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Chapter 7. Introduction to Numerical Methods for Fluid Flow

  1. Paul D. Bates2,
  2. Stuart N. Lane3,
  3. Robert I. Ferguson3
  1. N.G. Wright

Published Online: 10 OCT 2005

DOI: 10.1002/0470015195.ch7

Computational Fluid Dynamics: Applications in Environmental Hydraulics

Computational Fluid Dynamics: Applications in Environmental Hydraulics

How to Cite

Wright, N.G. (2005) Introduction to Numerical Methods for Fluid Flow, in Computational Fluid Dynamics: Applications in Environmental Hydraulics (eds P. D. Bates, S. N. Lane and R. I. Ferguson), John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/0470015195.ch7

Editor Information

  1. 2

    School of Geographical Sciences, University of Bristol, UK

  2. 3

    Department of Geography, University of Durham, UK

Author Information

  1. School of Engineering, The University of Nottingham, UK

Publication History

  1. Published Online: 10 OCT 2005
  2. Published Print: 22 APR 2005

ISBN Information

Print ISBN: 9780470843598

Online ISBN: 9780470015193

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Keywords:

  • fluid flow;
  • Partial Differential Equations (PDEs);
  • finite volume method;
  • Eulerian approach;
  • Lagrangian approach;
  • multiblock technique;
  • property of conservation;
  • shallow water equations;
  • ERCOFTAC Guidelines

Summary

This chapter contains sections titled:

  • Introduction

  • Methodology

  • Grids

  • Discretisation

  • Algebraic solution

  • Some definitions: consistency, stability and convergence

  • Boundary conditions

  • Solving the turbulence equations

  • Unsteady simulations

  • Simplification of the 3D equations for shallow water flows

  • Guidance for CFD users

  • The future

  • References