In this work we briefly describe a technique to define second order finite volume schemes on non uniform cartesian grids. The purpose is to couple this scheme with an error indicator to drive mesh adaptivity. In this context, it is crucial that the underlying scheme uses a very compact stencil. Here we illustrate an algorithm that matches this goal, without giving up accuracy, while relaying on a non oscillatory reconstruction.

Finite Volume schemes on 2D non-uniform grids

M. Semplice
2014-01-01

Abstract

In this work we briefly describe a technique to define second order finite volume schemes on non uniform cartesian grids. The purpose is to couple this scheme with an error indicator to drive mesh adaptivity. In this context, it is crucial that the underlying scheme uses a very compact stencil. Here we illustrate an algorithm that matches this goal, without giving up accuracy, while relaying on a non oscillatory reconstruction.
2014
Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the 14th International Conference on Hyperbolic Problems held in Padova june 25-29 2012
9781601330178
HYP2012 - 14th International Conference devoted to Theory, Numerics and Applications of Hyperbolic Problems
Padova
25-29 Giugno 2012
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2095804
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