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LANS Informal Seminar: Murtazo Nazarov
April 5, 2012 @ 15:00 CDT
Seminar Title: Adaptive finite element methods for compressible flows using high-order stabilization
Speaker: Murtazo Nazarov, Visiting Assist. Prof., Department of Mathematics, Texas A&M University
Date/Time: 2012-04-05 15:00
Location: Building 240, 4301
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.