Least-squares spectral element solution of incompressible Navier-Stokes equations with adaptive refinement

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• 作者：Altug Ozcelikkale^a ; ^{aozcelik@purdue.edu} ; Cuneyt Sert^b ; ^{csert@metu.edu.tr}
• 关键词：Least-squares ; Spectral element method ; Incompressible flow ; Adaptive refinement ; Constrained Approximation Method
• 刊名：Journal of Computational Physics
• 出版年：2012
• 期刊代码：136_00219991
• 类别：cp
• 出版时间：1 May, 2012
• 卷：231
• 期：9
• 页码：3755-3769
• 文件大小：1056 K

摘要

Least-squares spectral element solution of steady, two-dimensional, incompressible flows are obtained by approximating velocity, pressure and vorticity variable set on Gauss-Lobatto-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 least-squares 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.