Navier–Stokes equations and two convection–diffusion equations for the temperature and concentration, respectively. The equations are considered in 3D and a velocity–pressure formulation of the Navier–Stokes equations is used.
Petr Knobloch, Lutz Tobiska
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Initial values for the Navier-Stokes equations in spaces with weights in time
, 2014 We consider the nonstationary Navier-Stokes system in a smooth bounded domain Ω ⊂ R3 with initial value u0 ∈ Lσ(Ω). It is an important question to determine the optimal initial value condition in order to prove the existence of a unique local strong ...
R. Farwig, Y. Giga, Pen-Yuan Hsu
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, 2011 Based on Makino's solutions with radially symmetry, we extend the corresponding ones with elliptic symmetry for the compressible Euler and Navier-Stokes equations in R^{N} (N\geq2).
Yuen, Manwai
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