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Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier-Stokes equations
diagnostics three-dimensional Euler Navier-Stokes equations
2011/3/3
Two possible diagnostics of stretching and folding (S&F) in fluid flows are discussed, based on the dynamics of the gradient of potential vor-ticity (q = ω · ∇) associated with solutions of the...
A hierarchy of length scales for solutions of the three-dimensional Navier-Stokes equations
hierarchy of length scales for solutions three-dimensional Navier-Stokes equations
2010/12/28
Moments of the vorticity are used to define and estimate a hierarchy of time-averaged inverse length scales λ−1 m for the three-dimensional Navier-Stokes equations on a periodic
box [0, L]3.
H¨older Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing
Navier-Stokes equations H¨older continuity singular forcing.
2014/4/3
We discuss the regularity of solutions of 2D incompressible NavierStokes equations forced by singular forces. The problem is motivated by the study of complex fluids modeled by the Navier-Stokes...
In the author's previous paper [13], a Galerkin/Least-Square type finite
element method was proposed and analyzed for the stationary N-S equations. The
method is consistent and stable for any combin...
This paper is concerned with spectral type of methods using Legendre polyno mials. Both Galerkin and collocation approximations for the Navier-Stokes equa tions are considered and their rates of conve...
期刊信息
篇名
Inertial algorithms for the stationary Navier-Stokes equations
语种
英文
撰写或编译
作者
Yanren Hou,R.M.M. Mattheij
第一作者单位
刊物名称
Acta Mathematica Scientia B
页面
23(2), 219—238, 2003
出版日期
2003年
月
日
文章标识(ISS...
Legendre Pseudospectral Method for the Incompressible Navier-Stokes Equations on the Sphere
Legendre pseudospectral method incompressible Navier Stokes equations stability convergence
2012/8/1
The Legendre pseudospectral approximation for numerical solution of the timedependent incompressible Navier-Stokes equations on a spherical surface is presented. The fully discrete Legendre pseudospec...