Publications

  1. R. Pasumarthy, V.R. Ambati and A.J. van der Schaft, "Port-Hamiltonian discretization for Open Channel Flows," Submitted to Systems and Control Letters, 2010. [EPRINTS].

  2. O.Bokhove and V.R. Ambati, "Hybrid Rossby-shelf modes in a laboratory ocean," J. Phys. Ocean., 39, 2523-2542, 2009. [DOI], [EPRINTS].

  3. V.R. Ambati, J.J.W. van der Vegt and O. Bokhove, "Variational space-time (dis)continuous Galerkin method for linear free surface waves," Under revision to J. Comput. Phys., 2008. [EPRINTS]

  4. V.R. Ambati "Forecasting water waves and currents: A space-time approach,"Ph.D. Thesis, University of Twente, The Netherlands, 2008. ISBN: 978-90-365-2632-6, [EPRINTS].

  5. V.R. Ambati and O. Bokhove, "Space-time discontinuous Galerkin discretization of rotating shallow water equations," J. Comput. Phys., 225(2), 1233-1261, 2007. [DOI], [EPRINTS]

  6. L. Pesch, A. Bell, W.E.H. Solie, V.R. Ambati, O. Bokhove and J.J.W. van der Vegt, "hpGEM --- A sofware framework for discontinuous Galerkin finite element Methods," ACM Transactions on Mathematical Software, 33(4), 2007. [EPRINTS]

  7. V.R. Ambati and O. Bokhove, "Space-time discontinuous Galerkin finite element method for shallow water flows," J. Comput. Appl. Math., 204(2), 452-462, 2007. [DOI], [EPRINTS]

Conference proceedings:

  1. V.R. Ambati, J.J.W. van der Vegt and O. Bokhove, "Variational space-time discontinuous Galerkin method for linear free surface waves," 5th European congress on computational methods in applied sciences and engineering fluid 2008, June 30th -- July 4th, 2008, Venice, Italy. [Abstract, Presentation].

  2. V.R. Ambati and O. Bokhove, "Flooding and drying in discontinuous Galerkin discretizations of shallow water equations," in proceedings of European conference on computational fluid dynamics 2006, September 5-8, 2006, Egmond aan Zee, The Netherlands. [Paper].

  3. V.R. Ambati & O. Bokhove, "Implicit discontinuous Galerkin finite element discretization for wave runup and backwash on beaches," 30th international conference on coastal engineering, September 3-8, 2006, San Diego, California, USA. [Abstract]

  4. V.R. Ambati & O. Bokhove, "Space-time discontinuous Galerkin method for rotating shallow water flows," in proceedings of 7th international conference on mathematical and numerical aspects of waves 2005, June 20-24, 2005, Brown University, Rhode Island, USA. [Paper].

  5. J.J.W. van der Vegt, V.R. Ambati and O. Bokhove, "An implicit discontinuous Galerkin finite element model for water waves," in proceedings of 7th international conference on mathematical and numerical aspects of waves 2005, June 20-24, 2005, Brown University, Rhode Island, USA. [Paper].

Seminars/Talks:

  1. Variational space-time discontinuous Galerkin method for linear free surface waves, IACM/ECCOMAS, 30th June -- 4th July, 2008, Venice, Italy.

  2. Space-time discontinuous Galerkin method for flooding and drying in shallow water flows, Jonge Honden Seminar, May 10th, 2007, Department of Applied Mathematics, University of Twente, The Netherlands.

  3. Implicit discontinuous Galerkin finite element discretization for wave runup and backwash on beaches, 30th international conference on coastal engineering, September 3-8, 2006, San Diego, California, USA.

  4. Flooding and drying in shallow water flows using level sets and space-time DG method, Jonge Honden Seminar June 29th, 2006, Department of Applied Mathematics, University of Twente, The Netherlands.

  5. Space-time discontinuous Galerkin method for rotating shallow water flows, 7th International conference on mathematical and numerical aspects of waves, June 20-24, 2005, Brown University, Rhode Island, USA.

  6. Implementation Basics for Discontinuous Galerkin Scheme of Hyperbolic equations in HPGEM, Informal talk in NACM Group, 31st May 2007, University of Twente, The Netherlands.

Posters:

  1. V.R. Ambati, P.A. Tassi & O. Bokhove, "A discontinuous Galerkin finite-element model for shallow water river flows," Flood risk assesment, 7-8 September, 2004, University of Bath, Bath, UK. [view poster].
  2. V.R. Ambati, O. Bokhove & J.J.W. Van der Vegt, "Discontinuous Galerkin method for linear free surface gravity waves," Burgers day 2005, Technical University Delft, The Netherlands. [view poster].
  3. V.R. Ambati & O. Bokhove, "Flooding and drying in shallow water flows using space-time discontinuous Galerkin method," 2006 Conference of the Dutch-Flemish Numerical Analysis Communities, 11-13 October, 2006, Woudschoten Conference Centre, Zeist, The Netherlands. [view poster].