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Technical Characteristics Finite Element Methods in Computational Fluid Dynamics

Posted on 2010-04-15




Name:Technical Characteristics Finite Element Methods in Computational Fluid Dynamics
ASIN/ISBN:3540251812
Publish Date:1 edition (October 5, 2006)
Pages:727 pages
File size:11.4 Mb
ISBN: 3540251812
Pages: 727 pages
File Type: PDF
File Size: 11,4 Mb
Other Info: Springer; 1 edition (October 5, 2006)
   Technical Characteristics Finite Element Methods in Computational Fluid Dynamics

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Joe Iannelli, "Characteristics Finite Element Methods in Computational Fluid Dynamics"

This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. Several sections derive the Fluid Dynamics equations from thermo-mechanics principles and develop this multi-dimensional and infinite-directional upstream procedure by combining a finite element discretization with an implicit non-linearly stable Runge-Kutta time integration for the numerical solution of the Euler and Navier Stokes equations. Based on the mathematics and physics of multi-dimensional characteristics, convection as well as acoustics, and inducing by design a controllable multi-dimensional upwind bias that can be locally optimized, the procedure crisply captures contact discontinuities, normal as well as oblique shocks, and generates essentially non-oscillatory solutions for incompressible, subsonic, transonic, supersonic, and hypersonic inviscid and viscous flows with chemical reactions and work, heat and mass transfer.

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