In this work, a quasi-optimal spectral solver for the incompressible Navier–Stokes equations is proposed which is able to treat nonperiodic geometries by construction. The method is based on a fractional-step time discretization recently proposed by Guermond andMinev.A Chebyshev–Galerkin spatial discretization is adopted to satisfy the LBB condition while maintaining an efficient treatment of the linear and nonlinear, dealiased, terms. A careful construction of the algorithm allows the computational complexity to grow as CN 3 log N in 3D.
A Quasi-optimal Spectral Method for Turbulent Flows in Non-periodic Geometries
AUTERI, FRANCO
2014-01-01
Abstract
In this work, a quasi-optimal spectral solver for the incompressible Navier–Stokes equations is proposed which is able to treat nonperiodic geometries by construction. The method is based on a fractional-step time discretization recently proposed by Guermond andMinev.A Chebyshev–Galerkin spatial discretization is adopted to satisfy the LBB condition while maintaining an efficient treatment of the linear and nonlinear, dealiased, terms. A careful construction of the algorithm allows the computational complexity to grow as CN 3 log N in 3D.File in questo prodotto:
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