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Application of Level Set / Immersed-Boundary Method to Simulate Fluid-Fluid and Fluid-Solid Problems

[+] Author Affiliations
C. H. Yu, Tony W. H. Sheu

National Taiwan University, Taipei, Taiwan

Paper No. AJK2011-10032, pp. 2565-2570; 6 pages
doi:10.1115/AJK2011-10032
From:
  • ASME-JSME-KSME 2011 Joint Fluids Engineering Conference
  • ASME-JSME-KSME 2011 Joint Fluids Engineering Conference: Volume 1, Symposia – Parts A, B, C, and D
  • Hamamatsu, Japan, July 24–29, 2011
  • Conference Sponsors: Fluids Engineering Division
  • ISBN: 978-0-7918-4440-3
  • Copyright © 2011 by ASME

abstract

Free surface generated by a complex structure will be predicted in Cartesian grids by our proposed approach, which combines the immersed boundary and level set methods to model the solid-fluid and fluid-fluid interface, respectively. For accurately predicting the level set value, the spatial derivative terms in the pure advection equation are approximated by the seventh-order accurate upwinding combined compact difference scheme. For ensuring that the predicted interface has a finite thickness all the time, the re-initialization equation is used. In the immersed boundary method we proposed a differential based interpolation scheme at points near the solid boundaries. The discretized linear system of Poisson pressure equation is solved using the DFC (Divergence free compensated) method. Dam-break flow at the Reynolds number Re = 42792 is modeled to get the results that agree well with the experiment data. For the verification of the level set / immersed boundary method, water column collapsed over a submerged structure is also investigated.

Copyright © 2011 by ASME
Topics: Fluids

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