On a new finite-difference scheme for the non-stationary Navier-Stokes equations
A. Krzywicki (1968)
Colloquium Mathematicae
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Displaying similar documents to “On finite-difference approximations to steady-state solutions of the Navier-Stokes equations”
On a new finite-difference scheme for the non-stationary Navier-Stokes equations
Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision
Burda, Pavel, Novotný, Jaroslav, Šístek, Jakub
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We present analytical solution of the Stokes problem in 2D domains. This is then used to find the asymptotic behavior of the solution in the vicinity of corners, also for Navier-Stokes equations in 2D. We apply this to construct very precise numerical finite element solution.
On Numerical Methods for the Stokes Problem
R. Glowinski, O. Pironneau (1978)
Publications mathématiques et informatique de Rennes
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Vorticity dynamics and numerical Resolution of Navier-Stokes Equations
Matania Ben-Artzi, Dalia Fishelov, Shlomo Trachtenberg (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present a new methodology for the numerical resolution of the hydrodynamics of incompressible viscid newtonian fluids. It is based on the Navier-Stokes equations and we refer to it as the vorticity projection method. The method is robust enough to handle complex and convoluted configurations typical to the motion of biological structures in viscous fluids. Although the method is applicable to three dimensions, we address here in detail only the two dimensional case. We provide numerical...
Some remarks on variants of the Navier-Stokes equations
R. H. Dyer, D. E. Edmunds (1971)
Colloquium Mathematicae
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Mulit-Grid Methods for Stokes and Navier-Stokes Equations. Transforming Smoothers: Algorithms and Numerical Results.
G. Wittum (1989)
Numerische Mathematik
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Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
Michael Wiegner (2003)
Banach Center Publications
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The Convergence of two Numerical Schemes for the Navier-Stokes Equations.
E. Fernandez-Cara, Mercedes M. Beltran (1987)
Numerische Mathematik
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On the Qualitative Behavior of the Solutions to the 2-D Navier-Stokes Equation
M. Pulvirenti (2008)
Bollettino dell'Unione Matematica Italiana
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This talk, based on a research in collaboration with E. Caglioti and F.Rousset, deals with a modified version of the two-dimensional Navier-Stokes equation wich preserves energy and momentum of inertia. Such a new equation is motivated by the occurrence of different dissipation time scales. It is also related to the gradient flow structure of the 2-D Navier-Stokes equation. The hope is to understand intermediate asymptotics.
An application of the BDDC method to the Navier-Stokes equations in 3-D cavity
Hanek, Martin, Šístek, Jakub, Burda, Pavel
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We deal with numerical simulation of incompressible flow governed by the Navier-Stokes equations. The problem is discretised using the finite element method, and the arising system of nonlinear equations is solved by Picard iteration. We explore the applicability of the Balancing Domain Decomposition by Constraints (BDDC) method to nonsymmetric problems arising from such linearisation. One step of BDDC is applied as the preconditioner for the stabilized variant of the biconjugate gradient...
The Stokes system in the incompressible case-revisited
Rainer Picard (2008)
Banach Center Publications
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The classical Stokes system is reconsidered and reformulated in a functional analytical setting allowing for low regularity of the data and the boundary. In fact the underlying domain can be any non-empty open subset Ω of ℝ³. A suitable solution concept and a corresponding solution theory is developed.
On the asymptotic properties of solutions of the Navier-Stokes equations in the half-space.
Crispo, F., Maremonti, P. (2004)
Zapiski Nauchnykh Seminarov POMI
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Dual-mixed finite element methods for the Navier-Stokes equations
Jason S. Howell, Noel J. Walkington (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A mixed finite element method for the Navier–Stokes equations is introduced in which the stress is a primary variable. The variational formulation retains the mathematical structure of the Navier–Stokes equations and the classical theory extends naturally to this setting. Finite element spaces satisfying the associated inf–sup conditions are developed.