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Multigrid and Defect Correction for the Efficient Solution of the Steady Euler Equations

  • Barry Koren
  • Stefan Spekreijse
Chapter
Part of the Notes on Numerical Fluid Mechanics book series (volume 17)

Abstract

The Euler equations describe compressible inviscid gas flows with rotation. They are widely used in the aerospace industry. The Euler equations are derived by considering the laws of conservation of mass, momentum and energy for an inviscid gas. The result is a nonlinear hyperbolic system of conservation laws. Only for very simple flow problems, analytical solutions exist. For almost all engineering problems solutions must be found numerically. Several discretization methods have been developed which yield solutions of good quality (good resolution of shock waves, slip lines, etc.). However, generally the computational cost is high. In 1983 a project was started at the Centre for Mathematics and Computer Science (CWI) in Amsterdam for the development of more efficient methods. So far, a multigrid method for the solution of the 2D steady Euler equations has been developed, implemented and tested.

Key Words and Phrases

steady Euler equations multigrid methods defect correction 

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Copyright information

© Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig 1987

Authors and Affiliations

  • Barry Koren
    • 1
  • Stefan Spekreijse
    • 1
  1. 1.Centre for Mathematics and Computer ScienceAmsterdamThe Netherlands

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