Parallel simulation of high reynolds number vascular flows

Parallel Computational Fluid Dynamics 2005

Volumn , Issue , 2006, Pages 219-226

  Fischer, Paul ^a   Loth, Francis ^a   Lee, Sang Wook ^a   Smith, David ^a   Tufo, Henry ^a   Bassiouny, Hisham ^a  

^a ARGONNE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84882458107     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-044452206-1/50026-4     Document Type: Chapter

References (14)

1. Deville M.O., Fischer P.F., Mund E.H. High-order methods for incompressible fluid flow 2002, Cambridge University Press, Cambridge.
2. Fischer P.F. An overlapping Schwarz method for spectral element solutioin of the incompressible Navier-Stokes equations. J. Comput. Phys. 1997, 133:84-101.
3. Fischer P.F., Kruse G.W., Loth F. Spectral element methods for transitional flows in complex geometries. J. Sci. Comput. 2002, 17:81-98.
4. Fischer P.F., Miller N.I., Tufo H.M. An overlapping Schwarz method for spectral element simulation, of three-dimensional incompressible flows. Parallel Solution of Partial Differential Equations (Berlin) 2000, 158-180. Springer. P. Bjørstad, M. Luskin (Eds.).
5. Fischer P.F., Mullen J.S. Filter-based stabilization of spectral element methods. Comptes rendus de l'Acadeémie des sciences Série I- Analyse numérique 2001, 332:265-270.
6. Lee S.W., Fischer P.F., Loth F., Royston T.J., Grogan J.K., Bassiouny H.S. Flow-induced vein-wall vibration in an arteriovenous graft. J. of Fluids and Structures 2005.
7. Loth F., Arslan N., Fischer P.F., Bertram C.D., Lee S.E., Royston T.J., Song R.H., Shaalan W.E., Bassiouny H.S. Transitional flow at the venous anastomosis of an arteriovenous, graft: Potential relationship with activation of the ERK1/2 mechanotransduction pathway. ASME J. Biomech. Engr. 2003, 125:49-61.
8. Lottes J.W., Fischer P.F. Hybrid multigrid/Schwarz algorithms for the spectral element method. J. Sci. Comput. 2005, 24.
9. Maday Y., Patera A.T. Spectral element methods for the Navier-Stokes equations. State-of-the-Art Surveys in Computational Mechanics 1989, 71-143. ASME, New York. A.K. Noor, J.T. Oden (Eds.).
10. Maday Y., Patera A.T., Rønquist E.M. An operator-integration-factor splitting method for time-dependent problems: Application, to incompressible fluid flow. J. Sci. Comput. 1990, 5:263-292.
11. Pothen A., Simon H.D., Liou K.P. Partitioning sparse matrices with eigenvectors of graphs. SIAM J. Matrix Anal. Appl. 1990, 11:430-452.
12. Smith B., Bjørstad P., Gropp W. Domain decomposition: Parallel multilevel methods for elliptic PDEs 1996, Cambridge University Press, Cambridge.
13. Tufo H.M., Fischer P.F. Terascale spectral element algorithms and implementations. Proc. of the ACM/IEEE SC99 Conf. on High Performance Networking and Computing (IEEE Computer Soc.) 1999, CDROM.
14. Tufo H.M., Fischer P.F. Fast parallel direct solvers for coarse-grid problems. J. Parallel Distrib. Comput. 2001, 61.