Project Title:

Aeroelastic Navier-Stokes Code Using a Novel High Order Compact

Continuum Dynamics, Inc.
P.O. Box 3073
Princeton, NJ 08543-3073

93-1 02.01 9282

Aeroelastic Navier-Stokes Code Using a Novel High Order Compact
Scheme

Abstract:

A need to extend current second order accurate finite
volume-based flow solvers to higher order accuracy is identified.
To meet this goal, a higher order compact strategy for modeling
unsteady compressible and viscous flows is proposed. By forming
spatial moments of the applicative conservation laws and also the
k-e turbulence model equations, expressions governing the
evolution of the higher order spatial derivatives of the flow
variables are obtained.  The higher order terms utilize the same
numerical flux-splitting expressions employed in their zeroth
order counterparts thereby taking advantage of the extensive
previous development of approximate Rieman solvers and also
retaining the closer physical modeling afforded by such models.
Different interpolation orders can be employed between
neighboring cells, thus opening the possibility of combined
polynomial order adaptation and spatial refinement leading to
faster convergence rates using fewer variables. During Phase I, a
2D aeroelastic Navier-Stokes code using a k-e turbulence model on
an unstructured triangular mesh will be developed. Results will
be obtained for selected transonic flows in order to validate the
code and demonstrate the computational effectiveness and
robustness of the higher order analysis.

The principal benefit of this work to commercial licensers of
this technology would be an adaptive higher order modeling
capability for fluid-structure interaction involving 3D
Navier-Stokes flows. Subsequent to the Phase I validation of the
new novel higher order compact scheme, an adaptive strategy
combining both polynomial order and spatial refinement will be
produced in the Phase II follow-on and applied to both fixed-wing
and rotor configurations. This software package will be marketed
in Phase III.

Higher Order Compact Scheme, Navier-Stokes Simulation, Finite
Volume Discretization, Fluid/Structure Interaction, Adaptation,
h-p Adaptation