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# Introduction to Finite Volume Methods II

## Overview

The Finite Volume Method (FVM) is one of the widely used numerical techniques in the scientific community and in industry as well. In this approach, the partial differential equations that represent the conservation laws to simulate fluid flow, heat transfer, and other related physical phenomena, are transformed over differential volumes into discrete algebraic equations over finite volumes (or elements or cells). Thereafter, the system of algebraic equations is solved to compute the values of the dependent variable for each of the elements to represent the physical processes.

1. Patankar, S. V. , Numerical Heat Transfer and Fluid Flow, McGraw-Hill, NewYork, 1980.
2. Chung, T. J., Computational Fluid Dynamics, Cambridge University Press, 2002.
3. Ferzziger, J.H., and Peric, M., Computational Methods for Fluid Dynamics, Springer, 2002.
4. Versteeg, H. K., and Malalasekera, W., An Introduction to Computational Fluid Dynamics, Longman Scientific and Technical, 1995.
5. Moukalled, F., Mangani, L., Darwish, M.,The Finite Volume Method in Computational Fluid Dynamics, Springer

## Syllabus

Week 1 : Linear Solvers
Week 2 : Linear Solvers (contd.)+ Discretization of Convection Equations
Week 3 : Discretization of Convection Equations (contd.)
Week 4 : Higher order discretization
Week 5 : Higher order discretization (contd.)
Week 6 : Unsteady discretization + Source term discretization
Week 7 : Fluid flow problem-Incompressible
Week 8 : Fluid flow problem-Compressible + Turbulence model

Prof. Ashoke De

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