A HYBRID FINITE-ELEMENT SCHEME FOR INVISCID SUPERSONIC FLOWS

A hybrid monotonous finite element algorithm is developed in the prese nt paper, based on a second-order-accurate finite element scheme and a first-accurate monotonous one derived from the former by a unilateral lumping procedure in one dimensional case. The switch functions for t he two dimensional Euler equation system are constructed locally, base d on the gradient of the flow field, with special consideration on the information from neighboring elements. Examples show that the new sch eme can eliminate oscillations near strong shocks obviously.