Skip to main content
Log in

A three-dimensional discontinuous Galerkin model applied to the baroclinic simulation of Corpus Christi Bay

  • Published:
Ocean Dynamics Aims and scope Submit manuscript

Abstract

In this work, we present results of a numerical study of Corpus Christi Bay, Texas and surrounding regions and compare simulated model results to recorded data. The validation data for the year 2000 include the water elevation, velocity, and salinity at selected locations. The baroclinic computations were performed using the University of Texas Bays and Estuaries 3D (UTBEST3D) simulator based on a discontinuous Galerkin finite element method for unstructured prismatic meshes. We also detail some recent advances in the modeling capabilities of UTBEST3D, such as a novel turbulence scheme and the support for local vertical discretization on parts of the computational domain. All runs were conducted on parallel clusters; an evaluation of parallel performance of UTBEST3D is included.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24

Similar content being viewed by others

References

  • Aizinger V (2004) A discontinuous Galerkin method for two- and three-dimensional shallow-water equations. PhD thesis, University of Texas at Austin

  • Aizinger V (2011) A geometry independent slope limiter for the discontinuous Galerkin method. In: Krause E et al (eds) Computational science and high performance computing IV. Notes on numerical fluid mechanics and multidisciplinary design, vol 115. Springer, Berlin, pp 207–217

    Chapter  Google Scholar 

  • Aizinger V, Dawson C (2002) A discontinuous Galerkin method for two-dimensional flow and transport in shallow water. Adv Water Resour 25:67–84

    Article  Google Scholar 

  • Aizinger V, Dawson C (2007) The local discontinuous Galerkin method for three-dimensional shallow water flow. Comput Methods Appl Mech Eng 196:734–746

    Article  Google Scholar 

  • Blaise S, Comblen R, Legat V, Remacle J-F, Deleersnijder E, Lambrechts J (2010) A discontinuous finite element baroclinic marine model on unstructured prismatic meshes. Part I: space discretization. Ocean Dyn 60:1371–1393

    Article  Google Scholar 

  • Canuto VM, Howard A, Cheng Y, Dubovikov MS (2001) Ocean turbulence. Part I: one-point closure model-momentum and heat vertical diffusivities. J Phys Oceanogr 31:1413–1426

    Article  Google Scholar 

  • Chen C, Liu H, Beardsley R (2003) An unstructured, finite-volume, three-dimensional, primitive equation ocean model: application to coastal ocean and estuaries. J Atmos Ocean Technol 20:159–186

    Article  Google Scholar 

  • Chippada S, Dawson CN, Martinez M, Wheeler MF (1998) A Godunov-type finite volume method for the system of shallow water equations. Comput Methods Appl Mech Eng 151:105–129

    Article  Google Scholar 

  • Cockburn B, Shu C-W (1989) TVB Runge–Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws II: general framework. Math Comput 52:411–435

    Google Scholar 

  • Cockburn B, Shu C-W (1998) The local discontinuous Galerkin finite element method for convection-diffusion systems. SIAM J Numer Anal 35:2440–2463

    Article  Google Scholar 

  • Cockburn B, Karniadakis G, Shu C-W (2000) The development of discontinuous Galerkin methods. In: Cockburn B, Karniadakis G, Shu C-W (eds) Discontinuous Galerkin methods: theory, computation and applications. Lecture notes in computational science and engineering, vol 11, part I: overview. Springer, Berlin, pp 3–50

    Chapter  Google Scholar 

  • Dawson C, Aizinger V (2005) A discontinuous Galerkin method for three-dimensional shallow water equations. J Sci Comput 22–23(1–3):245–267

    Article  Google Scholar 

  • Dawson C, Proft J, Aizinger V (2011) UTBEST3D hydrodynamic model verification of Corpus Christi Bay. http://www.twdb.texas.gov/RWPG/rpgm_rpts/0904830896_UTBEST3D.pdf Accessed 17 July 2012

  • Huang H (2011) Finite volume coastal ocean model (FVCOM) 3D hydrodynamic model comparison. http://www.twdb.state.tx.us/RWPG/rpgm_rpts/0904830891_OceanModel.pdf Accessed 17 July 2012

  • Karypis G, Kumar V (1999) A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM J Sci Comput 20:359–392

    Article  Google Scholar 

  • Kuzmin D (2010) A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods. J Comput Appl Math 233:3077–3085

    Article  Google Scholar 

  • Mellor GL, Yamada T (1982) Development of a turbulence closure model for geophysical fluid problems. Rev Geophys Space Phys 20:851–875

    Article  Google Scholar 

  • The Texas Water Development Board (2000) Corpus Christi Bay intensive inflow survey May 5–May 7, 2000. http://midgewater.twdb.state.tx.us/bays-estuaries/studies/cor00main.html Accessed 20 December 2011

  • Toro EF, Spruce M, Speares W (1994) Restoration of the contact surface in the HLL-Riemann solver. Shock Waves 4:25–34

    Article  Google Scholar 

  • Umlauf L, Burchard H (2003) A generic length-scale equation for geophysical turbulence models. J Mar Res 61:235–265

    Article  Google Scholar 

  • Umlauf L, Burchard H (2005) Second-order turbulence closure models for geophysical boundary layers. A review of recent work. Cont Shelf Res 25:795–827

    Article  Google Scholar 

  • USGS (2001) Water budget for the Nueces Estuary, Texas, May–October 1998. USGS Fact Sheet 081-01, December (2001)

  • Vreugdenhil CB (1994) Numerical methods for shallow-water flow. Kluwer, Dordrecht

    Google Scholar 

  • Warner JC, Sherwood CR, Arango HG, Signell RP (2005) Performance of four turbulenc closure models implemented using a generic length scale method. Ocean Model 8:81–113

    Article  Google Scholar 

  • Zhang YJ (2010) Technical support—inter-model comparison for Corpus Christi Bay testbed. http://www.twdb.state.tx.us/RWPG/rpgm_rpts/0904830892.pdf. Accessed 17 July 2012

  • Zhang Y-L, Baptista AM (2008) SELFE: a semi-implicit Eulerian–Lagrangian finite-element model for cross-scale ocean circulation. Ocean Model 21(3–4):71–96

    Article  Google Scholar 

  • Zhang Y-L, Baptista AM, Myers EP (2004) A cross-scale model for 3D baroclinic circulation in estuary-plume-shelf systems: I. Formulation and skill assessment. Cont Shelf Res 24:2187–2214

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vadym Aizinger.

Additional information

Responsible Editor: Jens Schröter

This article is part of the Topical Collection on Multi-scale modelling of coastal, shelf and global ocean dynamics

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aizinger, V., Proft, J., Dawson, C. et al. A three-dimensional discontinuous Galerkin model applied to the baroclinic simulation of Corpus Christi Bay. Ocean Dynamics 63, 89–113 (2013). https://doi.org/10.1007/s10236-012-0579-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10236-012-0579-8

Keywords

Navigation