Finite Volume Method

Description

This module offers a very flexible implementation of a cell center Finite Volume method, parallel (with a tunable overlap size), both explicit and implicit, steady and unsteady (ALE formulation). The underlying algorithm to compute the residual and the jacobian contribution for the system matrix can handle multiple weakly coupled systems of equations, as in the case of an Inductively Coupled Plasma or Turbulent flows, as well as single systems like Euler, Navier-Stokes, compressible and incompressible LTE flows, thermal and chemical non equilibrium mixtures, MHD for space weather applications. Several schemes like Roe, Van Leer, AUSM family, Lax-Friedrichs, HLL, Rhie-Chow, Steger-Warming are available. Second order accuracy in space can be achieved with a Least-square reconstruction with different choice of stencil, and oscillations are prevented by using multi-dimensional limiters like Barth's or Venkatakrishnan's. Second order accuracy in time is guaranteed by multi-stage Runge Kutta, Crank-Nicholson, Three Point Backward time integrators. Novel implicit time limited schemes are also available.

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Source

The Finite Volume module has it's sources here.