Mathematical Models

This series of five volumes proposes an integrated description of physical processes modeling used by scientific disciplines from meteorology to coastal morphodynamics. Volume 1 describes the physical processes and identifies the main measurement devices used to measure the main parameters that are indispensable to implement all these simulation tools.Volume 2 presents the different theories in an integrated approach: mathematical models as well as conceptual models, used by all disciplines to represent these processes. Volume 3 identifies the main numerical methods used in all these scientific fields to translate mathematical models into numerical tools. Volume 4 is composed of a series of case studies, dedicated to practical applications of these tools in engineering problems. To complete this presentation, volume 5 identifies and describes the modeling software in each discipline.

Keywords: introduction; jacques; reminders; fluids; properties; mechanical; conservation; state; behavior; relations; laws; geophysical fluids; dynamics; ducrocq; quantity; equation; balance; navierstokes; fluid; equations; rotation; models, Fluid Mechanics, Applied Mathematics in Science, Fluid Mechanics, Applied Mathematics in Science