Immersed boundary methods coupled with adaptive mesh refinement (AMR) are a powerful tool to solve complex viscous incompressible flow problems, especially in the presence of moving and deforming boundaries. Immersed boundary methods have been traditionally used in the framework of fractional step formulations for temporal integration and are generally coupled to logically structured grids, where the elliptic problem for the pressure is solved using fast solution techniques. In many situations, especially at large Reynolds numbers, adaptive clustering of fluid grid points on large gradient regions is desirable. This article gives an overview of currently available AMR tools, with an emphasis on block structured grids that are a natural fit to immersed boundary methods, and discusses future trends.
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Department of Mechanical and
Aerospace Engineering,
The George Washington University,
e-mail: mvanella@gwu.edu
Department of Mechanical and
Aerospace Engineering,
The George Washington University,
e-mail: aposa@gwu.edu
Article navigation
April 2014
Special Section Articles
Adaptive Mesh Refinement for Immersed Boundary Methods
Marcos Vanella,
Department of Mechanical and
Aerospace Engineering,
The George Washington University,
e-mail: mvanella@gwu.edu
Marcos Vanella
Post Doctoral Scientist
Department of Mechanical and
Aerospace Engineering,
The George Washington University,
Washington, DC 20052
e-mail: mvanella@gwu.edu
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Antonio Posa,
Department of Mechanical and
Aerospace Engineering,
The George Washington University,
e-mail: aposa@gwu.edu
Antonio Posa
Post Doctoral Scientist
Department of Mechanical and
Aerospace Engineering,
The George Washington University,
Washington, DC 20052
e-mail: aposa@gwu.edu
Search for other works by this author on:
Elias Balaras
Elias Balaras
1
Professor
Aerospace Engineering,
The George Washington University,
e-mail: balaras@gwu.edu
Department of Mechanical and
Aerospace Engineering,
The George Washington University,
Washington, DC 20052
e-mail: balaras@gwu.edu
1Corresponding author.
Search for other works by this author on:
Marcos Vanella
Post Doctoral Scientist
Department of Mechanical and
Aerospace Engineering,
The George Washington University,
Washington, DC 20052
e-mail: mvanella@gwu.edu
Antonio Posa
Post Doctoral Scientist
Department of Mechanical and
Aerospace Engineering,
The George Washington University,
Washington, DC 20052
e-mail: aposa@gwu.edu
Elias Balaras
Professor
Aerospace Engineering,
The George Washington University,
e-mail: balaras@gwu.edu
Department of Mechanical and
Aerospace Engineering,
The George Washington University,
Washington, DC 20052
e-mail: balaras@gwu.edu
1Corresponding author.
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received March 12, 2013; final manuscript received December 5, 2013; published online February 28, 2014. Assoc. Editor: Zhongquan Charlie Zheng.
J. Fluids Eng. Apr 2014, 136(4): 040909 (9 pages)
Published Online: February 28, 2014
Article history
Received:
March 12, 2013
Revision Received:
December 5, 2013
Citation
Vanella, M., Posa, A., and Balaras, E. (February 28, 2014). "Adaptive Mesh Refinement for Immersed Boundary Methods." ASME. J. Fluids Eng. April 2014; 136(4): 040909. https://doi.org/10.1115/1.4026415
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