Joannes
J. Westerink
Professor
Concurrent, Department of Mathematics
Partial List of Publications
JOURNAL PUBLICATIONS
Kubatko, E.J., J.J. Westerink and C. Dawson, “Semi-discrete Discontinuous
Galerkin Methods and Stage Exceeding Order Strong Stability Preserving
Runge-Kutta Time Discretizations,” Journal of Computational
Physics,
In Press, 2006.
Kubatko, E.J. and J.J. Westerink, “Exact Discontinuous Solutions
of Exner's Bed Evolution Model: A Simple Theory for Sediment Bores,” Journal
of Hydraulic Engineering, In Press, 2006.
Kubatko, E.J., J.J. Westerink and C. Dawson, “hp Discontinuous
Galerkin Methods for Advection Dominated Problems in Shallow Water Flow,” Computer
Methods in Applied Mechanics and Engineering, In Press, 2006.
Kubatko, E.J., J.J. Westerink and C. Dawson, “An Unstructured Grid
Morphodynamic Model with a Discontinuous Galerkin Method for Bed Evolution,” Ocean
Modeling,
15, 71-89, 2006.
Dawson, C., J.J. Westerink, J.C. Feyen and D. Pothina, “Continuous,
Discontinuous and Coupled Discontinuous-Continuous Galerkin Finite Element
Methods for the Shallow Water Equations,” International Journal
for Numerical Methods in Fluids, 52, 63-88, 2006.
Bunya, S., S. Yoshimura and J.J. Westerink, “Improvements in
the Mass Conservation Property Using Alternative Boundary Formulations
for Quasi Bubble Finite Element Solutions to the Shallow Water Equations,” International
Journal for Numerical Methods in Fluids,
51, 1277-1296, 2006.
Bunya, S., J.J. Westerink and S. Yoshimura, “Discontinuous Boundary
Implementations for the Shallow Water Equations,” International
Journal for Numerical Methods in Fluids, 47, 1451-1468,
2005.
Atkinson,
J.H., J.J. Westerink and R.A. Luettich, “Two-Dimensional
Dispersion Analysis of Finite Element Approximations to the Shallow Water
Equations,” International Journal for Numerical Methods in
Fluids, 45, 715-749, 2004.
Atkinson,
J.H., J.J. Westerink and J.M. Hervouet, “Similarities
between the Quasi-Bubble and the Generalized Wave Continuity Equation
Solutions to the Shallow Water Equations,” International
Journal for Numerical Methods in Fluids, 45, 689-714,
2004.
Hagen, S.C., J.J. Westerink, R.L. Kolar
and O. Horstmann, “Two
Dimensional Unstructured Mesh Generation for Tidal Models,” International
Journal for Numerical Methods in Fluids, 35,
669-686, 2001.
Hagen, S.C., J.J. Westerink and R.L. Kolar, “Finite
Element Grids Based on a Localized Truncation Error Analysis,” International
Journal for Numerical Methods in Fluids, 32, 241-261,
2000.
Blain,
C.A., J.J. Westerink and R.A. Luettich, “Grid
Convergence Studies for the Prediction of Hurricane Storm Surge,” International
Journal for Numerical Methods in Fluids, 26, 369-401,
1998.
Westerink, J.J. and P.J. Roache, "Issues
in Convergence Studies in Geophysical Flow Computations",
in Next Generation Environmental Models Computational Methods,
G. Delic and M.F. Wheeler, Eds., Society for Industrial and Applied
Mathematics, Philadelphia, PA, 1997.
Kolar, R.L., W.G. Gray
and J.J. Westerink, "Boundary
Conditions in Shallow Water Models - An Alternative Implementation
for Finite Element Codes," International Journal for Numberical
Methods in Fluids, 22, 603-618, 1996.
Westerink,
J.J., R.A. Luettich, C.A. Blain and S.C. Hagen, "Surface Elevation and Circulation in Continental
Margin Waters", in Finite Element Modeling of Environmental
Problems, Surface and Subsurface Flow and Transport, G.F. Carey,
Ed., J. Wiley and Sons, Chichester, 1995.
Luettich, R.A. and J.J. Westerink, "Continental Shelf Scale Convergence
Studies with a Barotropic Tidal Model", in Quantitative
Skill Assessment for Coastal Ocean Models, D.R. Lynch and
A.M. Davies, Eds., Coastal and Estuarine Studies Series,
47, American Geophysical Union, Washington DC, 1995.
