The Numerical Solution of the Navier-Stokes Equations for an Incompressible Fluid (Classic Reprint) - Hardcover

Alexandre Jo�l Chorin

9780331605402: The Numerical Solution of the Navier-Stokes Equations for an Incompressible Fluid (Classic Reprint)

Hardcover

ISBN 10: 0331605406 ISBN 13: 9780331605402

Publisher: Forgotten Books, 2018

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Efficient ways to solve the incompressible Navier–Stokes equations

This book presents a practical predictor–corrector approach that enforces mass conservation while advancing velocity and pressure fields. It compares strategies to established methods and shows how to achieve stable, accurate results on simple-shaped domains.

Two clear sections show how to build and test the scheme. It explains how to set up auxiliary fields, choose time steps, and handle boundary data so the core equations are satisfied throughout the domain. The discussion emphasizes when implicit schemes help you take larger steps and how to adapt the method for three-dimensional problems.

A concrete predictor–corrector framework for incompressible flow that targets convergence to Du = 0
Details on boundary treatment, pressure approximation, and iterative convergence criteria
Implementation notes for an alternating-direction implicit method (including Peaceman–Rachford)
Results from a two-dimensional test problem and guidance on interpreting errors and stability

Ideal for readers seeking a practical, computation-focused approach to simulating incompressible fluid flow with clear step-by-step procedures and comparisons to other methods.

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