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Incompressible Flow & the Finite Element Method - Isothermal Laminar Flow V 2 (Paperback, V02)
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Incompressible Flow & the Finite Element Method - Isothermal Laminar Flow V 2 (Paperback, V02)
Expected to ship within 12 - 17 working days
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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 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, these two volumes form an essential
reference tool for all research students and applied scientists in
incompressible fluid mechanics.
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