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Characteristics Finite Element Methods in Computational Fluid Dynamics
Hardcover
Series: Computational Fluid and Solid Mechanics
Technology & EngineeringGeneral MathematicsPhysics
ISBN13: 9783540251811
Publisher: Springer Nature
Published: Aug 22 2006
Pages: 730
Weight: 2.60
Height: 1.70 Width: 6.20 Depth: 9.20
Language: English
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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