Advances in High-Performance Computing: Multigrid Methods for Partial Differential Equations and its Applications

  • Peter Bastian
  • Klaus Johannsen
  • Stefan Lang
  • Sandra Nägele
  • Christian Wieners
  • Volker Reichenberger
  • Gabriel Wittum
  • Christian Wrobel
Conference paper

DOI: 10.1007/978-3-642-56548-9_41

Cite this paper as:
Bastian P. et al. (2001) Advances in High-Performance Computing: Multigrid Methods for Partial Differential Equations and its Applications. In: Krause E., Jäger W. (eds) High Performance Computing in Science and Engineering 2000. Springer, Berlin, Heidelberg

Abstract

The program package UG provides a software platform for discretizing and solving partial differential equations. It supports high level numerical methods for unstructured grids on massively parallel computers. Various applications of complex up to real-world problems have been realized, like Navier-Stokes problems with turbulence modeling, combustion problems, two-phase flow, density driven flow and multi-component transport in porous media. Here we report on new developments for a parallel algebraic multigrid solver and applications to an eigenvalue solver, to flow in porous media and to a simulation of Navier-Stokes equations with turbulence modeling.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Peter Bastian
    • 1
  • Klaus Johannsen
    • 1
  • Stefan Lang
    • 1
  • Sandra Nägele
    • 1
  • Christian Wieners
    • 1
  • Volker Reichenberger
    • 1
  • Gabriel Wittum
    • 1
  • Christian Wrobel
    • 1
  1. 1.IWR/Technical SimulationUniversity of HeidelbergHeidelbergGermany