Efficient implementation of finite volume methods in Numerical Relativity

Understand

Centered finite volume methods are considered in the context of Numerical Relativity.

• A specific formulation is presented, in which third-order space accuracy is reached by using a piecewise-linear reconstruction.
• This formulation can be interpreted as an 'adaptive viscosity' modification of centered finite difference algorithms.
• These points are fully confirmed by 1D black-hole simulations.