A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries

  • Authors:

  • R. Mittal;H. Dong;M. Bozkurttas;F. M. Najjar;A. Vargas;A. von Loebbecke

  • Affiliations:

  • Department of Mechanical and Aerospace Engineering, The George Washington University, Washington, DC 20052, United States;Department of Mechanical and Aerospace Engineering, The George Washington University, Washington, DC 20052, United States;Department of Mechanical and Aerospace Engineering, The George Washington University, Washington, DC 20052, United States;Center for Simulation of Advanced Rockets, University of Illinois at Urbana-Champaign, Urbana, IL 61801, United States;Department of Mechanical and Aerospace Engineering, The George Washington University, Washington, DC 20052, United States;Department of Mechanical and Aerospace Engineering, The George Washington University, Washington, DC 20052, United States

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2008

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Abstract

A sharp interface immersed boundary method for simulating incompressible viscous flow past three-dimensional immersed bodies is described. The method employs a multi-dimensional ghost-cell methodology to satisfy the boundary conditions on the immersed boundary and the method is designed to handle highly complex three-dimensional, stationary, moving and/or deforming bodies. The complex immersed surfaces are represented by grids consisting of unstructured triangular elements; while the flow is computed on non-uniform Cartesian grids. The paper describes the salient features of the methodology with special emphasis on the immersed boundary treatment for stationary and moving boundaries. Simulations of a number of canonical two- and three-dimensional flows are used to verify the accuracy and fidelity of the solver over a range of Reynolds numbers. Flow past suddenly accelerated bodies are used to validate the solver for moving boundary problems. Finally two cases inspired from biology with highly complex three-dimensional bodies are simulated in order to demonstrate the versatility of the method.