A Robust Solution Procedure for the Transonic Small-Disturbance Equation in Fluid-Structure Interactions

Rarefaction wave interaction for the unsteady transonic small disturbance equations

We study a Riemann problem for the unsteady transonic small disturbance equations that results in a diverging rarefaction problem. The self-similar reduction leads to a boundary value problem with equations that change type (hyperbolic-elliptic) and a sonic line that is a free boundary. We summarize the principal ideas and present the main features of the problem. The flow in the hyperbolic par...

A mesh adaptivity procedure for CFD and fluid-structure interactions

We present a procedure to adapt and repair meshes in the general solution of Navier–Stokes incompressible and compressible fluid flows, including structural interactions. For fluid-structure interactions, FSI, the fluid is described by an arbitrary-Lagrangian–Eulerian formulation fully coupled to general solids and structures described by Lagrangian formulations. The solids and structures can u...

An Elliptic Problem Arising from the Unsteady Transonic Small Disturbance Equation

We prove a theorem on existence of a weak solution of the Dirich-let problem for a quasilinear elliptic equation with a degeneracy on one part of the boundary. The degeneracy is of a type (\Keldysh type") associated with singular behavior | blow-up of a derivative | at the boundary. We deene an associated operator which is continuous , pseudo-monotone and coercive and show that a weak solution ...

Weak Shock Reflection Modeled by the Unsteady Transonic Small Disturbance Equation

Fluid/structure Coupled Aeroelastic Computations for Transonic Flows in Turbomachinery

The present study demonstrates the capabilities of a fluid/structure coupled computational approach which consists of an unsteady three-dimensional Navier-Stokes flow solver, TFLO, and a finite element structural analysis package, MSC/NASTRAN. The parallelized flow solver relies on a multiblock cell-centered finite volume discretization and the dual time stepping time integration scheme with mu...