In the second edition of this well known textbook, a full chapter on the finite volume method has been added a technique that combines the benefits of finite differences and finite elements. Specifically, it is applicable to three dimensional unsteady flows in complex geometrie and it uses structured collocated grids, which themselves can be orthogonal or non-orthogonal. Extension of the finite volume technique to compressible fluids, as well as turbulent flows, is possible.
Table of Contents
• Preface • PART Chapter 1: Review of Equation Governing Fluid Flow and Heat Transfer K. Muralidhar • Chapter 2: Applied Numerical Methods- K. Muralidhar • Chapter 3: Numerical Solution of Ordinary Differential Equations-Vinayak Eswaran • Chapter 4: Finite Differences, Discretization, Consistency, Stability and Fundamentals of Fluid Flow Modelling Gautam Biswas • PART Incompressible Flow and Heat Chapter 5: Finite Difference Applications in Heat Conduction and Convection-T. Sundararajan • Chapter 6: Solution of Viscous Incompressible Flows by the Stream Function Vorticity Formulation-T. Sundararajan • Chapter 7: Solution of Navier-Stokes Equations for Incompressible Flows using MAC and SIMPLE Algorithms Gautam Biswas • Chapter 8: Finite Element Method-K. Muralidhar • PART Inviscid Chapter 9: Panel Methods-K. Muralidhar • Chapter 10: Three Dimensional Panel Method for Compressible Flow-N.L. Arora • Chapter 11: Compressible Flows-T.K. Sengupta • PART Chapter 12: An Introduction to Spectral Methods-Vinayak Eswaran • Chapter 13: Automatic Grid Generation for Complex Geometry Problems-T. Sundararajan • Chapter 14: Operator-Splitting Algorithm for Advection-Diffusion Equations-K. Muralidhar • Chapter 15: Computation of Transitional Flows-T.K. Sengupta • Chapter 16: Finite Volume Method-A.Sharma et al. • Index