Book D. Finite-Difference Techniques...Fluid Dynamics Calc. 1981

Textbook in PDF format

This book describes several finite-difference techniques developed recently for the numerical solution of fluid equations. Both convective (hyperbolic) equations and elliptic equations (of Poisson's type) are discussed. The em­ phasis is on methods developed and in use at the Naval Research Laboratory, although brief descriptions of competitive and kindred techniques are included as background material. This book is intended for specialists in computational fluid dynamics and related subjects. It includes examples, applications and source listings of program modules in Fortran embodying the methods.
Introduction
Computational Techniques for Solution of Convective Equations
Flux-Corrected Transport
Efficient Time Integration Schemes for Atmosphere and Ocean Models
A One-Dimensional Lagrangian Code for Nearly Incompressible Flow
Two-Dimensional Lagrangian Fluid Dynamics Using Triangular Grids
Solution of Elliptic Equations
Vectorization of Fluid Codes