ERROR ESTIMATOR AND ADAPTIVE MOVING GRIDS FOR FINITE VOLUMES SCHEMES

A new adaptation technique has been developed for two- and three-dimen sional grids, based on relocation of the mesh nodes. The flow is gover ned by the Euler equations expressed in an Euler-Lagange form and the discretization uses a first-order finite volume scheme based on Roe's approximate Riemann solver. The grid is unstructured, and its motion a nd evolution obey the physical and geometrical conservation laws. The error is evaluated by a reconstructed,higher order solution, which is used to derive a forcing term to drive the motion of the grid nodes. T his is formulated so as to uniformly distribute the error, while keepi ng the same grid connectivity. The development is made for two- and th ree-dimensional grids, although results are presented only for two-dim ensional flows.