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A shallow water model with eddy viscosity for basins with varying bottom topography
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In this article, the authors introduce appropriate scalings into a three-dimensional anisotropic eddy viscosity model to derive a two-dimensional shallow water model and prove the global regularity of the resulting model.Abstract:
The motion of an incompressible fluid confined to a shallow basin with a varying bottom topography is considered. We introduce appropriate scalings into a three-dimensional anisotropic eddy viscosity model to derive a two-dimensional shallow water model. The global regularity of the resulting model is proved. The anisotropic form of the stress tensor in our three-dimensional eddy viscosity model plays a critical role in ensuring that the resulting shallow water model dissipates energy.read more
Citations
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Wave damping of a sloshing wave by an interacting turbulent vortex flow
TL;DR: The proposed scheme is a good candidate as an active surface gravity wave dampener via vortex flow reconfiguration due to its enhanced viscous dissipation coefficient, which is found to scale linearly with the measured turbulent viscosity.
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Application of the Trigonometric Polynomial Interpolation for the Estimation of the Vertical Eddy Viscosity Coefficient Based on the Ekman Adjoint Assimilation Model
TL;DR: In this paper , a triangular polynomial interpolation (TPI) scheme was developed to estimate the vertical eddy viscosity coefficient (VEVC) on the basis of the Ekman model with adjoint assimilation.
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Layer-averaged Euler and Navier-Stokes equations
TL;DR: In this paper, a multilayer description of the Euler and Navier-Stokes model is proposed and the needed closure relations are obtained using an energy-based optimality criterion instead of an asymptotic expansion.
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An Uzawa iterative scheme for the simulation of floating bodies
TL;DR: This work proposes a Uzawa type iterative scheme for this type of situation and describes an efficient implementation in the context of a particular finite element discretization and algebraic splitting procedure.
Approximate inertial manifolds for a shallow water model with varying bottom topography
TL;DR: In this paper, an infinite family of approximate inertial manifolds for the two-dimensional shallow water model was constructed and the asymptotic behavior of the solutions was studied, where the existence of the global attractor was proved.
References
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Book
An Introduction to Fluid Dynamics
TL;DR: The dynamique des : fluides Reference Record created on 2005-11-18 is updated on 2016-08-08 and shows improvements in the quality of the data over the past decade.
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Navier-Stokes Equations: Theory and Numerical Analysis
TL;DR: This paper presents thediscretization of the Navier-Stokes Equations: General Stability and Convergence Theorems, and describes the development of the Curl Operator and its application to the Steady-State Naviers' Equations.
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