Volume 2, Issue 3
A Numerical Comparison of Outflow Boundary Conditions for Spectral Element Simulations of Incompressible Flows

C. Xu & Y. Lin


Commun. Comput. Phys., 2 (2007), pp. 477-500.

Published online: 2007-02

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  • Abstract

Outflow boundary conditions (OBCs) are investigated for calculation of incompressible flows by spectral element methods. Several OBCs, including essential-type, natural-type, periodic-type and advection-type, are compared by carrying out a series of numerical experiments. Especially, a simplified form of the so-called Orlanski's OBCs is proposed in the context of spectral element methods, for which a new treatment technique is used. The purpose of this paper is to find stable low-reflective OBCs, suitable and flexible for use of spectral element methods in simulation of incompressible flows in complex geometries. The computation is firstly carried out for a 2D simulation of Poiseuille-Bénard channel flow with Re=10, Ri=150 and Pr=2/3. This flow serves as a useful example to demonstrate the applicability of the proposed OBCs because it exhibits a feature of vortex shedding propagating through the outflow boundary. Then a 3D flow around an obstacle is computed to show the efficiency in the case of more general geometries. Among the tested OBCs, the advection-type OBCs are proven to have better behavior as compared with the others.

  • Keywords

Spectral element methods, outflow boundary conditions, incompressible flows.

  • AMS Subject Headings

65M70, 74S25, 76M22

  • Copyright

COPYRIGHT: © Global Science Press

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