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Fluid Structure Problems

The Von-Karman nonlinear, dynamic, partial differential system over rectangular domains is solved by the Chebyshev-collocation method in space and the implicit Newmark-ß time marching scheme in time. In the Newmark-ß scheme, a non-linear fixed point iteration algorithm is employed.

We monitor both temporal and spatial discretization errors based on derived analytical solutions, demonstrating highly accurate approximations. We also quantify the influence of a common modeling assumption which neglects the in-plane inertia terms in the full Von-Karman system, demonstrating that it is justified. A comparison of our steady-state Von-Karman solutions to previous results in the literature and to a three-dimensional high-order finite element analysis is performed, showing an excellent agreement. Other modeling assumptions such as neglecting in-plane quadratic terms in the strain expressions are also addressed.

Example Problem: Deflected Wing Modifies the Flow Field Ramifications: Upstream Wing Fluid Conditions Can Dictate Horizontal Stabilizer Incoming Flow.

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Principal Researchers:

• Dr. Mike Kirby
• Zohar Yosibash