ABSTRACT
ABSTRACT: In this lecture a review of better than second order accurate finite volume schemes for hyperbolic conservation laws in multiple space dimensions is given. The lecture is divided in five parts. In the first part, a short recall of higher order one-dimensional WENO reconstruction techniques is given. In the second part, implementation details for higher order polynomial WENO finite volume reconstruction operators are shown on two-dimensional Cartesian meshes. In the third part, higher order WENO reconstruction operators are presented for unstructured triangular meshes. In the fourth part, a brief overview of high order one-step time-discretizations is given and in the last part some computational results are presented.
