2017
DOI: 10.1007/s00162-017-0426-0
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Minimal gain marching schemes: searching for unstable steady-states with unsteady solvers

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Cited by 9 publications
(7 citation statements)
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“…2006) and, more recently, a residual recombination procedure (Citro et al. 2017) and minimal gain marching (Teixeira & Alves 2017). Here the SFD method, as implemented in nektar++ and nek5000 , has been used to compute artificially stationary, unstable base states that were used for the subsequent modal analyses.…”
Section: Numerical Workmentioning
confidence: 99%
“…2006) and, more recently, a residual recombination procedure (Citro et al. 2017) and minimal gain marching (Teixeira & Alves 2017). Here the SFD method, as implemented in nektar++ and nek5000 , has been used to compute artificially stationary, unstable base states that were used for the subsequent modal analyses.…”
Section: Numerical Workmentioning
confidence: 99%
“…( 15) instead is much more efficient, despite the additional pseudo-time iterations per physicaltime step. These additional iterations can be minimized by using special marching schemes designed for the calculation of steady-states [5] when performing each pseudo-time integration.…”
Section: Recovering Time Accuracymentioning
confidence: 99%
“…The differentially heated cavity was used as a prototype application to demonstrate adjoint optimization of natural convection problems [25]. Finally, contributions to numerical aspects of flow instability and control analysis presented in this volume include a criterion for optimal grid adaptation associated with error sensitivity to grid refinement [16], as well as a novel framework for the computation of unstable steady basic flows [8], alternative to the well-established selective frequency damping method [2]. A boundary condition for the collocated solution of the two-and three-dimensional eigenvalue problems on collocated grids was presented [32] and a framework for the stability analysis of flows obtained by Lattice Boltzman methods [24] was also discussed.…”
Section: Contributions To the Present Volumementioning
confidence: 99%