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Publications

Peer-reviewed Journal Articles

41. Yeager, B., Kubatko, E.J., Wood, D., H, Time step restrictions for strong-stability-preserving multistep Runge--Kutta discontinuous Galerkin methods, Journal of Scientific Computing, in review.

40. Wu, X., Kubatko, E.J., Chan, J., High-order entropy stable discontinuous Galerkin methods for the shallow water equations: curved triangular meshes and GPU acceleration, Computers and Mathematics with Applications, in revision.

39. Conroy, C., Mandli, K., Kubatko, E. J., Numerical considerations for quantifying air-water turbulence with moment field equations, Water Waves, in revision.

38. Conroy, C., Mandli, K., Kubatko, E. J., Quantifying air-water turbulence with moment field equations, Journal of Fluid Mechanics, in revision.

37. Rahimi, M., Shafieezadeh, A., Wood, D., Kubatko, E. J., A physics-based approach to characterization of permeability amplification factor during backward erosion piping, Canadian Geotechnical Journal, accepted.

36. Al-Khaldi, M.M., Johnson, J.T., Kang, Y., Katzberg, S.J., Bringer, A., Kubatko, E.J., WoodD., Track-based Cyclone Wind Retrievals Using The Cyclone Global Navigation Satellite System (CYGNSS) Mission, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 13, pp. 860–899, 2020.

35. Wood, D., Kubatko, E.J., Rahimi, M., Shafieezadeh, A., Conroy, C.J., Implementation and evaluation of coupled discontinuous Galerkin methods for simulating overtopping of flood defenses by storm waves, Advances in Water Resources, 136, 103501, 2020.

34. Rahimi, M., Shafieezadeh, A., Wang, Z., Wood, D., Kubatko, E.J., Exploring Passive and Active Meta-Modeling-Based Reliability Analysis Methods for Soil Slopes, International Journal of Geomechanics,  20(3): 04020009, 2020. 

33. Rahimi, M., Shafieezadeh, A., Wood, D., Kubatko, E. J., and Dormady, N. C., Bayesian Calibration of Multi-Response Systems via Multivariate Kriging: Methodology and Geological and Geotechnical Case Studies, Engineering Geology, 260(3): 105248, 2019.

32. Brus, S., Wirasaet, D.,.Kubatko, E.J.,Westerink, J.J., Dawson, C.N, High-order discontinuous Galerkin methods for coastal hydrodynamics applications,  Computer Methods in Applied Mechanics and Engineering, 355, pp. 860–899, 2019.

31.  Mulamba, T., Bacopoulos, P., Kubatko, E.J., Pinto, G.F., Sea-level rise impacts on longitudinal salinity in a low-gradient estuarine river, Climatic Change, 152, pp. 533–550, 2019.

30.  Conroy, C.J., Kubatko, E.J., Nappi, A., Sebian, R., West, D., Mandli, K.T., hp  discontinuous Galerkin methods for parametric, wind-driven water wave models, Advances in Water Resources, 119, pp. 70–83, 2018.

29.  West, D.W., Kubatko, E.J., Conroy, C.J., Yaufman, M., Wood, D., A multidimensional discontinuous Galerkin modeling framework for overland flow and channel routing, Advances in Water Resources, 102, pp. 1147–1171, 2017.

28.  Bacopoulos, P., Kubatko, E.J., Hagen, S.C., Cox, A.T., Mulamba, T., Modeling and data assessment of longitudinal salinity in a low-gradient estuarine river, Environmental Fluid Mechanics, 17, pp. 323–353, 2017.

27.  Michoski, C., Alexanderian, A., Dawson, C., Paillet, C., Kubatko, E.J.,  Stability of Nonlinear Convection-Diffusion-Reaction Systems in Discontinuous Galerkin Methods, Journal of Scientific Computing, 70, pp. 516–550, 2017

26.  Conroy, C.J., and Kubatko, E.J., hp discontinuous Galerkin methods for the vertical extent of the water column in coastal settings part I: barotropic forcing, Journal of Computational Physics, 305, pp. 1147–1171, 2016.

25.  Michoski, C., Dawson, C., Kubatko, E.J., Wiraset, D., Westerink, J.J., A comparison of artificial viscosity, limiters, and filters, for high order discontinuous Galerkin solutions in nonlinear settings, Journal of Scientific Computing, 66(1), pp. 406–434, 2016.

24.  Wirasaet,  D, Brus,  S.R.,  Michoski,  C.,  Kubatko,  E.J.,  Westerink,  J.J.,  Dawson,  C., Artificial boundary layers in discontinuous Galerkin solutions to  shallow water equations in channels, Journal of Computational Physics, 299, pp. 597–612, 2015.

23.  Kubatko, E.J., Yeager, B.A., Ketcheson, D.I., Optimal strong-stability-preserving Runge–Kutta time discretizations for discontinuous Galerkin methods, Journal of Scientific Computing, 60, pp. 313–344, 2014.

22.  Wirasaet, D., Kubatko, E.J., Michoski, C., Tanaka, S., Westerink, J.J., Dawson, C., Discontinuous Galerkin methods with nodal and hybrid modal/nodal triangular, quadrilateral, and polygonal elements for nonlinear shallow water flow, Computer Methods in Applied Mechanics and Engineering, 270, pp. 113–149, 2014.

21.  Tamura,  H.,  Bacopoulos,  P.,  Wang,  D.,  Hagen,  S.C.,  Kubatko,  E.J.,  State estimation of tidal hydrodynamics using ensemble Kalman filter, Advances in Water Resources, 64, pp. 45–56, 2014.

