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 first 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.
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