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Unstructured Spectral Element Methods for Simulation of Turbulent Flows by Ronald D. Henderson; George Em Karniadakis is a Engineering article available to read on EtoBox.

What is Unstructured Spectral Element Methods for Simulation of Turbulent Flows about?

In this paper we present a spectral element-Fourier algorithm for simulating incompressible turbulent flows in complex geometries using unstructured quadrilateral meshes. To this end, we compare two different interface formulations for extending the conforming spectral element method in order to allow for surgical mesh refinement and still retain spectral accuracy: the Zanolli iterative procedure and variational patching based on auxiliary "mortar" functions. We present an interpretation of the original mortar element method as a patching scheme and develop direct and iterative solution techniques that make the method efficient for simulations of turbulent flows. The properties of the new method are analyzed in detail by studying the eigenspectra of the advection and diffusion operators. We then present numerical results that illustrate the flexibility as well as the exponential convergence of the new algorithm for nonconforming discretizations. We conclude with simulation studies of the turbulent cylinder wake at \(\operatorname{Re}=1000\) (external flow) and turbulent flow over riblets at \(\operatorname{Re}=\mathbf{3 2 8 0}\) (internal flow). (0) 1995 Acadernic Press, inc.

Who reads Unstructured Spectral Element Methods for Simulation of Turbulent Flows?

Author

Ronald D. Henderson; George Em Karniadakis

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV; Test accounts (ISSN 0021-9991)

Published

1995

Language

EN

Field

Engineering (Physical Sciences)