Characteristics Finite Element Methods in Computational Fluid Dynamics (eBook, PDF)
Joe Iannelli
eBook, PDF

Characteristics Finite Element Methods in Computational Fluid Dynamics (eBook, PDF)

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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, a...

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