标题：Inviscid/Viscous Hypersonic Flow In Confined Ducts And Around Of Immersed Bodies Considering Anisotropic Shock Capturing And Adaptive Mesh Refinement Techniques.
摘要：In this paper, we present a numerical study of the viscous/inviscid hypersonic
flows in confined ducts and around of immersed bodies. Nowadays the flow at
high Mach numbers and its interaction with deformable structures is
considered a ‘challenge’ in the context of numerical methods. In
hypersonic flow problems the non-linearities become high and any difficulty in
the convergence of the linear system may influence the nonlinear convergence
and finally make the solution to blow up. Then, global iteration result in a
non suitable scheme (high cpu and memory demands for preconditioned GMRes
method, for instance) for this step. A new preconditioner for domain
decomposition methods (see References1, 2, 3) is used in order to
obtain physical solutions and to accelerate the convergence to a low
tolerance in residuals. In order to diminish the solution error near physical
discontinuities (e.g. contact layers, shock waves) or expansion shocks an
adaptive mesh refinement technique is used. Besides, an anisotropic shock
capturing operator is added to the Galerkin/SUPG formulation. Also in this
work, we present results of a new methodology for imposing absorbing
boundary conditions for general advective-diffusive system of equations
(e.g., the compressible Navier- Stokes equations). Basically, two types of
local absorbing boundary conditions (b.c.) are considered, i.e. the linear
absorbent b.c., based on the Jacobian of the flux function, assuming small
perturbations about a reference value, and the general non-linear absorbent b.c.
based on the Riemann invariants of the problem (see Reference4 for a more
detailed description).
