Numerical Simulation of Wall-Bounded Flows using a Spectral Method with Volume Penalization
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The volume penalization method, which allows to impose no-slip boundary conditions, is assessed for wall-bounded flows. For the numerical solution of the penalized equations a spectral method is used. Considering a two-dimensional Poiseuille flow, the solution of the Navier-Stokes penalized equation is computed analytically and the convergence of the numerical solution is studied. To illustrate the properties of the approach we compute a three-dimensional turbulent channel flow imposing a constant flow rate. The obtained results are compared with reference data of Kim et al. [10].
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1978 ◽
Vol 12
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pp. 303-323
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2015 ◽
Vol 66
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pp. 1077-1101
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2011 ◽
Vol 35
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pp. 257-267
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2013 ◽
Vol 58
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pp. 249-274
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1986 ◽
Vol 108
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pp. 93-102
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