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Incompressible Flow & the Finite Element Method - Advection-Diffusion V 1 (Paperback, V01)
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Incompressible Flow & the Finite Element Method - Advection-Diffusion V 1 (Paperback, V01)
Expected to ship within 12 - 17 working days
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This comprehensive two-volume reference covers the application of
the finite element method to incompressible flows in fluid
mechanics, addressing the theoretical background and the
development of appropriate numerical methods applied to their
solution.
Volume One provides extensive coverage of the prototypical fluid
mechanics equation: the advection-diffusion equation. 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, as well as explanations of how to properly march the
time-dependent equations using smart implicit methods. Boundary and
initial conditions, so important in applications, are carefully
described and discussed, including well-posedness. The important
role played by the pressure, so confusing in the past, is carefully
explained.
The book explains and emphasizes consistency in six areas:
* consistent mass matrix
* consistent pressure Poisson equation
* consistent penalty methods
* consistent normal direction
* consistent heat flux
* consistent forces
Fully indexed and referenced, this book is an essential reference
tool for all researchers, students and applied scientists in
incompressible fluid mechanics.
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