Abstract
Over the past decade the Harmonic-Balance technique has been established as a viable alternative to direct time integration methods to predict periodic aeroelastic instabilities. This article reports the progress made in using a frequency updating procedure, based on a coupled fluid-structural solver using the Harmonic-Balance formulation. In particular, this paper presents an efficient implicit time-integrator that accelerates the convergence of the structural equations of motion to the final solution. To demonstrate the proposed approached, the paper includes a detailed investigation of the impact of input parameters and exercises the method for two types of fluid-structural nonlinear instabilities: transonic limit-cycle oscillations and vortex-induced vibrations.
Highlights
The ever growing capability of computing hardware and software, enabled high fidelity computational fluid dynamics (CFD) to become the primary tool for the study of fluid physics
With similar advancements in computational structural dynamics (CSD) and coupling algorithms, CFD has been extensively applied to fluid-structure interaction problems where flow nonlinearities such as shock waves or flow separation play a dominant role
The following sections will describe the numerical formulation for the flow and structural models, this is followed by the introduction of the new coupling procedure; the final two sections of the paper present a diverse range of test cases used to critique the new A-HB method and the conclusions obtained from this work
Summary
The ever growing capability of computing hardware and software, enabled high fidelity computational fluid dynamics (CFD) to become the primary tool for the study of fluid physics. [1,3], LCO can be predicted by model order reduction using the critical eigenbasis of the Jacobian of the coupled system The A-HB approach and its version developed for VIV employs an explicit scheme to resolve the structural equations of motion, together with a relaxation approach to update the fundamental frequency of the oscillation Both these strategies limit the efficiency of the iterative scheme. The following sections will describe the numerical formulation for the flow and structural models, this is followed by the introduction of the new coupling procedure; the final two sections of the paper present a diverse range of test cases used to critique the new A-HB method and the conclusions obtained from this work
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