Numerical Simulation of Vortex-Dipole Wall Interactions Using an Adaptive Wavelet Discretization with Volume Penalisation

Kai Schneider () and Marie Farge ()
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Kai Schneider: Université de Provence, LMSNM-CNRS & CMI
Marie Farge: Ecole Normale Supérieure, LMD-CNRS

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 822-830 from Springer

Abstract: Abstract We present an adaptive wavelet method for solving the incompressible Navier-Stokes equations in two space dimensions using the vorticity-stream function formulation. For time discretization a semi-implicit scheme of second order is used. The space discretization is based on a Petrov-Galerkin method, where orthogonal spline wavelets of 4th order are employed as trial functions and operator adapted wavelets as test functions. The no-slip boundary conditions are imposed using a volume penalisation method. As example we present adaptive simulations of vortexdipole wall interactions.

Keywords: Slip Boundary Condition; Wavelet Method; Orthogonal Wavelet; Adaptive Wavelet; Vortex Dipole (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_81

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DOI: 10.1007/978-3-540-34288-5_81

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