Chebyshev spectral collocation method approximations of the Stokes eigenvalue problem based on penalty techniques

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2017-09-30

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Türk, Önder

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http://www.uib.no/en/enumath2017
https://hdl.handle.net/11511/76519

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Chebyshev spectral collocation method approximations of the Stokes eigenvalue problem based on penalty techniques Türk, Önder (Elsevier BV, 2019-11-01) Numerical solution strategies for the Stokes eigenvalue problem based on the use of penalty formulations are investigated in this study. It is shown that the penalty method approach can successfully be adapted for the eigenproblem to rectify the associated problems such as the existence of zero diagonal entries in the resulting algebraic system. Two different schemes, namely, the standard penalisation with a small penalty parameter, and the iterative penalisation that enables relatively large parameters, ar...
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Chebyshev Spectral Collocation Method for Natural Convection Flow of a Micropolar Nanofluid in the Presence of a Magnetic Field Türk, Önder (2016-01-01) The two-dimensional, laminar, unsteady natural convection flow of a micropolar nanofluid (Al2O3-water) in a square enclosure under the influence of a magnetic field, is solved numerically using the Chebyshev spectral collocation method (CSCM). The nanofluid is considered as Newtonian and incompressible, and the nanoparticles and water are assumed to be in thermal equilibrium. The governing equations in nondimensional form are given in terms of stream function, vorticity, micrototaion and temperature. The co...
Chebyshev Spectral Collocation Method for Unsteady Mhd Flow and Heat Transfer of a Dusty Fluid Between Parallel Plates Turk, Onder; Tezer, Münevver (2013-07-03) The unsteady magnetohydrodynamic flow of a dusty fluid and heat transfer between parallel plates in which the electrically conducting fluid has temperature-dependent viscosity is studied. Both the fluid and the dust particles are governed by the coupled set of momentum and energy equations. The Chebyshev spectral method in space and implicit backward difference in time procedure is presented, introducing physically Navier-slip conditions for both the fluid and dust particle velocities. The Hartmann number, ...

Citation Formats

Ö. Türk, “Chebyshev spectral collocation method approximations of the Stokes eigenvalue problem based on penalty techniques,” 2017, Accessed: 00, 2021. [Online]. Available: http://www.uib.no/en/enumath2017.