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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...
We build a non-dissipative second order algorithm for the approximate resolution of the
one-dimensional Euler system of compressible gas dynamics with two components. The
considered model was proposed in [1]. The algorithm is based on [8] which deals with a
non-dissipative first order resolution in Lagrange-remap formalism. In the present paper
we describe, in the same framework, an algorithm that is second order accurate in time and
space, and that...
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