Abstract
We present an adaptive reduced-order model for the efficient time-resolved simulation of fluid–structure interaction problems with complex and non-linear deformations. The model is based on repeated linearizations of the structural balance equations. Upon each linearization step, the number of unknowns is strongly decreased by using modal reduction, which leads to a substantial gain in computational efficiency. Through adaptive re-calibration and truncation augmentation whenever a non-dimensional deformation threshold is exceeded, we ensure that the reduced modal basis maintains arbitrary accuracy for small and large deformations. Our novel model is embedded into a partitioned, loosely coupled finite volume–finite element framework, in which the structural interface motion within the Eulerian fluid solver is accounted for by a conservative cut-element immersed-boundary method. Applications to the aeroelastic instability of a flat plate at supersonic speeds, to an elastic panel placed within a shock tube, and to the shock induced buckling of an inflated thin semi-sphere demonstrate the efficiency and accuracy of the method.
Highlights
Fluid–Structure Interaction (FSI) occurs in a broad range of applications, such as blood flow through heart valves [1], flutter of aircraft wings [2] and shock-induced deformations of rocket nozzles and panels [3,4]
The present paper addresses the performance of high-fidelity turbulence resolving FSI simulations with two loosely coupled domain-specific codes, where the time step size is restricted by the resolution requirements of the fluid flow
We proposed a computationally efficient and accurate Adaptive Reduced-Order Model (AROM) for non-linear aeroelasticity simulations that require a time-resolved representation of the fluid flow and structural dynamics
Summary
Fluid–Structure Interaction (FSI) occurs in a broad range of applications, such as blood flow through heart valves [1], flutter of aircraft wings [2] and shock-induced deformations of rocket nozzles and panels [3,4]. The parallelization of finite-element CSM methods is less straight-forward [12] This leads to the curious situation that one time step for advancing the CSM problem often requires a similar run time (wall-clock time) as one time step of the orders of magnitude more expensive (in terms of degrees of freedom) CFD equations [4,13]. We present and analyze an adaptive ROM (AROM) based on adaptive re-calibration of the reduced modal basis with MTA correction, which allows us to maintain arbitrary accuracy in the case of large and non-linear structural deformations. The essential original contribution of this work is the development and demonstration of a novel FSI-AROM algorithm, which is capable of handling structures with large, non-linear deformations accurately with high computational efficiency.
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