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A new scheme for discretizing the
model on unstructured
polygonal meshes is proposed. This scheme is designed such that its limit in the diffusion
regime is the MPFA-O scheme which is proved to be a consistent variant of the Breil-Maire
diffusion scheme. Numerical tests compare this scheme with a derived GLACE scheme for the
system.
We propose a bi-dimensional finite volume extension of a continuous ALE method on
unstructured cells whose edges are parameterized by rational quadratic Bezier curves. For
each edge, the control point possess a weight that permits to represent any conic (see for
example [LIGACH]) and thanks to [WAGUSEDE,WAGU], we are able to compute the of our cells. We then give an extension of scheme for remapping step based
on volume fluxing [MARSHA] and self-intersection...
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