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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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@Article{CiCP-2-477, author = {C. Xu and Y. Lin}, title = {A Numerical Comparison of Outflow Boundary Conditions for Spectral Element Simulations of Incompressible Flows}, journal = {Communications in Computational Physics}, year = {2007}, volume = {2}, number = {3}, pages = {477--500}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7914.html} }
TY - JOUR T1 - A Numerical Comparison of Outflow Boundary Conditions for Spectral Element Simulations of Incompressible Flows AU - C. Xu & Y. Lin JO - Communications in Computational Physics VL - 3 SP - 477 EP - 500 PY - 2007 DA - 2007/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7914.html KW - Spectral element methods, outflow boundary conditions, incompressible flows. AB -

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.

C. Xu and Y. Lin. (2007). A Numerical Comparison of Outflow Boundary Conditions for Spectral Element Simulations of Incompressible Flows. Communications in Computational Physics. 2 (3). 477-500. doi:
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