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Least-squares spectral element solution of incompressible Navier-Stokes equations with adaptive refinement
Date
2012-05-01
Author
Ozcelikkale, Altug
Sert, Cüneyt
Metadata
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Least-squares spectral element solution of steady, two-dimensional, incompressible flows are obtained by approximating velocity, pressure and vorticity variable set on GaussLobatto-Legendre nodes. Constrained Approximation Method is used for h- and p-type nonconforming interfaces of quadrilateral elements. Adaptive solutions are obtained using a posteriori error estimates based on least squares functional and spectral coefficient. Effective use of p-refinement to overcome poor mass conservation drawback of leastsquares formulation and successful use of h- and p-refinement together to solve problems with geometric singularities are demonstrated. Capabilities and limitations of the developed code are presented using Kovasznay flow, flow past a circular cylinder in a channel and backward facing step flow.
Subject Keywords
Least-squares
,
Spectral element method
,
Incompressible flow
,
Adaptive refinement
,
Constrained Approximation Method
URI
https://hdl.handle.net/11511/46272
Journal
JOURNAL OF COMPUTATIONAL PHYSICS
DOI
https://doi.org/10.1016/j.jcp.2012.01.024
Collections
Department of Mechanical Engineering, Article
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A. Ozcelikkale and C. Sert, “Least-squares spectral element solution of incompressible Navier-Stokes equations with adaptive refinement,”
JOURNAL OF COMPUTATIONAL PHYSICS
, pp. 3755–3769, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46272.