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Adaptive Wavelet Methods for the Navier-Stokes Equations

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Numerical Flow Simulation II

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 75))

Summary

In this paper we introduce and compare two adaptive wavelet-based Navier—Stokes solvers. The first one uses a Petrov-Galerkin approach for the vorticity-velocity formulation of the Navier—Stokes equations, while the second one is a collocation method for the pressure-velocity formulation. Both codes are applied to the 2D mixing layer test problem and their results are compared to Fourier pseudo—spectral solutions.

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© 2001 Springer-Verlag Berlin Heidelberg

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Schneider, K., Farge, M., Koster, F., Griebel, M. (2001). Adaptive Wavelet Methods for the Navier-Stokes Equations. In: Hirschel, E.H. (eds) Numerical Flow Simulation II. Notes on Numerical Fluid Mechanics (NNFM), vol 75. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44567-8_18

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  • DOI: https://doi.org/10.1007/978-3-540-44567-8_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07485-1

  • Online ISBN: 978-3-540-44567-8

  • eBook Packages: Springer Book Archive

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