A higher-order multidimensional upwind solution-adaptive multigrid solver for compressible flows

  • L. A. Catalano
  • P. De Palma
  • G. Paseazio
  • M. Napolitano
3. Numerical Methods for Aerodynamic Design d) Euler/Navier-Stokes Equations
Part of the Lecture Notes in Physics book series (LNP, volume 453)


A solution-adaptive local-refinement multigrid strategy previously developed for a simple-wave model of the Euler equations has been extended to two newly developed higher-order-accurate characteristic decomposition methods for the solution of steady inviscid compressible flows. Numerical results show that the new methodology provides a significant accuracy improvement with respect to the simple-wave approach, at the expense of a reduced multigrid convergence rate. While further improvements are warranted, the new method, thanks to its second-order spatial accuracy and very low entropy generation, appears to be well suitable for computing viscous flows.


Mach Number Supersonic Flow Subsonic Flow Compatibility Equation Turbine Rotor Blade 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • L. A. Catalano
    • 1
  • P. De Palma
    • 1
  • G. Paseazio
    • 1
  • M. Napolitano
    • 1
  1. 1.Politecnico di BariIstituto di Macchine ed EnergeticaBariItaly

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