Displaying similar documents to “More pressure in the finite element discretization of the Stokes problem”

Analysis of the hydrostatic approximation in oceanography with compression term

Tomás Chacón Rebollo, Roger Lewandowski, Eliseo Chacón Vera (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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The hydrostatic approximation of the incompressible 3D stationary Navier-Stokes equations is widely used in oceanography and other applied sciences. It appears through a limit process due to the anisotropy of the domain in use, an ocean, and it is usually studied as such. We consider in this paper an equivalent formulation to this hydrostatic approximation that includes Coriolis force and an additional pressure term that comes from taking into account the pressure in the state...

Analysis of the hydrostatic approximation in oceanography with compression term

Tomás Chacón Rebollo, Roger Lewandowski, Eliseo Chacón Vera (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

The hydrostatic approximation of the incompressible 3D stationary Navier-Stokes equations is widely used in oceanography and other applied sciences. It appears through a limit process due to the anisotropy of the domain in use, an ocean, and it is usually studied as such. We consider in this paper an equivalent formulation to this hydrostatic approximation that includes Coriolis force and an additional pressure term that comes from taking into account the pressure in the state...

On the structure of flows through pipe-like domains satisfying a geometrical constraint

Piotr Bogusław Mucha (2004)

Applicationes Mathematicae

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We study solutions of the steady Navier-Stokes equations in a bounded 2D domain with the slip boundary conditions admitting flow across the boundary. We show conditions guaranteeing uniqueness of the solution. Next, we examine the structure of the solution considering an approximation given by a natural linearization. Suitable error estimates are also obtained.

A priori and a posteriori error estimates for Navier-Stokes equations applied to incompressible flows

Burda, Pavel, Novotný, Jaroslav, Sousedík, Bedřich, Šístek, Jakub

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We consider the Navier-Stokes equations for the incompressible flow in channels with forward and backward steps. The paper consists of two main parts. In the first part we investigate a posteriori error estimates for the Stokes and Navier-Stokes equations on two-dimensional polygonal domains. We apply the a posteriori estimates to solve an incompressible flow problem in a domain with corners that cause singularities in the solution. Second part of the paper stands on the result on the...