Displaying similar documents to “Addendum to 'The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation'”

The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation

Alexander Khapalov (2013)

International Journal of Applied Mathematics and Computer Science

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We introduce and investigate the well-posedness of a model describing the self-propelled motion of a small abstract swimmer in the 3-D incompressible fluid governed by the nonstationary Stokes equation, typically associated with low Reynolds numbers. It is assumed that the swimmer's body consists of finitely many subsequently connected parts, identified with the fluid they occupy, linked by rotational and elastic Hooke forces. Models like this are of interest in biological and engineering...

Special finite-difference approximations of flow equations in terms of stream function, vorticity and velocity components for viscous incompressible liquid in curvilinear orthogonal coordinates

Harijs Kalis (1993)

Commentationes Mathematicae Universitatis Carolinae

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The Navier-Stokes equations written in general orthogonal curvilinear coordinates are reformulated with the use of the stream function, vorticity and velocity components. The resulting system id discretized on general irregular meshes and special monotone finite-difference schemes are derived.

An iterative procedure to solve a coupled two-fluids turbulence model

Tomas Chacón Rebollo, Stéphane Del Pino, Driss Yakoubi (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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This paper introduces a scheme for the numerical approximation of a model for two turbulent flows with coupling at an interface. We consider the variational formulation of the coupled model, where the turbulent kinetic energy equation is formulated by transposition. We prove the convergence of the approximation to this formulation for 3D flows for large turbulent viscosities and smooth enough flows, whenever bounded in Sobolev norms for large enough. Under the...