Grenier, R.R., R.A. Luettich and J.J.
Westerink, "A Comparison of the Nonlinear
Frictional Characteristscs of Two-Dimensional and Three-Dimensional Models of
a Shallow Tidal Embayment," Journal of Geophysical
Research, 100, C7, 13719-13735, 1995.
Blain, C.A., J.J. Westerink and R.A. Luettich, "The Influence of
Domain Size on the Response Characteristics of a Hurricane Storm Surge
Model," Journal of Geophysical Research, 99, C9, 18467-18479,
1994.
Luettich, R.A., S. Hu and J.J. Westerink, "Development of the Direct
Stress Solution Technique for Three Dimensional Hydrodynamic Models Using
Finite Elements," International
Journal for Numerical Methods in Fluids, 19, 295-319, 1994.
Westerink, J.J., R.A. Luettich, J.K. Wu and R.L. Kolar, "The Influence
of Normal Flow Boundary Conditions on Spurious Modes in Finite Element
Solutions to the Shallow Water Equations," International
Journal for Numerical Methods in Fluids, 18, 1021-1060,
1994.
Westerink, J.J., R.A. Luettich and J.C. Muccino, "Modeling Tides in the
Western North Atlantic Using Unstructured Graded Grids," Tellus,
46A, 178-199, 1994.
Kolar, R.L., W.G. Gray, J.J. Westerink
and R.A. Luettich, "Shallow Water
Modeling in Spherical Coordinates: Equation Formulation, Numerical Implementation
and Application," Journal of Hydraulic Research, 32, 1, 3-24, 1994.
Kolar,
R.L., J.J. Westerink, M.E. Cantekin and C.A. Blain, "Aspects
of Nonlinear Simulations Using Shallow Water Models Based on the Wave
Continuity Equation," Computers
and Fluids, 23, 3, 523-538, 1994.
Cantekin, M.E., J.J. Westerink
and R.A. Luettich, "Low and Moderate Reynolds
Number Transient Flow Simulations Using Space Filtered Navier Stokes Equations," Numerical
Methods for Partial Differential Equations, 10, 491-524, 1994.
Westerink, J.J., R.A. Luettich, A.M. Baptista, N.W. Scheffner and P. Farrar,
"Tide and Storm Surge Predictions Using a Finite Element Model,"
Journal of Hydraulic Engineering, 118, 1373-1390, 1992.
Westerink, J.J. and W.G. Gray, "Progress in Surface Water Modeling,"
Reviews of Geophysics, 29, April Supplement, 210-217, 199
Luettich,
R.A. and J.J. Westerink, "A Solution for
the Vertical Variation of Stress, Rather than Velocity, in a Three-Dimensional
Circulation Model,"
International Journal for Numerical Methods in Fluids, 12, 911-928, 1991.
Cantekin,
M.E. and J.J. Westerink, "Non-Diffusive
N+2 Degree Petrov-Galerkin Methods for Two-Dimensional Transient Transport
Computations," International
Journal for Numerical Methods in Engineering, 30, 397-418, 1990.
Baptista, A.M., J.J. Westerink and P.J. Turner, "Tides in the English Channel
and Southern North Sea. A Frequency Domain Analysis Using Model TEA-NL," Advances
in Water Resources, 12, 166-183, 1989.
Westerink, J.J., K.D. Stolzenbach and J.J. Connor, "General Spectral Computations
of the Nonlinear Shallow Water Tidal Interactions Within the Bight of Abaco," Journal
of Physical Oceanography, 19, 1350-1373, 1989.
Westerink, J.J. and D. Shea, "Consistent Higher Degree Petrov-Galerkin Methods
for the Solution of the Transient Convection-Diffusion Equation,"
International Journal for Numerical Methods in Engineering, 28, 1077-1101,
1989.
Westerink, J.J., J.J. Connor and K.D. Stolzenbach, "A Frequency-Time
Domain Finite Element Model for Tidal Circulation Based on the Least Squares
Harmonic Analysis Method," International Journal for Numerical Methods
in Fluids, 8, 813-843, 1988.
Westerink, J.J., J.J. Connor
and K.D. Stolzenbach, "A Primitive
Pseudo Wave Equation Formulation for Solving the Harmonic Shallow Water
Equations,"
Advances in Water Resources, 10, 188-199, 1987.