Time-Stepping and Krylov Method for large scale instability problems
Chapitre d'ouvrage scientifique
Abstract
With the ever increasing computational power available and the development of high-performances computing, investigating the properties of realistic very 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 considered is explicitly assembled become rapidly intractable. Over the past two decades, so-called matrix-free approaches have emerged as an efficient alternative. 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.
Files in this item
- Name:
- DYNFLUID_CMBFD_2018_LOISEAU.pdf
- Size:
- 1.850Mb
- Format:
- Description:
- Chapitre d'ouvrage
Collections
Related items
Showing items related by title, author, creator and subject.
-
Article dans une revue avec comité de lectureBUCCI, Michele Alessandro; CHERUBINI, Stefania;
ROBINET, Jean-Christophe;
LOISEAU, Jean-Christophe (American Physical Society (APS), 2021)
The effect of freestream turbulence on the dynamics of an incompressible flow past a cylindrical roughness element in subcritical conditions (i.e., for Reynolds numbers below the onset of linear instability) has been ... -
Article dans une revue avec comité de lectureBUCCI, Michele Alessandro; PUCKERT, Dominik K.; ANDRIANO, Cesare; CHERUBINI, Stefania; RIST, Ulrich;
ROBINET, Jean-Christophe;
LOISEAU, Jean-Christophe (Cambridge University Press (CUP), 2017)
The onset of unsteadiness in a boundary-layer flow past a cylindrical roughness element is investigated for three flow configurations at subcritical Reynolds numbers, both experimentally and numerically. On the one hand, ... -
Article dans une revue avec comité de lecturePICELLA, Francesco; BUCCI, Michele Alessandro; CHERUBINI, Stefania;
ROBINET, Jean-Christophe (Elsevier, 2019)
Research on laminar-turbulent transition of wall-bounded parallel flows has usually focused on controlled scenarios where transition is triggered by perturbations having simple shapes and spectra. These disturbances strongly ... -
Article dans une revue avec comité de lectureCHERUBINI, Stefania; LERICHE, Emmanuel;
ROBINET, Jean-Christophe;
LOISEAU, Jean-Christophe (Cambridge University Press (CUP), 2014)
The linear global instability and resulting transition to turbulence induced by an isolated cylindrical roughness element of height h and diameter d immersed within an incompressible boundary layer flow along a flat plate ... -
Article dans une revue avec comité de lecturePICELLA, Francesco; LUSSEYRAN, F; CHERUBINI, Stefania; PASTUR, L;
ROBINET, Jean-Christophe;
LOISEAU, Jean-Christophe (Cambridge University Press (CUP), 2018)
The transition to unsteadiness of a three-dimensional open cavity flow is investigated using the joint application of direct numerical simulations and fully three-dimensional linear stability analyses, providing a clear ...