Abstract : We propose and experiment a reconstruction finite-volume scheme for vertex-centered unstructured meshes. The reconstruction is quadratic and $P_2$-exact with respect to mean cell values. The quadrature formulas for fluxes are also exact for quadratic polynomial. The resulting scheme is third-order accurate. We evaluate its accuracy on advection test cases. We apply this method to the linearised Euler model and compare it to a superconvergent mixed-element-volume scheme.
https://hal.inria.fr/inria-00415762 Contributor : Alain DervieuxConnect in order to contact the contributor Submitted on : Thursday, September 10, 2009 - 7:23:06 PM Last modification on : Tuesday, August 2, 2022 - 3:48:57 AM Long-term archiving on: : Tuesday, June 15, 2010 - 11:29:24 PM