Titlebook: Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics; Alexander Gelfgat Book 2019 Springer International Publishing

争论

Preliminary Result of Model Analysis, The aim of this chapter is thus to provide an overview of well-grounded matrix-free methods for fixed points computations and linear stability analyses of very large-scale nonlinear dynamical systems.

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https://doi.org/10.1007/978-1-4419-6035-1y becomes turbulent, we investigate a dominating coherent wake structure, namely a helical vortex tube, inside of which a helical symmetry alteration scenario was recovered in the intermediate wake, together with self-similarity in the far wake.

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Time-Stepping and Krylov Methods for Large-Scale Instability Problems The aim of this chapter is thus to provide an overview of well-grounded matrix-free methods for fixed points computations and linear stability analyses of very large-scale nonlinear dynamical systems.

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枫树

Perceive

组成

Time-Stepping and Krylov Methods for Large-Scale Instability Problemsery large-scale nonlinear dynamical systems has become reachable. It must be noted however that the memory capabilities of computers increase at a slower rate than their computational capabilities. Consequently, the traditional matrix-forming approaches wherein the Jacobian matrix of the system cons

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Unstable Periodically Forced Navier–Stokes Solutions–Towards Nonlinear First-Principle Reduced-Orderequations around its fixed point in a frequency domain formulation. While the most amplified stability eigenmode is readily identified by a power method, the technical challenge is the computation of more damped higher-order eigenmodes. This challenge is addressed by a novel method to compute unstab

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On Acceleration of Krylov-Subspace-Based Newton and Arnoldi Iterations for Incompressible CFD: Repla and realized via time-stepping. First, we suggest a generalization of the Stokes operator so that the resulting preconditioner operator depends on several parameters and whose action preserves zero divergence and boundary conditions. The parameters can be tuned for each problem to speed up the conv