Title
An adaptive, formally second order accurate version of the immersed boundary method
Abstract
In this note, we examine the implications of Cahn-Hilliard diffusion on mass conservation when using a phase-field model for simulating two-phase flows. Even though the phase-field variable @f is conserved globally, a drop shrinks spontaneously while ...
Year
DOI
Venue
2007
10.1016/j.jcp.2006.08.019
J. Comput. Physics
Keywords
Field
DocType
adaptive mesh refinement,fluid–structure interaction,74s20,immersed boundary method,hemodynamics,projection method,65m50,76d05,65m06,phase-field variable,mass conservation,cahn-hilliard diffusion,boundary method,two-phase flow,blood flow,convergence,phase-field model,order accurate version,92c10,cardiac mechanics,92c35,incompressible flow,higher order,second order,incompressible fluid,convergence rate,boundary layer,three dimensional
Immersed boundary method,Order of accuracy,Mathematical optimization,Mathematical analysis,Adaptive mesh refinement,Projection method,Boundary layer,Rate of convergence,Incompressible flow,Mathematics,Fluid–structure interaction
Journal
Volume
Issue
ISSN
223
1
Journal of Computational Physics
Citations 
PageRank 
References 
51
3.32
13
Authors
4
Name
Order
Citations
PageRank
Boyce E. Griffith113914.29
Richard D. Hornung217119.06
David M. McQueen3708.77
Charles S. Peskin429758.25