Results 21 to 30 of about 16,122 (222)
Velocity-vorticity-pressure mixed formulation for the Kelvin-Voigt-Brinkman-Forchheimer equations
CoRRIn this paper, we propose and analyze a mixed formulation for the Kelvin-Voigt-Brinkman-Forchheimer equations for unsteady viscoelastic flows in porous media. Besides the velocity and pressure, our approach introduces the vorticity as a further unknown.
Sergio Caucao, Ivan Yotov
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Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions
Advances in Nonlinear Analysis, 2022 In this work, we handle a time-dependent Navier-Stokes problem in dimension three with a mixed boundary conditions. The variational formulation is written considering three independent unknowns: vorticity, velocity, and pressure.
Abdelwahed Mohamed, Chorfi Nejmeddine
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Boundary Value Problems, 2021 The objective of the article is to improve the algorithms for the resolution of the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem in two and three domains. Two algorithms are proposed.
Mohamed Abdelwahed +2 more
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Boundary Value Problems, 2020 In this work, we propose a nonstationary Navier–Stokes problem equipped with an unusual boundary condition. The time discretization of such a problem is based on the backward Euler’s scheme.
Mohamed Abdelwahed, Nejmeddine Chorfi
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New symmetry for the imperfect fluid
European Physical Journal C: Particles and Fields, 2020 We will address the existence of a new symmetry for an imperfect fluid by introducing local four-velocity gauge-like transformations for the case when there is vorticity.
Alcides Garat
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On the analysis of a geometrically selective turbulence model
Advances in Nonlinear Analysis, 2020 In this paper we propose some new non-uniformly-elliptic/damping regularizations of the Navier-Stokes equations, with particular emphasis on the behavior of the vorticity. We consider regularized systems which are inspired by the Baldwin-Lomax and by the
Chorfi Nejmeddine +2 more
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The spectral implementation of the nonstationary Stokes problem with nonstandard boundary conditions
Boundary Value Problems, 2020 This paper deals with the implementation of the spectral discretization of the vorticity–velocity–pressure formulation of the nonstationary Stokes problem. We use the implicit Euler scheme for the discretization in time.
Mohamed Abdelwahed +2 more
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Numerical stabilization of the Stokes problem in vorticity–velocity–pressure formulation [PDF]
, 2007 We work on a vorticity, velocity and pressure formulation of the bidimensional Stokes problem for incompressible fluids. In previous papers, the authors have developed a natural implementation of this scheme.
Salaün, Michel, Salmon, Stéphanie
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Vortex particle-mesh simulations of vertical axis wind turbine flows: from the airfoil performance to the very far wake [PDF]
Wind Energy Science, 2017 A vortex particle-mesh (VPM) method with immersed lifting lines has been developed and validated. Based on the vorticity–velocity formulation of the Navier–Stokes equations, it combines the advantages of a particle method and of a mesh-based approach.
P. Chatelain +5 more
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Coupling Harmonic Functions-Finite Elements for Solving the Stream Function-Vorticity Stokes Problem [PDF]
, 2004 We consider the bidimensional Stokes problem for incompressible fluids in stream function-vorticity form. The classical finite element method of degree one usually used does not allow the vorticity on the boundary of the domain to be computed ...
Salaün, Michel +2 more
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