Hybrid Difference Scheme

The hybrid difference scheme is a method used in the numerical solution for convection–diffusion problems. It was first introduces by Spalding (1970). It is a combination of central difference scheme and upwind difference scheme as it exploits the favorable properties of both of these schemes.

Hybrid difference scheme is a method used in the numerical solution for convection-diffusion problems. These problems play important roles in computational fluid dynamics. It can be described by the general partial equation as follows:

Where, ${\displaystyle \rho }$ is density, ${\displaystyle \mathbf {u} }$ is the velocity vector, ${\displaystyle \Gamma }$ is the diffusion coefficient and ${\displaystyle S_{\phi }}$ is the source term. In this equation property, ${\displaystyle \phi }$ can be temperature, internal energy or component of velocity vector ${\displaystyle \mathbf {u} }$ in x, y and z directions.

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