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Introduction to Computational Fluid Dynamics by M. K. Laha, S. K. Chakrabartty, Pradip Niyogi

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4

Equations of Hyperbolic Type

Finite difference method for model partial differential equations of parabolic type have been discussed in the previous chapter. In the present chapter we discuss finite difference methods for model equations of hyperbolic type. We begin our discussion with the simplest equation of hyperbolic type, namely, the linear 1-D wave equation, also known as the convection equation. Hyperbolic system of conservation laws, which occur frequently in the study of Euler equations of fluid dynamics is discussed next. The convection–diffusion equation is an equation of much importance in fluid dynamics. Although it is of parabolic type, it has features different from parabolic type heat-conduction equation and knowledge of ...

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