Characteristics Finite Element Methods in Computational Fluid Dynamics

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Characteristics Finite Element Methods in Computational Fluid Dynamics

Book Title: Characteristics Finite Element Methods in Computational Fluid Dynamics
Author: Joe Iannelli
ISBN:3540251812
Publisher: Springer,1 edition October 5, 2006
File: 11.4 MB PDF, 727 pages


Description:

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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