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Large‐eddy simulation with complex 2‐D geometries using a parallel finite‐element/spectral algorithm
Author(s) -
Snyder D. O.,
Degrez G.
Publication year - 2003
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.486
Subject(s) - discretization , finite element method , spectral method , mathematics , temporal discretization , galerkin method , large eddy simulation , fast fourier transform , fourier transform , mathematical analysis , algorithm , computational fluid dynamics , geometry , physics , mechanics , turbulence , thermodynamics
A parallel stabilized finite‐element/spectral formulation is presented for incompressible large‐eddy simulation with complex 2‐D geometries. A unique discretization scheme is developed consisting of a streamline‐upwind Petrov–Galerkin/Pressure‐Stabilized Petrov–Galerkin (SUPG/PSPG) finite‐element discretization in the 2‐D plane with a collocated spectral/pseudospectral discretization in the out‐of‐plane direction. This formulation provides an efficient approach for solving 3‐D flows over arbitrary 2‐D geometries. Utilizing this discretization and through explicit temporal treatment of the non‐linear terms, the system of equations for each Fourier mode is decoupled within each time step. A novel parallelization approach is then taken, where the computational work is partitioned in Fourier space. A validation of the algorithm is presented via comparison of results for flow past a circular cylinder with published values for Re =195, 300, and 3900. Copyright © 2003 John Wiley & Sons, Ltd.