| The goal of this work was to implement an adaptive meshing strategy for unsteady flow simulation using unstructured meshes based on the finite element method. R-adaptation, in conjunction with an error estimator, was implemented in the framework of two algorithms for solving the Navier Stokes equations on moving meshes. The two algorithms were the Arbitrary Lagrangian Eulerian (ALE) scheme and the Dynamic Mesh Characteristic Galerkin (DMCG) scheme.; A Lineal spring analogy was employed to relocate nodes according to the error assessment, with restrictions imposed to preserve mesh quality. Solutions on the error estimator adapted mesh showed improved solution accuracy.; Studies using both the ALE scheme and the DMCG scheme showed that solution accuracy is sensitive to node movement characteristics during adaptation. Specifically mesh velocity interacts with the inherent error from the first order time splitting operation and the spatial discretization error. Test results indicate that this implementation is unsuitable. |
