Algebraic Multigrid for Stabilized FEM Discretizations of Euler/Navier-Stokes

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Algebraic Multigrid for Stabilized FEM
Discretizations of Euler/Navier-Stokes

• Motivation
• Generalized multigrid algorithms have been shown
  to exhibit grid independent convergence rates for
  elliptic operators and hence are attractive for
  problems with large degrees of freedom.
• Algebraic Multigrid (AMG) allows for automatic
  construction of generalized multigrid components
  and has been shown to exhibit grid independent
  convergence rates for elliptic operators.
• Objective
• Extend and apply AMG to parabolic/hyperbolic
  systems resulting from stabilized Finite Element
  (FEM) discretizations of the Euler/Navier-Stokes
  equations.

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Results GLS discretization for Euler
NACA 0012 Mach 0.1