Application of the GSMAC-CIP Method to Incompressible Navier-Stokes Equations at High Reynolds Numbers

International Journal of Computational Fluid Dynamics

Volumn 12, Issue 3-4, 1999, Pages 301-314

  Makihara, Takafumi ^a   Shibata, Etsutaro ^a   Tanahashi, Takahiko ^a  

^a KEIO UNIVERSITY   (Japan)

Author keywords

Cavity flow; CIP method; Finite element method; GSMAC CIP

Indexed keywords

EID: 0033260090     PISSN: 10618562     EISSN: None     Source Type: Journal    
DOI: 10.1080/10618569908940834     Document Type: Article

References (10)

1. Fujieda, T., et al. (1997). Development of a New Numerical Method for Visco-Elastic Flows Using the GSMAC-Method and the MUSCL-TVD Method (Flows of Maxwell Fluid through Planer Abrupt Contraction), Trans. Jpn. Soc. Mech. Eng. (in Japanese), B63(610), 1987.
2. Hughes, T. J. R. (1995). Multiscale Phenomena: Green's Functions, the Dirichlet-to-Neumann Formulation, Subgrid Scale Models, Bubbles and the Origins of Stabilized Methods, Comput. Methods Appl. Mech. Eng., 127, 387.
3. Tanahashi, T. and Oki, Y. (1996). New Hybrid-Streamline-Upwind Finite-Element Method in Dual Space (Fundamental Theory and Discrete Del Operator), JSME Int. Jour., Series B, 39(1), 28.
4. Yabe, T. et al. (1991). A Universal Solver for Hyperbolic Equations by Cubic-polynomial Interpolation, Comput. Phys. Commun., 66, 219.
5. Ide, Y. and Tosaka, N. (1996). Approximation Analysis of Unsteady Incompressible Viscous Flow Problem by CIP-FEM, Trans. Jpn. Soc. Mech. Eng. (in Japanese), B62(597), 1679.
6. Ikeda, H. and Shioda, K. (1996). Numerical Analysis of Natural Convection at High Rayleigh Numbers using the GSMAC-CIP Method, 9th Computational Mechanics Conference (in Japanese), p. 279.
7. Makihara, T., Tanahashi, T. and Matsumoto, M. (1997). Finite Element Method for CIP Method (Verification of Three-D Advection Equation), Trans. Jpn. Soc. Mech. Eng. (in Japanese), B63(609), 1612.
8. Makihara, T. and Tanahashi, T. (1998). Verification of CIP Finite-Element Method by 2D-Advection Diffusion Equations, Trans. Jpn. Soc. Mech. Eng. (in Japanese), B64(624), 2409.
9. Kato, Y. and Tanahashi, T. (1992). Finite Element Method for Three-Dimensional Incompressible Viscous Flow Using Simultaneous Relaxation of Velocity and Bernoulli Function (Flow in a Lid-Driven Cubic Cavity at Re = 5000), JSME Int. Jour., Series B, 35(3), 346.
10. Ghia, U., Ghia, K. N. and Shin, C. T. (1982). High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method, J. Comput. Phys., 48, 387.