An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations [PDF]
In this article we propose a new symmetric version of the interior penalty discontinuous Galerkin finite element method for the numerical approximation of the compressible Navier-Stokes equations.
Houston, Paul, Hartmann, Ralf
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Stokes’ hypothesis allows for the frequent neglect of the bulk viscosity term related to fluid dilation effects on the viscous stress tensor in Newtonian flows.
S Kokou Dadzie
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The paper considers the regularity problem on three-dimensional incompressible Navier-Stokes equations in general orthogonal curvilinear coordinate systems.
Fan Geng, Shu Wang, Yongxin Wang
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The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations
We study the stability issue of the generalized 3D Navier-Stokes equations. It is shown that if the weak solution u of the Navier-Stokes equations lies in the regular class ∇u∈Lp(0,∞;Bq,∞0(ℝ3)), (2α/p)+(3/q)=2α ...
Wen-Juan Wang, Yan Jia
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Reproductive solutions for the g-Navier-Stokes and g-Kelvin-Voight equations
This article presents the existence of reproductive solutions of g-Navier-Stokes and g-Kelvin-Voight equations. In this way, for weak solutions, we reach basically the same result as for classic Navier-Stokes equations.
Luis Friz +2 more
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Finite Element Modelling of the Hydrodynamic Environment of a Small ROV [PDF]
This paper addresses a practical problem, namely, modeling the hydrodynamic environment of a small ROV. This has become the problem of solving time-dependent incompressible Navier-Stokes equations with moving boundaries and a new method is developed to ...
Ren Guang, Jens G. Balchen
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Efficient Algorithms for Solution of the Adjoint Compressible Navier-Stokes Equations with Applications [PDF]
The complete discrete adjoint equations for an unstructured finite volume compressible Navier-Stokes solver are discussed with respect to the memory and time efficient evaluation of their residuals, and their solution.
Brezillon, Joel +2 more
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EQUATION OF CONTINUITY IN THE CYLINDRICAL COORDINATES SYSTEM
Sophisticated viscous compressible heat-conducting gases arising during heating the vertical field, have a pronounced axial symmetry. Therefore, for the numerical solution of the full Navier - Stokes equations to describe such gas flows is advisable to ...
A. G. Obukhov, N. V. Chunikhina
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Análise do acoplamento pressão-velocidade nas equações de Navier-Stokes utilizando o método dos volumes finitos baseado em elementos e solução acoplada [PDF]
Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro Tecnológico. Programa de Pós-graduação em Engenharia Mecânica.Este trabalho tem como objetivo estudar os métodos FIELDS e Rhie-Chow para tratamento do acoplamento pressão-velocidade ...
Mendes, Rafael
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Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows [PDF]
We present a review of the semi-Lagrangian method for advection-diusion and incompressible Navier-Stokes equations discretized with high-order methods.
Xiu,D. +7 more
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