Refinement Indicator for Mesh Adaption in Shallow-Water Modeling

Journal of Hydraulic Engineering

Volumn 132, Issue 8, 2006, Pages 854-857

  Tate, Jennifer N ^a   Berger, R C ^a   Stockstill, Richard L ^a  

^a US ARMY ENGINEER RESEARCH AND DEVELOPMENT CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COARSENING; EQUATIONS OF MOTION; MESH GENERATION; APPROXIMATION THEORY; COMPUTATIONAL METHODS; COMPUTER SIMULATION; HYDRODYNAMICS; MATHEMATICAL MODELS;

ADAPTIVE PROCEDURE; AUTOMATIC ADAPTIVE; AUTOMATIC MESH REFINEMENTS; COMPUTATIONAL ERROR; COMPUTATIONALLY EFFICIENT; HYDRODYNAMIC SIMULATION; MESH ADAPTION; REFINEMENT INDICATOR; SHALLOW WATER EQUATIONS; SHALLOW-WATER MODELS;

ERRORS; HYDRAULICS;

MASS CONSERVATION; MESH REFINEMENT; SHALLOW WATER;

APPROXIMATION THEORY; COMPUTATIONAL METHODS; COMPUTER SIMULATION; HYDRAULICS; HYDRODYNAMICS; MATHEMATICAL MODELS;

COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; HYDRODYNAMICS; NUMERICAL MODEL; SHALLOW-WATER EQUATION;

EID: 33746125682     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2006)132:8(854)     Document Type: Article

References (8)

1. Babuška, I., Strouboulis, T., Upadhyay, C. S., and Gangaraj, S. K. (1995). “A posteriori estimation and adaptive control of the pollution error in the h-version of the finite-element method.” Int. J. Numer. Methods Eng., 38, 4207-4235.
2. Berger, R. C., and Howington, S. E. (2002). “Discrete fluxes and mass balance in finite elements.” J. Hydraul. Eng., 128(1), 87-92.
3. Berger, R. C., and Stockstill, R. L. (1995). “Finite-element model for high-velocity channels.” J. Hydraul. Eng., 121(10), 710-716.
4. Cecchi, M. M., and Marcuzzi, F. (1999). “Adaptivity in space and time for shallow water equations.” Int. J. Numer. Methods Fluids, 31, 285-297.
5. Hensley, J. (2003). “Use of adaptive meshes in ADH for flow problems.” Proc., HPC Users Group Conf., Belluve, Wash.
6. Hughes, T. J. R., Engel, G., Mazzei, L., and Larson, M. G. (2000). “The continuous Galerkin method is locally conservative.” J. Comput. Phys., 163(2), 467-488.
7. Prudhomme, S. M. (1999). “Adaptive control of error and stability of h-p approximations of the transient Navier-Stokes equations.” Ph.D. thesis, Univ. of Texas at Austin, Austin, Tex.
8. Prudhomme, S., and Oden, J. T. (2002). “Numerical stability and error analysis for the incompressible Navier-Stokes equations.” Commun. Numer. Methods Eng., 18, 779-787.