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High order finite difference methods for unsteady incompressible flows in multi-connected domains

Publication ,  Journal Article
Liu, JG; Wang, C
Published in: Computers and Fluids
January 1, 2004

Using the vorticity and stream function variables is an effective way to compute 2-D incompressible flow due to the facts that the incompressibility constraint for the velocity is automatically satisfied, the pressure variable is eliminated, and high order schemes can be efficiently implemented. However, a difficulty arises in a multi-connected computational domain in determining the constants for the stream function on the boundary of the "holes". This is an especially challenging task for the calculation of unsteady flows, since these constants vary with time to reflect the total fluxes of the flow in each sub-channel. In this paper, we propose an efficient method in a finite difference setting to solve this problem and present some numerical experiments, including an accuracy check of a Taylor vortex-type flow, flow past a non-symmetric square, and flow in a heat exchanger. © 2003 Elsevier Ltd. All rights reserved.

Duke Scholars

Published In

Computers and Fluids

DOI

ISSN

0045-7930

Publication Date

January 1, 2004

Volume

33

Issue

2

Start / End Page

223 / 255

Related Subject Headings

  • Applied Mathematics
  • 4012 Fluid mechanics and thermal engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0102 Applied Mathematics
 

Citation

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Liu, J. G., & Wang, C. (2004). High order finite difference methods for unsteady incompressible flows in multi-connected domains. Computers and Fluids, 33(2), 223–255. https://doi.org/10.1016/S0045-7930(03)00037-9
Liu, J. G., and C. Wang. “High order finite difference methods for unsteady incompressible flows in multi-connected domains.” Computers and Fluids 33, no. 2 (January 1, 2004): 223–55. https://doi.org/10.1016/S0045-7930(03)00037-9.
Liu JG, Wang C. High order finite difference methods for unsteady incompressible flows in multi-connected domains. Computers and Fluids. 2004 Jan 1;33(2):223–55.
Liu, J. G., and C. Wang. “High order finite difference methods for unsteady incompressible flows in multi-connected domains.” Computers and Fluids, vol. 33, no. 2, Jan. 2004, pp. 223–55. Scopus, doi:10.1016/S0045-7930(03)00037-9.
Liu JG, Wang C. High order finite difference methods for unsteady incompressible flows in multi-connected domains. Computers and Fluids. 2004 Jan 1;33(2):223–255.
Journal cover image

Published In

Computers and Fluids

DOI

ISSN

0045-7930

Publication Date

January 1, 2004

Volume

33

Issue

2

Start / End Page

223 / 255

Related Subject Headings

  • Applied Mathematics
  • 4012 Fluid mechanics and thermal engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0102 Applied Mathematics