Godunov methods and adaptive algorithms for unsteady fluid dynamics

  • John Bell
  • Phillip Colella
  • John Trangenstein
  • Michael Welcome
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 323)


Density Contour Adaptive Mesh Refinement Approximate Riemann Problem Solver Godunov Method Gravity Inversion 
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  1. 1.
    J. B. Bell, P. Colella, and J. A. Trangenstein, “Higher-Order Godunov Methods for General Systems of Hyperbolic Conservation Laws,” UCRL-97258, LLNL, to appear in J. Comp. Phys..Google Scholar
  2. 2.
    J. A. Trangenstein and P. Colella, A Higher-Order Godunov Method for Finite Deformation in Elastic-Plastic Solids, submitted for publication.Google Scholar
  3. 3.
    A. Zachary and P. Colella, Higher-Order Godunov Methods for Compressible MHD, in preparation.Google Scholar
  4. 4.
    P. Colella, “A Multidimensional Second Order Godunov Scheme for Conservation Laws,” LBL-17023, Lawrence Berkeley Laboratory, to appear in J. Comp. Phys..Google Scholar
  5. 5.
    J. A. Trangenstein and P. Colella, An Unsplit, Second-Order Godunov Method for Moving Quadrilateral Grids, in preparation.Google Scholar
  6. 6.
    D. L. Zhang and I. I. Glass, “An Interferometric Investigation of the Diffraction of Planar Shock Waves over a Half-Diamond Cylinder in Air,” UTIAS Report No. 322, March 1988.Google Scholar
  7. 7.
    I. I. Glass, J. A. Trangenstein, D. L. Zhang, J. B. Bell, M. Welcome, P. Collins, and H. M. Glaz, Numerical and Experimental Study of High-Speed Flow over a Half-Diamond Cylinder, in preparation.Google Scholar
  8. 8.
    M. J. Berger and P. Colella, “Local Adaptive Mesh Refinement for Shock Hydrodynamics,” UCRL-97196, LLNL, to appear in J. Comp. Phys..Google Scholar
  9. 9.
    A. M. Abd-el-Fattah and L. F. Henderson, “Shock waves at a slow-fast gas interface,” J. Fluid Mech., vol. 89, pp. 79–85, 1978.Google Scholar
  10. 10.
    P. Colella, L. F. Henderson, and E. G. Puckett, Numerical and Experimental Analysis of Refraction of a Shock by a Material Interface, Part I: The Slow-Fast Case, in preparation.Google Scholar
  11. 11.
    P. Colella, R. Klein, and C. McKee, The Nonlinear Interaction of Supernova Shocks with Galactic Molecular Clouds, in preparation. *** DIRECT SUPPORT *** A3418252 00005Google Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • John Bell
    • 1
  • Phillip Colella
    • 1
  • John Trangenstein
    • 1
  • Michael Welcome
    • 1
  1. 1.Lawrence Livermore National LaboratoryLivermoreUSA

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