Rc. Almeida et Ac. Galeao, AN ADAPTIVE PETROV-GALERKIN FORMULATION FOR THE COMPRESSIBLE EULER AND NAVIER-STOKES EQUATIONS, Computer methods in applied mechanics and engineering, 129(1-2), 1996, pp. 157-176
In this paper we combine a stable Petrov-Galerkin formulation for the
compressible Euler and Navier-Stokes equations with an h-adaptive reme
shing refinement, including directional stretching and stretching rati
o in the mesh regeneration procedure. The result is an accurate and ef
ficient scheme appropriated to solve problems presenting shocks and bo
undary-layers.