Title: Finite Element CFD Analysis of Super-Maneuvering and Spinning Structures
Author(s): T.J. Cowan
Date: August 2003
Pages: 327
Formats: pdf (3245 KB)
Abstract:
Scope and Method of Study: A finite element CFD algorithm for solving the compressible Euler equations cast in a non-inertial frame is developed. The algorithm uses a space-time finite element formulation with artificial dissipation for stabilization. A predictor multi-corrector algorithm is utilized for advancing both steady and unsteady solutions. First-order and second-order algorithms are investigated for increasing the size of the allowable time step for unsteady solutions.
Aeroelastic solutions rely on the transpiration boundary condition to simulate deformations of the surface geometry. A modified transpiration boundary condition is evaluated for simulating local deformations in a non-inertial frame. The sensitivity of time-marched aeroelastic solutions to the discrete time step is also investigated. Modified structural integrators are presented for increasing the size of the allowable time step as well as quantifying the convergence of an aeroelastic solution for a particular time step.
Findings and Conclusions: Results are presented for a wide range of verification solutions, which serve to demonstrate the accuracy of the algorithm in comparison with theoretical solutions. Validation solutions with comparison to experimental results are presented for two transonic aeroelastic problems, wing-rock of slender delta wings, and a hovering rotor. These solutions demonstrate the applicability of the current methodology to relevant problems in aerospace.
Revised: April 22, 2003 [TJC]