A Substepping Navier-Stokes Splitting Scheme for Spectral/hp Element Discretisations

Parallel Computational Fluid Dynamics 2002: New Frontiers and Multi-Disciplinary Applications

Volumn , Issue , 2003, Pages 43-52

  Sherwin, Spencer ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION; GALERKIN METHODS;

ADVECTION ALGORITHMS; ADVECTION-DIFFUSION EQUATION; DISCONTINUOUS GALERKIN FORMULATION; KOVASZNAY PROBLEM; SPECTRAL/HP ELEMENTS; SUB-STEPPING TECHNIQUES; TIME-STEPPING SCHEMES; TWO DIMENSIONAL MODEL;

NAVIER STOKES EQUATIONS;

EID: 28844481596     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-044450680-1/50006-1     Document Type: Chapter

References (10)

1. Couzy W. Spectral Element Discretization of the Unsteady Navier-Stokes Equations and Its Iterative Solution on Parallel Computers. PhD thesis 1995, Ecole Polytechnique Federale de Lausanne.
2. Giraldo F.X. The lagrange-galerkin spectral element method on unstructured quadrilateral grids. J. Comp. Phys 1998, 147:114-146.
3. Guermond J.L., Shen Jie Velocity-correction projection methods for incompressible flows. SIAM J. Numer. Anal. 2002.
4. Karniadakis G.E., Israeli M., Orszag S.A. High-order splitting methods for incompressible Navier-Stokes equations. J. Comp. Phys. 1991, 97:414.
5. Kovasznay L.I.G. Laminar flow behind a two-dimensional grid. Proc. Cambridge Philos. Soc. 1948, 44.
6. Maday Y., Patera A.T., Ronquist E.M. An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow. J. Sci. Comp. 1990, 4:263-292.
7. Orszag S.A., Israeli M., Deville M. Boundary conditions for incompressible flows. J. Sci. Comp. 1986, 1(1):75-111.
8. Petersson N.A. Stability of pressure boundary conditions for stokes and navier-stokes equations. J. Comp. Phys 2001, 172:40-70.
9. H.M. Tufo and P.F. Fischer. Terascale spectral elements: Algorithms and implementations. In direct communication. 2000.
10. Xiu D., Karniadakis G.Em. A semi-lagrangian high-order method, for the navier-stokes equations. J. Comp. Phys. 2001, 172.