Incompressible Flow and the Finite Element Method
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Описание:
This comprehensive two volume reference work is devoted to the important details regarding the application of the finite element method to incompressible flows, addressing the theoretical background and the detailed development of appropriate numerical methods applied to their solution. Volume One provides extensive coverage of the prototypical fluid mechanics equation: the advection–diffusion equation. In addition, for both this equation and the equations of principal interest – the Navier–Stokes equations – (covered in detail in Volume Two), a discussion of both the continuous and discrete equations is presented. Also addressed are explanations of how to properly march the time–dependent equations using smart implicit methods. Boundary and initial conditions, so important in applications, are thoroughly described and discussed, including well–posedness. The important role played by the pressure, so confusing in the past, is carefully explained. Together, this two volume work...Похожие книги
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