An adaptive version of the Immersed Boundary Method

Journal Article · Tue Aug 10 04:00:00 EDT 1999 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1999.6293· OSTI ID:687484

Roma, A M ^[1]; Peskin, C S; Berger, M J ^[2]

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1. Univ. de Sao Paulo (Brazil). Inst. de Matematica e Estatistica
2. New York Univ., NY (United States). Courant Inst. of Mathematical Sciences

A computational setting for the Immersed Boundary Method employing an adaptive mesh refinement is presented. Enhanced accuracy for the method is attained locally by covering an immersed boundary vicinity with a sequence of nested, progessively finer rectangular grid patches which dynamically follow the immersed boundary motion. The set of equations describing the interaction between a nonstationary, viscous incompressible fluid and an immersed elastic boundary is solved by coupling a projection method, specially designed for locally refined meshes, to an implicit formulation of the Immersed Boundary Method. The main contributions of this work concern the formulation and the implementation of a multilevel self-adaptive version of the Immersed Boundary Method on locally refined meshes. This approach is tested for a particular two-dimensional model problem, for which no significant difference is found between the solutions obtained on a mesh refined locally around the immersed boundary, and on the associated uniform mesh, built with the resolution of the finest level.

• Sponsoring Organization: National Science Foundation, Washington, DC (United States); USDOE, Washington, DC (United States)
• DOE Contract Number: FG02-92ER25139
• OSTI ID: 687484
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 153; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 GENERAL AND MISCELLANEOUS
CALCULATION METHODS
FLUID MECHANICS
INCOMPRESSIBLE FLOW
MESH GENERATION
TWO-DIMENSIONAL CALCULATIONS