Seminars & Events

LANS Informal Seminar
"Adaptive finite element methods for compressible flows using high-order stabilization"

DATE: April 5, 2012
TIME: 3:00 PM - 4:00 PM
SPEAKER: Murtazo Nazarov, Visiting Assist. Prof., Department of Mathematics, Texas A&M University
LOCATION: Building 240, 4301, Argonne National Laboratory

Description:
We present a goal-oriented finite element method to solve the compressible Euler/Navier-Stokes equations using continuous Galerkin finite elements. A posteriori error estimations of the quantity of interest are derived in terms of a dual problem for the linearized Euler equations. The primal and dual equations are stabilized by using a residual based artificial viscosity method and solved using explicit Runge-Kutta methods in time. Implementation details of the entropy viscosity [Guermond et al, 2008-2011], stability of the dual problems and applications for turbulent flows will be discussed.

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