The book gives an introduction to the fundamental properties of
hyperbolic partial differential equations und their appearance in
the mathematical modelling of various problems from practice. It
shows in an unique manner concepts for the numerical treatment of
such equations starting from basic algorithms up actual research
topics in this area. The numerical methods discussed are central
and upwind schemes for structured and unstructured grids based on
ENO and WENO reconstructions, pressure correction schemes like
SIMPLE and PISO as well as asymptotic-induced algorithms for
low-Mach number flows.
General
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