This paper aims to present an algorithm for local mesh refinement of finite elements in a two‐dimensional compressible fluid flow.
The algorithm works on a principle of maximum gradient of fluid variables, e.g. pressure, velocity and density. The simulation of two‐dimensional, transient, viscous, compressible, adiabatic flow of turbulent fluid through a De Laval nozzle was performed by the finite element method. The pressure gradient was used as a condition for mesh refinement.
With the gradient method faster numerical calculations can be obtained. Boundary layer separation and locations of normal shock waves can be described on locally refined mesh.
Further development of the algorithm is required, especially the determination of the gradient criterion.
The paper provides a new approach to mesh refinement. The mesh is refined automatically. Calculation time and required computer memory are decreased.
