No abstract

No abstract

SUMMARYThe present paper is the third article in a three-part series on anisotropic mesh adaptation and its application to two-and three-dimensional, structured and unstructured meshes. This third paper concerns the application of the full adaptation methodology to 2-D unstructured meshes, including all four mesh modiÿcation strategies presented in Part I, i.e. reÿnement=coarsening, edge swapping and node movement. The mesh adaptation procedure is validated through a careful monitoring of a single adaptation step and of the solution-adaptation loop. Independence from the initial mesh and from the ow solver is illustrated. The e ciency of the overall methodology is investigated on relevant laminar and turbulent ow benchmarks.

SUMMARYDerivative recovery techniques are used in a posteriori error indicators to drive mesh adaptation. Their behaviour in the core of the computational domain and on boundaries constitutes an important efficiency factor for a subsequent mesh adaptation process. A methodology to compare recovery techniques for second-order derivatives from a piecewise linear approximation is presented in this paper. A systematic approach to measuring the performance of recovery techniques using analytical functions interpolated on a series of meshes is proposed. The asymptotic behaviour of some recently published recovery techniques, as well as new ones, is numerically assessed on various type of meshes. Recommendations are done on the choice of a recovery technique.

SUMMARYThe present paper is the second article in a three-part series on anisotropic mesh adaptation and its application to (2-D) structured and unstructured meshes. In the ÿrst article, the theory was presented, the methodology detailed and brief examples given of the application of the method to both types of grids. The second part details the application of the mesh adaptation method to structured grids. The adaptation operations are restricted to mesh movement in order to avoid the creation of hanging nodes. Being based on a spring analogy with no restrictive orthogonality constraint, a wide grid motion is allowed. The adaptation process is ÿrst validated on analytical test cases and its high e ciency is shown on relevant transonic and supersonic benchmarks. These latter test cases are also solved on adapted unstructured grids to provide a reference for comparison studies. The third part of the series will demonstrate the capability of the methodology on 2-D unstructured test cases.