A new recent CFD methodology, refered to adaptive H-P finite element method, has been reproduced in this paper to investigate the scheme properties and its performence in solving the Euler equations. The idea is that the mesh size h and the spectral order p of each cell can be changed for improved accuracy of solution by mesh refinement or coarsening and at the same time by polynomial order enrichment or reduction. Challenges are to devise an efficient data structure and adaptation strategy for implementing H-P schemes, the adaptive schemes generally being controlled to reduce cellwise errors.
Schmes tried herein are implicit Taylor-Galerkin algorithm for H-P implementation and SUPG algorithm for only H adaptive strategy for two dimensional problems. Tested application includes a supersonic flow over a 20-degree wedge and a supersonic flow past a blunt body.