ISBN 9788126539246,Numerical Computation of Internal and External Flows: Fundamentals of Numerical Discretization, Volume 1

Numerical Computation of Internal and External Flows: Fundamentals of Numerical Discretization, Volume 1

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ISBN 9788126539246
Publisher

Wiley India Pvt Ltd

Publication Year 2012
ISBN-13

ISBN 9788126539246

ISBN-10 8126539240
Binding

Hardback

Number of Pages 536 Pages
Language (English)
Subject

Numerical analysis

Table of Contents
The mathematical models for fluid flow simulations at various levels of approximation.
The basic equations of fluid dynamics.
The dynamic levels of approximation.
The mathematical nature of the flow equations and their boundary conditions.
Basic discretization techniques.
The finite difference method.
The finite element method.
Finite volume method and conservative discretization.
The analysis of numerical schemes.
The concepts of consistency, stability, and convergence.
The von Neumann method for stability analysis.
The method of the equivalent differential equation for the analysis of stability.
The matrix method for stability analysis.
The resolution of discretized equations.
Integration methods for systems of ordinary differential equations.
Iterative methods for the resolution of algebraic systems
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