20.  Michoski,  C.,  Dawson,  C.,  Mirabito,  C.,  Kubatko,  E.J.,  Wiraset,  D.,  Westerink, J.J., Fully coupled methods for multiphase morphodyanmics, Advances in Water Resources, 59, pp. 95–110, 2013.

19.  Dawson, C., Trahan, C.J., Kubatko, E.J., A Parallel Local Timestepping Runge–Kutta Discontinuous Galerkin Method with Applications to Coastal Ocean Modeling, Computer Methods in Applied Mechanics and Engineering, 259, pp. 154–165, 2013.

18.  Kubatko, E.J., Yeager B.A., Maggi A.L., New computationally efficient quadrature formulas for triangular prism elements, Computers and Fluids, 73, pp. 187–201, 2013.

17.  Kubatko, E.J., Yeager B.A., Maggi A.L., New computationally efficient quadrature formulas for pyramidal elements, Finite Elements in Analysis and Design, 65, pp. 63–75, 2013.

16.  Conroy, C.J., Kubatko, E.J., West, D.W., ADMESH: An advanced, automatic unstructured mesh generator for shallow water models, Ocean Dynamics, 62, pp. 1503–1517, 2012.

15.  Michoski, C., Mirabito, C., Dawson, C., Wiraset, D., Kubatko, E.J., Westerink, J.J., Dynamic p-enrichment schemes for multicomponent  reactive  flows, Advances in Water Resources, 34, pp.1666–1680, 2011.

14.  Michoski, C., Mirabito, C., Dawson, C., Wiraset, D., Kubatko, E.J., Westerink, J.J., Adaptive hierarchic transformations for dynamically p–enriched slope–limiting over discontinuous Galerkin systems of generalized equations, Journal of Computational Physics, 230, pp. 8028–8056, 2011.

13.  Dawson, C.,  Kubatko,  E.J.,  Westerink,  J.J.,  Trahana C.,  Mirabito,  C.,  Michoskia C., Panda, N., Discontinuous Galerkin methods for modeling  hurricane storm surge, Advances in Water Resources, 34, pp. 1165–1176, 2011.

12.  DuChene, M., Spagnuolo, A.M., Kubatko, E.J., Westerink, J.J., Dawson,  C., A Framework for Running the ADCIRC Discontinuous Galerkin Storm Surge Model on a GPU, Procedia Computer Science, 4, pp. 2017–2026, 2011.

11.  Mirabito, C., Dawson, C., Kubatko, E.J., Westerink, J.J., Bunya, S., Implementation of a discontinuous Galerkin morphological model on two-dimensional unstructured meshes, Computer Methods in Applied Mechanics and Engineering, 200, pp. 189–207, 2011.

10.  Wiraset, D., Tanaka, S., Kubatko, E.J., Westerink, J.J, and Dawson, C., A performance comparison of nodal discontinuous Galerkin methods on triangles and quadrilaterals, International Journal for Numerical Methods in Fluids, 64, pp. 1336–1362, 2010.

9.  Kubatko,  E.J.,  Bunya  S., Dawson, C., Westerink, J.J., and Mirabato  C.M., A performance comparison of continuous and discontinuous finite  element shallow water models, Journal of Scientific Computing, 40, pp. 1573-7691, 2009.

8.  Kubatko, E.J. Bunya, S., Dawson, C., and Westerink, J.J., Dynamic p-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations, Computer Methods in Applied Mechanics and Engineering, 198, pp. 1766-1774, 2009.

7.  Bunya, S., Kubatko, E.J., Westerink, J.J., Dawson, C., and Yoshimura, S. A wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations, Computer Methods in Applied Mechanics and Engineering, 198 (17-20), pp. 1548-1562, 2009.

6.  Kubatko, E.J, Westerink, J.J. and Dawson, C., Time Step Restrictions for Runge-Kutta Discontinuous Galerkin Methods on Triangular Grids, Journal of Computational Physics, 227, pp. 9697–9710, 2008.

5.  Westerink, J.J., Luettich, R.A., Feyen, J.C., Atkinson, J.H., Dawson, C.N.,  Powell, M.D., Dunion, J.P., Roberts, H.J., Kubatko, E.J., Pourtaheri, H. A basin- to channel-scale unstructured grid hurricane storm surge model applied to southern Louisiana, Monthly Weather Review, 135, pp. 833–864, 2008.

4.  Kubatko, E.J. and Westerink, J.J., Exact discontinuous solutions of Exners bed evolution model: a simple theory for sediment bores, Journal of Hydraulic Engineering, 133, pp. 305–311, 2007.

3.  Kubatko, E.J., Westerink, J.J., and Dawson, C., Semidiscrete discontinuous Galerkin methods and stage-exceeding-order, strong-stability-preserving Runge-Kutta time discretization methods, Journal Computational Physics, 222, pp. 832–848, 2007.

2.  Kubatko, E.J., Westerink, J.J. and Dawson, C., hp Discontinuous Galerkin methods for advection dominated problems in shallow water flow, Computer Methods in Applied Mechanics and Engineering, 196, pp. 437–451, 2006.

1.  Kubatko, E.J., Westerink, J.J. and  Dawson, C., An unstructured grid  morphodynamic model with a discontinuous Galerkin method for bed evolution, Ocean Modeling, 15, pp. 71–89, 2006.