An Adaptive Version of the Immersed Boundary Method

1999/08/01 by Alexandre M. Roma, Alexandre M Roma, Charles S. Peskin +3 · 572 citations
Engineering · Mathematics · #Adaptive mesh refinement #Algorithm #Applied mathematics #Boundary (topology) #Boundary value problem #Compressibility #Computational Fluid Dynamics and Aerodynamics #Computational science #Dykstra's projection algorithm #Finite element method #Fluid Dynamics and Turbulent Flows #Fluid–structure interaction #Geometry #Grid #Immersed boundary method #Lattice Boltzmann Simulation Studies #Mathematical analysis #Mathematical optimization #Mathematics #Mechanics #Physics #Polygon mesh #Projection (relational algebra) #Projection method

paper · doi:10.1006/jcph.1999.6293

published in Journal of Computational Physics 153(2), 509-534 (Elsevier BV)

crossref issued 1999/08/01 · crossref published 1999/08/01 · crossref published-print 1999/08/01 · openalex publication_date 1999/08/01 · crossref created 2002/10/07 · openalex created_date 2016/06/24 · crossref deposited 2019/12/17 · crossref indexed 2026/08/05 · openalex updated_date 2026/08/08

Citations

• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Flow patterns around heart valves: A numerical method
• Numerical solution of the Navier-Stokes equations

Cited by

• A unified mathematical framework and an adaptive numerical method for fluid–structure interaction with rigid, deforming, and elastic bodies
• The immersed boundary method
• IMMERSED BOUNDARY METHODS
• Fluid–structure interaction of multi-body systems: Methodology and applications
• Immersed boundary method [wikipedia]