Using coordinate transformation of NavierStokes equations to solve flow in multiple helical geometries

Journal of Computational and Applied Mathematics

Volumn 234, Issue 7, 2010, Pages 2069-2079

  Cookson, A N ^a   Doorly, D J ^a   Sherwin, S J ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Arterio venous shunt; Bypass graft; Coordinate mapping; Helical pipe; Mixing; Spectral hp; Spline

Indexed keywords

BYPASS GRAFT; CO-ORDINATE TRANSFORMATION; COMPONENT GEOMETRIES; COORDINATE MAPPING; CORRESPONDING SOLUTIONS; FOURIER DECOMPOSITION; HELICAL PIPE; HIGH-ORDER; INCREASE IN PRESSURE; MIXING BEHAVIOUR; SMALL AMPLITUDE; SPECTRAL/HP; VELOCITY FIELD;

COMPUTATIONAL GEOMETRY; GRAFTING (CHEMICAL); GRAFTS; PIPE; SCAFFOLDS; SPLINES;

MIXING;

EID: 77955308117     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2009.08.065     Document Type: Conference Paper

References (10)

1. A.J. Bryan, and G.D. Angelini The biology of saphenous vein graft occlusion: Etiology and strategies for prevention Current Opinion in Cardiology 9 6 1994
2. C.G. Caro, N.J. Cheshire, and N. Watkins Preliminary comparative study of small amplitude helical and conventional eptfe arteriovenous shunts in pigs Journal of the Royal Society Interface 2 2005 261 266
3. H.J.T.A.M. Huijbregts, P.J. Blankestijn, C.G. Caro, N.J.W. Cheshire, M.T.C. Hoedt, R.P. Tutein Nolthenius, and F.L. Moll A helical ptfe arteriovenous access graft to swirl flow across the distal anastomosis: Results of a preliminary clinical study European Journal of Vascular and Endovascular Surgery 33 4 2007 472 475
4. A.N. Cookson, D.J. Doorly, and S.J. Sherwin Mixing through stirring of steady flow in small amplitude helical tubes Annals of Biomedical Engineering 37 4 2009 710 721
5. S.W. Jones, O.M Thomas, and H. Aref Chaotic advection by laminar flow in a twisted pipe Journal of Fluid Mechanics 209 1989 335 357
6. H. Aref Stirring by chaotic advection Journal of Fluid Mechanics 143 1984 1 21
7. D Newman, A computational study of fluid/structure interactions: flow-induced vibrations of a flexible cable, Ph.D. Thesis, Princeton University, 1996
8. W.H. Koberg, Turbulence control for drag reduction with active wall deformation, Ph.D. Thesis, Imperial College London, 2008
9. S.J. Sherwin, and G.E. Karnaidakis Spectral/hp Element Methods for Computational Fluid Dynamics 2005 Oxford Science Publications
10. M.G. Blyth, A.J. Mestel, and L. Zabielski Arterial bends: The development and decay of helical flows Biorheology 39 2002 345 350