Equal-order interpolations: A unified approach to stabilize the incompressible and advective effects

Computer Methods in Applied Mechanics and Engineering

Volumn 143, Issue 3-4, 1997, Pages 317-331

  Storti, M ^a   Nigro, N ^a   Idelsohn, S ^a  

^a UNIVERSIDAD NACIONAL DEL LITORAL   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBLE FLOW; DIFFUSION; INTERPOLATION; LAMINAR FLOW; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; STABILITY; TESTING;

ADVECTIVE DIFFUSIVE MULTIDIMENSIONAL SYSTEMS; ADVECTIVE EFFECTS; INCOMPRESSIBLE EFFECTS; PETROV-GALERKIN CONTEXT;

NAVIER STOKES EQUATIONS;

COMPRESSIBLE FLOW; NAVIER-STOKES EQUATIONS;

EID: 0031126588     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01152-8     Document Type: Article

References (14)

1. T.J.R. Hughes, L. Franca and M. Balestra, A new finite element formulation for CFD: V. Circumventing the Babuska-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations, Comput. Methods Appl. Mech. Engrg. 59 (1986) 85-99.
2. S.L. Frey, L.P. Franca and R. Sampaio, Stabilized methods for the incompressible Navier-Stokes flow, in: H. Alder et al., eds., Numerical Methods in Engineering and Applied Sciences, Proc. International Congress on Numerical Methods in Engineering and Applied Sciences, Concepción, Chile, 16-20 November, 1992.
3. O.C. Zienkiewicz, J. Szmelter and J. Peraire, Compressible and incompressible flow: an algorithm for all seasons, Comput. Methods Appl. Mech. Engrg. 78 (1990) 105-121.
4. O.C. Zienkiewicz and J. Wu, Incompressibility without tears - How to avoid restrictions on mixed formulations, Int. J. Numer. Methods Engrg. 32 (1991/1992) 1189-1204.
5. M. Storti, N. Nigro and S. Idelsohn, Stabilizing equal-order interpolations for mixed formulations of Navier-Stokes equations, in: E. Oñate, ed., Numerical Methods in Engineering and Applied Sciences, Proc. 8th International Conference on Finite Elements in Fluids, Barcelona, Spain, 20-24 November, 1993 (Pineridge Press and CIMNE, Barcelona, 1993) 194-202.
6. T.J.R. Hughes and T.E. Tezduyar, Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations, Comput. Methods Appl. Mech. Engrg. 45 (1984) 217-284.
7. T.J.R. Hughes, M. Mallet and A. Mizukami, A new finite element method for CFD: II. Beyond SUPG, Comput. Methods Appl. Mech. Engrg. 54 (1986) 341-355.
8. T.J.R. Hughes and M. Mallet, A new finite element method for CFD: IV A discontinuity-capturing operator for multidimensional advective-diffusive systems, Comput. Methods Appl. Mech. Engrg. 58 (1986) 329-336.
9. M. Mallet, A finite element method for CFD, Ph.D Thesis, Stanford University, November 1985.
10. C. Baiocchi, F. Brezzi and L. Franca, Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.), Comput. Methods Appl. Mech. Engrg. 105 (1993) 125-141.
11. C. Baumann, M. Storti and S. Idelsohn, A Petrov-Galerkin technique for the solution of transonic and supersonic flows, Comput. Methods Appl. Mech. Engrg. 95 (1992) 49-70.
12. M. Storti, C. Baumann and S. Idelsohn, A preconditioning mass matrix to accelerate the convergence to the steady Euler solutions using explicit schemes, Int. J. Numer. Methods Engrg. 34 (1992) 519-541.
13. R. Schreiber and H.P. Keller, Driven cavity flows by efficient numerical techniques, J. Comput. Phys. 49 (1983) 310-333.
14. A. Lippke and H. Wagner, Numerical solution of the Navier-Stokes equations in multiply domains connected, Comput. Fluids 20(1) (1991) 19-27.