Section: New Results

Lagrangian hydrodynamics

Participants : Rémi Abgrall [Corresponding member] , Pierre-Henri Maire, François Vilar.

F. Vilar has achieved his thesis on the approximation of the Euler equations written in pure Lagrangian coordinates. He has foccussed on third order accuracy in time and space, usning a Discontinuous Galerkin formulation. The solution is approximated localy by quadratic polynomials. The boundary of elements are approximated by Bezier curves. He has managed to achieve an approximation consistant with the geometric Cosnervation Law. Many test cases have been computed, showing both a dramatic improvement of the accuracy and the robustness of the method with respect to its second order counterpart.