Ph.D. Thesis

    Title:  Spectral/hp Methods on Polymorphic Multi-Domains: Algorithms and Applications 
    Author:  T. Warburton 
    University: Brown University, 1999. 
    Download:  Pages      1 to  60 ( 8.8 Mb bzip2'd postscript)
    Pages    60 to 120 ( 2.3 Mb bzip2'd postscript)
    Pages  120 to 180 (11.5 Mb bzip2'd postscript)
    Pages  180 to 240 (  8.2 Mb bzip2'd postscript)
    Pages  240+         (   .8 Mb bzip2'd postscript)

    Journal Articles

     
    Title:  An Unstructured H/P Finite Element Scheme for Fluid Flow and Heat Transfer in Moving Domains. 
    Authors:  A. Beskok and T. Warburton 
    Journal: Submitted to Journal of Computational Physics, 2000. 
     
    Title:  A Pseudo-Spectral Scheme for the Incompressible Navier-Stokes Equations Using Unstructured Nodal Elements. 
    Authors:  T. Warburton, L. Pavarino and J.S. Hesthaven 
    Journal: Submitted to Journal of Computational Physics, 1999. 
     
    Title:  Overlapping Schwarz Methods for Unstructured Spectral Elements
    Authors:  Luca F. Pavarino and Timothy Warburton 
    Journal: Accepted to Journal of Computational Physics, 2000. 
     
    Title:  A Discontinuous Galerkin Spectral/hp Method on Hybrid Grids.
    Authors:  R.M. Kirby, T.C. Warburton, I. Lomtev, and G.E. Karniadakis 
    Journal: Submitted to Journal of Applied Numerical Mathematics, 1999. 
    Title:  A Discontinuous Galerkin Method for the Viscous MHD Equations. 
    Authors:  T. Warburton and G. Karniadakis 
    Journal: Journal of Computational Physics, 152:608-641, 1999. 
    Title:  Spectral Basis Functions for 2D Hybrid hp Elements. 
    Authors:  T.C. Warburton, S.J. Sherwin, and G.E. Karniadakis 
    Journal: SIAM Journal of Scientific Computation, Volume 20, 5:1671-1695, 1999. 
    Title:  Galerkin and Discontinuous Galerkin Spectral/hp Methods. 
    Authors:  T. Warbuton, I. Lomtev, Y. Du, S. Sherwin and G. Karniadakis 
    Journal: Special edition of "Spectral, Spectral Element, and hp Methods in CFD" in Computer Methods in Applied Mechanics and Engineering, 175:343-359, 1999. 

    Conference Proceedings

     
    Title:  Application of the Discontinuous Galerkin Method to Maxwell's Equations Using Unstructured Polymorphic hp-Finite Elements. 
    Authors:  T. Warburton 
    Conference: International Symposium on Discontinous Galerkin Methods, 1999. 
    Title:  The Nektar Code: Dynamic Simulations without Remeshing. 
    Authors:  R.M. Kirby, T.C. Warburton, S.J. Sherwin, A. Beskok and G.E. Karniadakis 
    Conference: The 2nd International Conference on Computational Technologies for Fluid/Thermal/Chemical Systems with Industrial Applications. 
    Title:  A Discontinuous Galerkin Spectral/hp Method on Hybrid Grids. 
    Authors:  R.M. Kirby, T.C. Warburton, I. Lomtev, and G.E. Karniadakis 
    Conference: International Conference on Spectral and High Order Methods, June 1998. 
    Title:  Micro-fluidic design and fluid-structure interaction analysis of a micro-pump 
    Authors:  A. Beskok and T.C. Warburton 
    Conference: IMECE 98, Proceedings of the ASME Dynamic Systems and Control Division, 1998. 
    Title:  A Discontinuous Galerkin Method for the Compressible Navier-Stokes Equations on Hybrid Grids 
    Authors:  T.C. Warburton, I. Lomtev, R.M. Kirby and G.E. Karniadakis 
    Conference: Tenth Int. Conf. on Finite Elements in Fluids, January 5-8, 1998, Tucson, Arizona 
    Title:  Spectral/hp Methods for Elliptic Problems on Hybrid Grids 
    Authors:  S.J. Sherwin, T.C.E. Warburton and G.E. Karniadakis 
    Conference: Tenth Int. Conf. on Domain Decomposition Methods, August 10-14, 1997 Boulder, Colorado. 
    Title:  Spectral Simulations of Flow Past a Cylinder Close to a Free Surface 
    Authors:  T.C. Warburton and G.E. Karniadakis 
    Conference: ASME paper FEDSM97-3389, 1997. 
    Title:  Hierarchical refinement using spectral/hp triangles and prisms 
    Authors:  T.C. Warburton, S.J. Sherwin and G.E. Karniadakis 
    Conference: Sixth Int. Conf. on CFD, September 4-8, 1995, Lake Taho, Nevada 
    Title:  Unstructured hp/spectral elements: Connectivity and optimal ordering 
    Authors:  T.C. Warburton, S.J. Sherwin and G.E. Karniadakis 
    Conference: Int. Conf. on Comp. Engin. Science, July 30-August 3, 1995, Mauna Lani, Hawaii. 

    Other Papers Related to Nektar

    Title:  Issues in LES of Wake Flows 
    Authors:  Ma Xia, G.Em.Karniadakis, G. Karamanos and S.J. Sherwin 
    Journal: AIAA 98-2893 
    Title:  Parallel DNS algorithms on unstructured grids. 
    Authors:  C. Evangelinos, S.J. Sherwin and G.E. Karniadakis 
    Journal: Comp. Meth. Appl. Mech. Engr., special issue on Vistas in Domain Decomposition and Parallel Processing in Computational Mechanics, in press. 
    Title:  Dynamics and flow structures in the turbulent wake of rigid and flexible cylinders subject to vortex-induced vibrations. 
    Authors:  C. Evangelinos, and G.E. Karniadakis 
    Journal: Journal of Fluid Mechanics, pending acceptance after revisions, 1999. 
    Title:  DNS-Derived Force Distribution on Flexible Cylinders Subject to VIV 
    Authors:  C. Evangelinos, D. Lucor and G.E. Karniadakis 
    Journal: submitted to Journal of Fluids and Structures 1999. 

    Dr S.J. Sherwin's publication list.