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Seminar by Dimitri Mavriplis |
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Date: June 23, 2005
Time: 10:00am
Location: NIA, Rm 137
Speaker: Dimitri Mavriplis, University of Wyoming
Subject: "Exploring Alternative Approaches to CFD"
The perception that computational fluid dynamics has reached maturity is discussed in some detail. While aerodynamic simulations at design conditions with little or no flow separation are currently common and reliable, the simulation of more difficult off-design conditions with substantial amounts of flow separation are still unreliable and prone to large errors. Examples from the AIAA drag prediction workshop cases are given. Due to the difficulty in solving such problems with current methods, alternate approaches are investigated.
These include the use of higher order discretizations in space, using a Discontinuous Galerkin approximation up to 5th order accurate in space, along with a combined h-p multigrid method for solving the discrete equations. At the other extreme, the lattice Boltzmann approach is investigated for complex flows involving multi-component and multi-phase fluids.
Although the lattice Boltzmann method is a mesoscale approach derived from kinetic theory, standard numerical analysis techniques may be applied to this method when it is interpreted as a finite difference approximation of the Boltzmann equation. For the steady-state case, a non-linear multigrid method is developed for converging the Lattice Boltzmann equation, and large increases in efficiency over the standard LBM approach are demonstrated.
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