Characteristics Finite Element Methods in Computational Fluid Dynamics

✍ Scribed by Joe Iannelli

• Publisher: Springer
• Year: 2006
• Tongue: English
• Leaves: 744
• Series: Computational fluid and solid mechanics
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

CharacteristicsFiniteElement1316_f.jpg......Page 1
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19.pdf......Page 728