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Titlebook: Numerical Solution of the Incompressible Navier-Stokes Equations; L. Quartapelle Book 1993 Springer Basel AG 1993 Navier-Stokes equation.c

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Book 1993ics. It covers that part of the subject matter dealing with the equations for incompressible viscous flows and their determination by means of numerical methods. A substantial portion of the book contains new results and unpublished material.
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Book 1993n procedures. The conditions required to satisfy the no-slip boundary conditions in the various formulations are discussed in detail. Rather than focussing on a particular spatial discretization method, the text provides a unitary view of several methods currently in use for the numerical solution o
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0373-3149 al solution procedures. The conditions required to satisfy the no-slip boundary conditions in the various formulations are discussed in detail. Rather than focussing on a particular spatial discretization method, the text provides a unitary view of several methods currently in use for the numerical
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Nonprimitive variable formulations in 3D,two second-order scalar equations, one parabolic and the other elliptic, the vorticity equation being completely independent in linear situations. It seems therefore worthwhile to investigate whether these abstract geometrical ideas can be generalized to three dimensions.
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,The incompressible Navier—Stokes equations,especially when solid walls are present. Of course, the appropriate treatment depends on which variables are chosen as unknowns and, from a numerical viewpoint, the specific form assumed by the boundary conditions may also depend on the method adopted for discretizing space and time.
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Nonprimitive variable formulations in 2D,motion. Such a fully scalar representation of the governing equations is by far the most frequently used for studying both steady and unsteady problems, because it offers the two advantages of reducing the number of the unknowns and of eliminating the in-compressibility condition whose fulfillment may be very difficult to be achieved, numerically.
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,Evolutionary pressure—velocity equations,f the problem. It seems therefore legitimate to ask whether pressure integral conditions can be established also for the unsteady primitive variable Navier-Stokes equations, or for any linearized version of them, before the time discretization is introduced.
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