This second edition with four additional chapters presents the
physical principles and solution techniques for transient
propagation in fluid mechanics and hydraulics. The application
domains vary including contaminant transport with or without
sorption, the motion of immiscible hydrocarbons in aquifers, pipe
transients, open channel and shallow water flow, and compressible
gas dynamics.
The mathematical formulation is covered from the angle of
conservation laws, with an emphasis on multidimensional problems
and discontinuous flows, such as steep fronts and shock waves.
Finite difference-, finite volume- and finite element-based
numerical methods (including discontinuous Galerkin techniques) are
covered and applied to various physical fields. Additional chapters
include the treatment of geometric source terms, as well as direct
and adjoint sensitivity modeling for hyperbolic conservation laws.
A concluding chapter is devoted to practical recommendations to the
modeler.
Application exercises with on-line solutions are proposed at the
end of the chapters.
About the author
Vincent Guinot is professor of hydrodynamic modeling at the University of Montpellier, France. He teaches fluid mechanics, hydraulics, numerical methods and hydrodynamic modeling.
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