KRYLOV SUBSPACE RECYCLING FOR LINEARISED AERODYNAMICS ANALYSIS USING DLR–TAU

S. Xu, S. Timme, K. J. Badcock

DOI Number: N/A

Conference number: IFASD-2015-186

The major computational challenge, when using frequency domain linearised computational ﬂuid dynamics in the analysis of aeroelastic problems such as aircraft ﬂutter, gust response or shock buﬀet, are the excessive memory and CPU time requirements to solve the large sparse linear systems of equations. To address these issues found with the generalised minimal residual linear equation solver currently used in the DLR–TAU code, the generalised conjugate residual solver with deﬂated restarting is adopted. Here an invariant Krylov subspace is recycled both between restarts when solving a single linear frequency domain problem and for a sequence of equations when varying the system matrix and forcing terms. The proposed method is applied to three test cases including the forced excitation of a pitch-plunge aerofoil, the fast prediction of shock buﬀet onset for an aerofoil using global stability analysis and the computation of a reduced order model basis for a realistic passenger aircraft. The memory requirements for the problems investigated are reduced by up to an order of magnitude, while the CPU times are reduced by up to a factor of three.

Read the full paper here

DLR–TAU Code, flutter, GCRO-DR, GMRES, Gust response, Krylov Subspace Recycling, Linearised Computational Fluid Dynamics, Shock Buﬀet

In Categories: 2. IFASD 2015, Computational Aeroelasticity

The paper above was part of proceedings of a CEAS event and as such the author has signed a publication agreement to have their paper published in the repository. In the case this paper is found somewhere else CEAS always links to the other source. CEAS takes great care in making the correct content available to the reader. If any mistakes are found in the listings please contact us directly at papers@aerospacerepository.org and we will correct the listing promptly. CEAS cannot be held liable either for mistakes in editorial or technical aspects, nor for omissions, nor for the correctness of the content. In particular, CEAS does not guarantee completeness or correctness of information contained in external websites which can be accessed via links from CEAS’s websites. Despite accurate research on the content of such linked external websites, CEAS cannot be held liable for their content. Only the content providers of such external sites are liable for their content. Should you notice any mistake in technical or editorial aspects of the CEAS site, please do not hesitate to inform us.