Solution Methods In Computational Fluid Dynamics
by T. H. Pulliam
Publisher: NASA 2005
Number of pages: 90
Implicit finite difference schemes for solving two dimensional and three dimensional Euler and Navier-Stokes equations will be addressed. The methods are demonstrated in fully vectorized codes for a CRAY type architecture. We shall concentrate on the Beam and Warming implicit approximate factorization algorithm in generalized coordinates.
Download or read it online for free here:
by A. Tsionskiy, M. Tsionskiy - arXiv
Solutions of the Navier-Stokes and Euler equations with initial conditions (Cauchy problem) for two and three dimensions are obtained in the convergence series form by the iterative method using the Fourier and Laplace transforms in this paper.
by Johan Hoffman, Claes Johnson - Springer
In this book we address mathematical modeling of turbulent fluid flow, and its many mysteries that have haunted scientist over the centuries. We approach these mysteries using a synthesis of computational and analytical mathematics.
by Edward Nelson - Princeton University Press
Lecture notes for a course on differential equations covering differential calculus, Picard's method, local structure of vector fields, sums and Lie products, self-adjoint operators on Hilbert space, commutative multiplicity theory, and more.
by Harvey Philip Greenspan - Breukelen Press
The author's intention was to provide a foundation for the support and promotion of research in rotating fluids. The text concentrates on those topics which the author considers fundamental, of central importance to most the areas of application.