FVM Literature Review

Interpolation Schemes :

Interpolation is the process of using points with known values or sample points to estimate values at other unknown points. In FVM interpolation schmes are used to find the values of volume intergrals required at the points other than nodes.

Some of the used methods are the central differencing scheme, hybrid scheme, upwid scheme and QUICK scheme.

Flux Limiters:

The main idea behind the construction of flux limiter schemes is to limit the spatial derivatives to realistic values – for scientific and engineering problems this usually means physically realisable and meaningful values. They are used in high resolution schemes for solving problems described by PDEs and only come into operation when sharp wave fronts are present. They are used to avoid the spurious oscillations (wiggles) that would otherwise occur with high order spatial discretization schemes due to shocks, discontinuities or sharp changes in the solution domain.