ABSTRACT

Fluid dynamics is governed by conservation of mass, momentum, energy and any additional equations describing the scalar transport of species (e.g. transport of particles or concentration of dissolved solids). Chapter 2 deals with the governing equations that are used in Computational Fluid Dynamics (CFD) and their derivations. Although students have been exposed to these equations in their earlier courses, they are included here as these equations form the base of CFD. The basic difference between conservative and non-conservative forms of equations and their merit are discussed, as well as methods for solving compressible and incompressible flow. Finally, the physical and mathematical significance of Partial Difference Equations and various types of boundary conditions (BCs) are also discussed in this chapter.