The structure of shock waves as a test of Brenner's modifications to the Navier-Stokes equations [PDF]
, 2007 Brenner (Physica A, vol. 349, 2005a, b, pp. 11, 60) has recently proposed modifications to the Navier-Stokes equations that are based on theoretical arguments but supported only by experiments having a fairly limited range.
Reese, Jason M. +1 more
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Efficient upwind algorithms for solution of the Euler and Navier-stokes equations [PDF]
, 1995 An efficient three-dimensionasl tructured solver for the Euler and Navier-Stokese quations is developed based on a finite volume upwind algorithm using Roe fluxes. Multigrid and optimal smoothing multi-stage time stepping accelerate convergence.
McNeil, C. Y.
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An extension to the Navier-Stokes equations to incorporate gas molecular collisions with boundaries [PDF]
, 2010 We investigate a model for micro-gas-flows consisting of the Navier-Stokes equations extended to include a description of molecular collisions with solid boundaries, together with first and second order velocity slip boundary conditions.
Reese, Jason M. +6 more
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Revisiting the Reynolds-averaged Navier–Stokes equations
Open Physics, 2022 This study revisits the Reynolds-averaged Navier–Stokes (RANS) equations and finds that the existing literature is erroneous regarding the primary unknowns and the number of independent unknowns in the RANS. The literature claims that the Reynolds stress
Sun Bohua
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Approximations of stochastic Navier–Stokes equations [PDF]
Stochastic Processes and their Applications, 2020 In this paper we show that solutions of two-dimensional stochastic Navier-Stokes equations driven by Brownian motion can be approximated by stochastic Navier-Stokes equations forced by pure jump noise/random kicks.
Shang, Shijie, Zhang, Tusheng
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Generalized Navier–Stokes equations and soft hairy horizons in fluid/gravity correspondence
Nuclear Physics B, 2021 The fluid/gravity correspondence establishes how gravitational dynamics, as dictated by Einstein's field equations, are related to the fluid dynamics, governed by the relativistic Navier–Stokes equations.
A.J. Ferreira–Martins, R. da Rocha
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A sequential regularization method for time-dependent incompressible Navier--Stokes equations [PDF]
, 1997 The objective of the paper is to present a method, called the sequential regularization method (SRM), for the nonstationary incompressible Navier--Stokes equations from the viewpoint of regularization of differential-algebraic equations (DAEs), and to ...
Lin, Ping
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About the Regularized Navier?Stokes Equations [PDF]
Journal of Mathematical Fluid Mechanics, 2005 The first goal of this paper is to study the large time behavior of solutions to the Cauchy problem for the 3-dimensional incompressible Navier-Stokes system. The Marcinkiewicz space $L^{3,\infty}$ is used to prove some asymptotic stability results for solutions with infinite energy.
Cannone, Marco, Karch, Grzegorz
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Intermittency and regularity issues in 3D Navier-Stokes turbulence [PDF]
, 2005 Two related open problems in the theory of 3 D Navier-Stokes turbulence are discussed in this paper. The first is the phenomenon of intermittency in the dissipation field.
Gibbon, J. D. +5 more
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Observers for Compressible Navier--Stokes Equation [PDF]
SIAM Journal on Control and Optimization, 2018 We consider a multi-dimensional model of a compressible fluid in a bounded domain. We want to estimate the density and velocity of the fluid, based on the observations for only velocity. We build an observer exploiting the symmetries of the fluid dynamics laws.
Amit Apte +2 more
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