Mesh adaptation with refinement and derefinement for a three-dimensional wind field model

Abstract

The refinement technique is used to adapt meshes to the singularities of the numerical solution of any problem. Local refinement is applied is mesh areas where the solution must be accurate and it is necessary to dispose of reliable error indicators or estimators which define the elements that must be refined. Usually, this indicators or estimators are difficult to obtain. On the other hand, derefinement is used to remove mesh elements on which the numerical solution can be easily interpolated. This process can be guided by a parameter that indicates the required precision for the numerical solution. This paper is about of using refinement/derefinement techniques to adapt meshes to the numerical solution but using global refinement instead of local ones. No error estimators or indicators are needed, and two numerical parameters are used to automatize the proces.