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A Parallel Finite-Element/Spectral LES Algorithm for Complex Two-Dimensional Geometries

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VKI PHDT 2002-06, Deryl Snyder, A Parallel Finite-Element/Spectral LES Algorithm for Complex Two-Dimensional Geometries

A Parallel Finite-Element/Spectral LES Algorithm for Complex Two

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A Parallel Finite-Element/Spectral LES Algorithm for Complex Two-Dimensional Geometries
By Deryl Snyder, 2003
PhD Thesis from the von Karman Institute/ Utah State University (USU), USA, January 2002
Abstract

The field of numerical simulations of turbulent flow is advanced by means of a new large-eddy simulation algorithm. The algorithm assumes a 2D geometry and 3D, periodic flow conditions in the transverse direction. With these assumptions, a combined finite-element/spectral discretization is appropriate, with the in-plane discretization being finite-element and the transverse being spectral. This discretization technique along with special treatment of the nonlinear terms results in a transformation of the 3D problem to a series of 2D problems in Fourier space that are completely decoupled within each time step. As a result of this decoupling, a parallelization scheme is developed where the work is partitioned in Fourier space rather than physical space. Parallel implementation is achieved via the OpenMP standard for shared-memory parallelism. Owing to decreased computational cost, efficient parallelization (for moderate numbers of processors), and use of an unstructured mesh, this algorithm allows the class of problems feasibly modeled using large-eddy simulation to include complex 2D geometries. Development, implementation, and validation of the algorithm is presented, as well as application to the case of turbulent flow past a circular cylinder with an attached wake splitter plate.

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Manufacturer von Karman Institute for Fluid Dynamics

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