Error Estimator and Adaptive Moving Grids for Finite Volumes Schemes

摘要

A new adaptation technique has been developed for two- and three-dimensional grids, based on relocation of the mesh nodes. The flow is governed by the Euler equations expressed in an Euler-Lagrange 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 and 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. This is formulated so as to uniformly distribute the error, while keeping the same grid connectivity. The development is made for two- and three-dimensional grids, although results are presented only for two-dimensional flows.