Week 9 - FVM Literature Review

Interpolation scheme

In the Finite Volume form of the heat conduction equation the value the coefficient (alpha) which is a function of temperature is needed in two different locations (in case of 1D) – the interfaces between the adjacent two cells. And since the alpha is a function of temperature an interpolation scheme is needed to determine the value of the temperature there.

Flux limiters

These are used to bound the values that the gradients can take. The gradient values can take up large values in case of discontinuities in the flow.