Parallel implementation of k-exact finite volume reconstruction on unstructured grids

F Haider (1) , P Brenner (2) , B Courbet (1) , Jean-Pierre Croisille (3)

1 ONERA - The French Aerospace Lab [Châtillon]
2 Airbus Defence and Space
3 IECL - Institut Élie Cartan de Lorraine

We present a high-order piecewise polynomial approximation for finite volume schemes. This method is designed for general unstructured polyhedral grids. A new algorithm for the calculation of the approximants is discussed. The main geometric property of the procedure is that the direct neighborhood only is needed. This allows for an efficient parallel implementation.

Domaines: Milieux fluides et réactifs; Calcul parallèle, distribué et partagé [cs.DC]; Equations aux dérivées partielles [math.AP]

F Haider, P Brenner, B Courbet, Jean-Pierre Croisille. Parallel implementation of k-exact finite volume reconstruction on unstructured grids. High Order Nonlinear numerical schemes for evolutionary PDEs, Mar 2013, Bordeaux, France. pp.59-75, ⟨10.1007/978-3-319-05455-1_4⟩. ⟨hal-01283662⟩