Tim Barth's World:



Some Recent Papers and Lecture Notes:

  • Space-Time Error Representation and Estimation in Navier-Stokes Calculations Barth, T.J., "Space-Time Error Representation and Estimation in Navier-Stokes Calculations", Proceedings of the Cyprus Symposium on Complex Effects in LES, Springer-Verlag, LNCSE, to appear, 2006.

  • On Discontinuous Galerkin Approximations of Boltzmann Moment Systems with Levermore Closure Barth, T.J., "On Discontinuous Galerkin Approximations of Boltzmann Moment Systems with Levermore Closure", Comp. Meth. Appl. Engrg., North-Holland Publishing, Vol. 195, pp. 3311-3330, 2006.


  • On the Role of Involutions in the Discontinuous Galerkin Discretization o f Maxwell and Magnetohydrodynamic Systems Barth, T.J., On the Role of Involutions in the Discontinuous Galerkin Discretization of Maxwell and Magnetohydrodynamic Systems, IMA Volume on Compatible Spatial Discretizations, Springer-Verlag, NY, Vol. 142, 2005.


  • An Introduction to Upwind Finite Volume and Finite Element Methods: Some Unifying and Contrasting Themes Barth, T.J., An Introduction to Upwind Finite Volume and Finite Element Methods: Some Unifying and Contrasting Themes, VKI Lecture Series on High Order Discretization Methods in CFD,von Karman Institute for Fluid Dynamics, Belgium, pp. 1-64, 2006.


  • A-Posteriori Error Estimation and Mesh Adaptivity for Finite Volume and Finite Element Methods Barth, T.J. , "A-Posteriori Error Estimation and Mesh Adaptivity for Finite Volume and Finite Element Methods", Springer serier Lecture Notes in Computational Science and Engineering, Vol. 41, 2004


  • Barth, T.J. and Ohlberger, M., "Finite Volume Methods: Foundation and Analysis", Encyclopedia of Computational Mechanics, Volume 1, Fundamentals, John Wiley and Sons, Ltd, 2004.
    Short MPEG Movie Clips From Numerical Computations: Short MPEG Movie Clips From Numerical Computations:


    [Minimal Surface]
    Minimal Surface Evolution
    Via Hamilton-Jacobi Equations     		[M=3 Step Flow]
    Inviscid M=3 Step Flow

    		[Navier-Stokes Solution]
    Numerical Navier-Stokes Solution
    On Triangulated Domain (Mach Contours)


    Some Often Requested Papers From the Past:

  • T.J. Barth and D.C. Jespersen, AIAA 89-0366, The Design and Application of Upwind Schemes on Unstructured Meshes

  • T.J. Barth and P.O. Frederickson, AIAA 90-0013, Higher Order Solution of the Euler Equations on Unstructured Grids Using Quadratic Reconstruction

  • T.J. Barth, AIAA 93-0668, Recent Improvements in High Order K-exact Reconstruction on Unstructured Meshes

  • Barth, T.J. Lecture Notes from VKI Lecture Series in CFD Course (2003).

  • Barth, T.J. Lecture Notes from VKI Lecture Series in CFD Course (4/94).

  • VKI Lecture Notes: Part 1 [.9Mb gzipped]

  • VKI Lecture Notes: Part 2 [1.1Mb gzipped]

  • VKI Lecture Notes: Part 3 [1.6Mb gzipped]

  • VKI Lecture Notes: Part 4 [2.3Mb gzipped]





    • $Created by: Timothy Barth, Last Modified: Sept. 10, 2004 8:15:57 by Timothy.J.Barth@nasa.gov$