Adaptive finite element simulations of the surface currents in the North Sea

Computer Methods in Applied Mechanics and Engineering

Volumn 166, Issue 3-4, 1998, Pages 379-390

  Wille, S O ^a  

^a OSLO METROPOLITAN UNIVERSITY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DIFFUSION IN LIQUIDS; FINITE ELEMENT METHOD; HEAT CONVECTION; MATRIX ALGEBRA; NAVIER STOKES EQUATIONS; OCEAN CURRENTS; PRESSURE EFFECTS; REYNOLDS NUMBER; VECTORS; VORTEX FLOW;

COURANT NUMBER; SYMMETRIC CONJUGATE GRADIENT ALGORITHMS;

COMPUTATIONAL FLUID DYNAMICS;

CURRENT; FINITE ELEMENT METHOD; NAVIER-STOKES EQUATIONS;

CURRENT; FINITE ELEMENT METHOD; NAVIER-STOKES EQUATIONS;

NORTH SEA;

EID: 0032573315     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00102-9     Document Type: Article

References (15)

1. [1] S.Ø. Wille, A structured Tri-Tree search method for generation of optimal unstructured finite element grids in two and three dimensions, Int. J. Numer. Methods Fluids 14 (1992) 861-881.
2. [2] S.Ø. Wille, Adaptive linearization and grid iterations with the Tri-Tree multigrid refinement - Recoarsement algorithm for the Navier-Stokes equations, Int. J. Numer. Methods Fluids (1996) in press.
3. [3] S.Ø. Wille, A non-linear adaptive Tri-Tree multigrid solver for mixed finite element formulation of the Navier-Stokes equations, Int. J. Numer. Methods Fluids 22 (1996) 1041-1059.
4. [4] S.Ø. Wille, A local predictive convection-diffusion refinement indicator for the Tri-Tree adapted finite element multigrid algorithm of the Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 134 (1996) 181-196.
5. [5] S.Ø. Wille, The prolonged adaptive multigrid method for finite element Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 138 (1996) 227-271.
6. [6] S.Ø. Wille, The three dimensional prolonged adaptive unstructured finite element multigrid method for The Navier-Stokes equations, Int. J. Numer. Methods Fluids 25 (1997) 371-392.
7. [7] Y. Kallinderis, Adaptive hybrid prismatic/tetrahedral grids, Int. J. Numer. Methods Fluids 20 (1992) 1023-1037.
8. [8] D.M. Greaves and A.G.L. Borthwick, Computation of flow past a square cylinder using adaptive hierarchical mesh in: Proc. 14th Int. Conf. on Offshore Mechanic and Arctic Engineering, Copenhagen, Denmark 1995.
9. [9] D.M. Greaves, A.G.L. Borthwick, R. Eatock Taylor and G.X. Wu, Analysis of wave-body interactions using adaptive finite element meshes in: Proc. 10th Int. Workshop on Water Waves and Floating Bodies, Oxford, UK, 1995.
10. [10] D.M. Greaves, A.G.L. Borthwick, R. Eatock Taylor and G.X. Wu, A moving boundary finite element method for fully nonlinear wave simulations, J. Ship Res. 41 (1997) 181-194.
11. [11 A.M. Bruaset and H.P. Langtangen, Object-oriented design of preconditioned iterative methods in Diffpack, ACM Trans. Math. Software 23 (1997) 50-80.
12. [12] G. Ren and T. Utnes, A finite element solution of the time-dependent Navier-Stokes equations using a modified velocity correction method, Int. J. Numer. Methods Fluids 17 (1993) 349-364.
13. [13] R. Codina, M. Vazquez and O.C. Zienkiewicz, A general algorithm for compressible and incompressible flow. Part III: The semi-implicit form, Int. J. Numer. Methods Fluids 27 (1998) 13-32.
14. [14] J.T. Oden and S. Prudhomme, New approaches to error estimation and adaptivity for the Navier-Stokes equations, Proc. of the Tenth Int. Conf. on Finite Elements in Fluids. Tucson, Arizona (1998) 144-149.
15. [15] S.Ø. Wille, D. Skipitaris, A dynamic adaption algorithm of grid, time and satellite processors for nodal finite element formulations of Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg. 161 (1998) 215-228.