Proper Generalized Decomposition method for incompressible Navier–Stokes equations with a spectral discretization [PDF]
, 2013 http://dx.doi.org/10.1016/j.amc.2013.02.022Proper Generalized Decomposition (PGD) is a method which consists in looking for the solution to a problem in a separate form.
ALLERY, Cyrille +2 more
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The use of dual reciprocity method for 2D laminar viscous flow [PDF]
MATEC Web of Conferences, 2020 The paper presents the use of the dual reciprocity multidomain singular boundary method (SBMDR) for the solution of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj
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Adaptive time-stepping for incompressible flow. Part II: Navier-Stokes equations [PDF]
, 2010 We outline a new class of robust and efficient methods for solving the Navier–Stokes equations. We describe a general solution strategy that has two basic building blocks: an implicit time integrator using a stabilized trapezoid rule with an explicit ...
D.J. Silvester +17 more
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Average Process of Fractional Navier–Stokes Equations with Singularly Oscillating Force
Fractal and Fractional, 2022 The averaging process between two-dimensional fractional Navier–Stokes equations driven by a singularly oscillating external force and the averaged equations corresponding to the limiting case are investigated.
Chunjiao Han +3 more
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Linearization of the Navier-Stokes equations [PDF]
E3S Web of Conferences, 2020 This paper studies mathematical models of the heat transfer process of a viscous incompressible fluid. Optimal control methods are used to solve the problem of optimal modeling.
Nazarov Serdar +2 more
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Euler and Navier-Stokes equations [PDF]
Publicacions Matemàtiques, 2008 We present results concerning the local existence, regularity and possible blow up of solutions to incompressible Euler and Navier-Stokes equations.
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On unbiased stochastic Navier–Stokes equations [PDF]
Probability Theory and Related Fields, 2011 A random perturbation of a deterministic Navier-Stokes equation is considered in the form of an SPDE with Wick type nonlinearity. The nonlinear term of the perturbation can be characterized as the highest stochastic order approximation of the original nonlinear term u\nabla u.
Mikulevicius, R., Rozovskii, B. L.
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The numerical solution of the Navier-Stokes equations for laminar incompressible flow past a paraboloid of revolution [PDF]
, 1973 A numerical method is presented for the solution of the Navier-Stokes equations for flow past a paraboloid of revolution. The flow field has been computed for a large range of Reynolds numbers.
Veldman, A.E.P. +2 more
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Vorticity moments in four numerical simulations of the 3D Navier–Stokes equations [PDF]
, 2013 The issue of intermittency in numerical solutions of the 3D Navier–Stokes equations on a periodic box [0,L]3 is addressed through four sets of numerical simulations that calculate a new set of variables defined by Dm(t)=(ϖ−10Ωm)αm for 1≤m≤∞ where αm=2m ...
Vincenzi, Dario +16 more
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On the hydrostatic approximation of compressible anisotropic Navier–Stokes equations
Comptes Rendus. Mathématique, 2021 In this work, we obtain the hydrostatic approximation by taking the small aspect ratio limit to the Navier–Stokes equations. The aspect ratio (the ratio of the depth to horizontal width) is a geometrical constraint in general large scale motions meaning ...
Gao, Hongjun +2 more
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