A spectral projection method for the simulation of complex three-dimensional rotating flows. (English) Zbl 1028.76036
From the authors’ abstract: The paper presents an efficient projection method to solve three-dimensional time-dependent incompressible Navier-Stokes equations in primitive variables using spectral approximations. The method is based on a modification of Goda algorithm and uses a collocation Chebyshev-Fourier approximation. It brings an improvement by introducing a preliminary step for the pressure in order to allow a temporal evolution of normal pressure gradient at the boundaries. The method is applied to the simulation of complex three-dimensional flows in rotating cavities, involving either a through-flow or a differential rotation.
Reviewer: P.Burda (Praha)
MSC:
| 76M22 | Spectral methods applied to problems in fluid mechanics |
| 76U05 | General theory of rotating fluids |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
Keywords:
modified Goda method; projection method; three-dimensional time-dependent incompressible Navier-Stokes equations; primitive variables; spectral approximations; collocation Chebyshev-Fourier approximation; normal pressure gradient; flows in rotating cavities; through-flow; differential rotationReferences:
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