A Lagrangian Scheme à la Brenier for the Incompressible Euler Equations

the exact Godunov scheme to deal with conservation laws, or in an alternative way to an approximate Godunov scheme called VFRoe-ncv which is based on velocity and pressure

In the present paper, we study the fast rotation limit for the density-dependent incompressible Euler equations in two space dimensions with the presence of the Coriolis force.. In

An essential feature of the studied scheme is that the (discrete) kinetic energy remains controlled. We show the compactness of approximate sequences of solutions thanks to a

These inclusions are at least separated by a distance ε α and we prove that for α small enough (namely, less than 2 in the case of the segment, and less than 1 in the case of

Our approach combines Arnold’s interpretation of the solution of Euler’s equation for incompressible and inviscid flu- ids as geodesics in the space of

(2010) [2] we show that, in the case of periodic boundary conditions and for arbitrary space dimension d 2, there exist infinitely many global weak solutions to the

In our method, energy-preserving schemes are obtained as a discrete analogue of the Euler–Lagrange equation that is derived by using the symmetry of time translation of the

In Section 8, we finally present a blend scheme which benefits from advantages of standard conservative schemes (convergence towards the right solution as the mesh size tends to 0)