3D h-adaptive finite element simulations of inviscid and viscous flows

The paper presents an adaptive finite element method for solving compressible fluid flow problems with a special emphasis on techniques of mesh refinements. A specially designed for 3D viscous flows strategy of applying h-refinements, both anisotropic in boundary layers and isotropic elsewhere, together with underlying technical tools and assumptions, is presented. Examples of application to 3D viscous and inviscid supersonic flow problems are included.