Section:
New Results
High order approximations
Participants :
Alain Dervieux, Bruno Koobus, Stephen Wornom, Tanya Kozubskaya [Keldysh Institute of Russian Academy] .
High order approximations for compressible flows on unstructured meshes
are facing many constraints that increase their complexity
i.e. their computational cost.
This is clear for the largest class of approximation, the class of
-exact schemes, which rely on a local polynomial representation
of degree . We are investigating schemes which would solve
as efficiently as possible the dilemma of choosing between
an approximation with a representation inside macro-elements
which finally constrains the mesh, and a representation around
each individual cell, as in vertex formulations. This is a cooperation with
the Keldysh Institute of Russian Academy which whom we have already developed
several families of superconvergent schemes.