Two-dimensional implicit time-dependent calculations on adaptive unstructured meshes with time evolving boundaries

Paul T. Lin, Timothy J. Baker, Luigi Martinelli, Antony Jameson

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


An implicit multigrid-driven algorithm for two-dimensional incompressible laminar viscous flows has been coupled with a solution adaptation method and a mesh movement method for boundary movement. Time-dependent calculations are performed implicitly by regarding each time step as a steady-state problem in pseudo-time. The method of artificial compressibility is used to solve the flow equations. The solution mesh adaptation method performs local mesh refinement using an incremental Delaunay algorithm and mesh coarsening by means of edge collapse. Mesh movement is achieved by modeling the computational domain as an elastic solid and solving the equilibrium equations for the stress field. The solution adaptation method has been validated by comparison with experimental results and other computational results for low Reynolds number flow over a shedding circular cylinder. Preliminary validation of the mesh movement method has been demonstrated by a comparison with experimental results of an oscillating airfoil and with computational results for an oscillating cylinder.

Original languageEnglish (US)
Pages (from-to)199-218
Number of pages20
JournalInternational Journal for Numerical Methods in Fluids
Issue number2
StatePublished - Jan 20 2006

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics


  • Artificial compressibility
  • Moving boundaries
  • Solution adaptation
  • Time-dependent calculation
  • Unstructured mesh


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