Resolution of the implicit Euler scheme for the Navier-Stokes equation through a least-squares method
Sign Up to like & getrecommendations! Published in 2021 at "Numerische Mathematik"
DOI: 10.1007/s00211-021-01171-1
Abstract: This work analyzes a least-squares method in order to solve implicit time schemes associated to the 2D and 3D Navier-Stokes system, introduced in 1979 by Bristeau, Glowinksi, Periaux, Perrier and Pironneau. Implicit time schemes reduce… read more here.
Keywords: squares method; least squares; euler scheme; implicit euler ... See more keywords
Numerical solution of 2D Navier–Stokes equation discretized via boundary elements method and finite difference approximation
Sign Up to like & getrecommendations! Published in 2018 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2018.08.004
Abstract: Abstract In this paper boundary elements method (BEM) is equipped with finite difference approximation (FDA) to solve two-dimensional Navier–Stokes (N–S) equation. The N–S equation is converted to a system of ordinary differential equations (ODEs) respect… read more here.
Keywords: boundary elements; stokes equation; finite difference; difference approximation ... See more keywords
Solving the incompressible surface Navier-Stokes equation by surface finite elements
Sign Up to like & getrecommendations! Published in 2017 at "Physics of Fluids"
DOI: 10.1063/1.5005142
Abstract: We consider a numerical approach for the incompressible surface Navier-Stokes equation on surfaces with arbitrary genus g(S). The approach is based on a reformulation of the equation in Cartesian coordinates of the embedding R3, penalization… read more here.
Keywords: surface finite; incompressible surface; surface; stokes equation ... See more keywords
Dirichlet problem for the Stokes equation
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Notes"
DOI: 10.1134/s0001434617010138
Abstract: The paper presents some coercive a priori estimates of the solution of the Dirichlet problem for the linear Stokes equation relating vorticity and the stream function of an axially symmetric flow of an incompressible fluid.… read more here.
Keywords: stokes equation; equation; problem stokes; dirichlet problem ... See more keywords
Solutions of Navier-Stokes Equation with Coriolis Force
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Mathematical Physics"
DOI: 10.1155/2017/7042686
Abstract: We investigate the Navier-Stokes equation in the presence of Coriolis force in this article. First, the vortex equation with the Coriolis effect is discussed. It turns out that the vorticity can be generated due to… read more here.
Keywords: equation coriolis; stokes equation; equation; navier stokes ... See more keywords
Determination of source term for the fractional Rayleigh–Stokes equation with random data
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2262-9
Abstract: In this article, we consider the problem of finding a source term of a Rayleigh–Stokes equation. Our problem is not well-posed in the sense of Hadamard. The sought solution does not depend continuously on the… read more here.
Keywords: stokes equation; determination source; rayleigh stokes; source term ... See more keywords
Efficient MATLAB Codes for the 2D/3D Stokes Equation with the Mini-Element
Sign Up to like & getrecommendations! Published in 2019 at "Informatica"
DOI: 10.15388/informatica.2019.205
Abstract: We propose a fast MATLAB implementation of the mini-element (i.e. P 1-Bubble/P 1) for the finite element approximation of the generalized Stokes equation in 2D and 3D. We use cell arrays to derive vectorized assembling… read more here.
Keywords: stokes equation; element; mini element; efficient matlab ... See more keywords
On the development of the Navier-Stokes equation by Navier
Sign Up to like & getrecommendations! Published in 2017 at "Revista Brasileira De Ensino De Fisica"
DOI: 10.1590/1806-9126-rbef-2017-0239
Abstract: After the work of Navier, the Navier-Stokes equation was re-obtained by different arguments by numerous investigators. We have chosen to revisit the approaches of Navier not only because they were pioneering, but also because, unexpectedly,… read more here.
Keywords: motion; theory; stokes equation; navier stokes ... See more keywords
FINITE VOLUME METHODDISCRETIZATION OF MODIFIEDNAVIER-STOKES EQUATION
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Approximate Reasoning"
DOI: 10.21474/ijar01/12949
Abstract: This study has come up with a numerical scheme that arises from finite volume discretizationof Modified Navier-Stokes Equation.Modified Navier-Stokes Equation in the x-z axis was coupled with continuity equation to obtain the Pressure Equation. Using… read more here.
Keywords: methoddiscretization modifiednavier; stokes equation; finite volume; volume methoddiscretization ... See more keywords
No Existence and Smoothness of Solution of the Navier-Stokes Equation
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DOI: 10.3390/e24030339
Abstract: The Navier-Stokes equation can be written in a form of Poisson equation. For laminar flow in a channel (plane Poiseuille flow), the Navier-Stokes equation has a non-zero source term (∇2u(x, y, z) = Fx (x,… read more here.
Keywords: equation; stokes equation; flow; solution ... See more keywords
Stokes Equation in a Semi-Infinite Region: Generalization of the Lamb Solution and Applications to Marangoni Flows
Sign Up to like & getrecommendations! Published in 2020 at "Fluids"
DOI: 10.3390/fluids5040249
Abstract: We consider the creeping flow of a Newtonian fluid in a hemispherical region. In a domain with spherical or nearly spherical geometry, the solution of the Stokes equation can be expressed as a series of… read more here.
Keywords: lamb solution; geometry; solution; stokes equation ... See more keywords