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The Embedded Boundary Integral Method (EBI) for the Incompressible Navier-Stokes equations
Embedded Boundary Integral Method (EBI) Incompressible Navier Stokes equations
2015/7/15
We present a new method for the solution of the unsteady incompressible Navier-Stokes equations. Our goal is to achieve a robust and scalable methodology for two and three dimensional incompressible f...
A STOCHASTIC LAGRANGIAN REPRESENTATION OF THE 3-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
stochastic Lagrangian incompressible Navier-Stokes
2014/4/4
In this paper we derive a representation of the deterministic 3-dimensional Navier-Stokes equations based on stochastic Lagrangian paths.The particle trajectories obey SDEs driven by a uniform Wiener ...
A Lagrangian approach for the incompressible Navier-Stokes equations with variable density
Inhomogeneous Navier-Stokes equations critical regularity piecewise constant density Besov spaces Lagrangian coordinates
2011/9/6
Abstract: Here we investigate the Cauchy problem for the inhomogeneous Navier-Stokes equations in the whole $n$-dimensional space. Under some smallness assumption on the data, we show the existence of...
On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity
3D Model Incompressible Navier-Stokes Equations Partial Viscosity Analysis of PDEs
2011/8/31
Abstract: In this short note, we study the local well-posedness of a 3D model for incompressible Navier-Stokes equations with partial viscosity. This model was originally proposed by Hou-Lei in \cite{...
Energy stable and momentum conserving interface stabilised finite element method for the incompressible Navier-Stokes equations
Finite element method stabilised finite element methods
2011/3/3
An interface stabilised finite element method for the incompressible Navier-Stokes
equations is presented. The method inherits the attractive stabilising mechanism of upwinded discon-tinuous Galerkin...
Inviscid limit for damped and driven incompressible Navier-Stokes equations in R 2
Inviscid limit statistical solutions anomalous dissipation
2014/4/4
We consider the zero viscosity limit of long time averages of solutions of damped and driven Navier-Stokes equations in R2. We prove that the rate of dissipation of enstrophy vanishes. Stationary stat...
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...