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Numerical Studies of Higher Order Variational Time Stepping Schemes for Evolutionary Navier-Stokes Equations

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Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 120))

Abstract

We present in this paper numerical studies of higher order variational time stepping schemes combined with finite element methods for simulations of the evolutionary Navier-Stokes equations. In particular, conforming inf-sup stable pairs of finite element spaces for approximating velocity and pressure are used as spatial discretization while continuous Galerkin–Petrov methods (cGP) and discontinuous Galerkin (dG) methods are applied as higher order variational time discretizations. Numerical results for the well-known problem of incompressible flows around a circle will be presented.

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Authors and Affiliations

  1. Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Mohrenstr. 39, 10117, Berlin, Germany

    Naveed Ahmed

  2. Technische Universität Dresden, Institut für Numerische Mathematik, 01062, Dresden, Germany

    Gunar Matthies

Authors
  1. Naveed Ahmed
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  2. Gunar Matthies
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Correspondence to Naveed Ahmed .

Editor information

Editors and Affiliations

  1. Dept. of Mathematical Sciences, Tsinghua University, Beijing, China

    Zhongyi Huang

  2. Applied and Computational Mathematics, Beijing Computational Science Research Center, Beijing, China

    Martin Stynes

  3. Applied and Computational Mathematics, Beijing Computational Science Research Center, Beijing, China

    Zhimin Zhang

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Ahmed, N., Matthies, G. (2017). Numerical Studies of Higher Order Variational Time Stepping Schemes for Evolutionary Navier-Stokes Equations. In: Huang, Z., Stynes, M., Zhang, Z. (eds) Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016. Lecture Notes in Computational Science and Engineering, vol 120. Springer, Cham. https://doi.org/10.1007/978-3-319-67202-1_2

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