Adjoint-based phase reduction analysis of incompressible periodic flows
نویسندگان
چکیده
Phase reduction is a reduced-order modeling technique that can express the high-dimensional periodic dynamics with single scalar phase variable. We develop an adjoint-based framework for incompressible flows. This analysis reveals high-fidelity spatial sensitivity fields respect to perturbation over limit cycle of flow in computationally efficient manner.
منابع مشابه
Periodic Homogenization of the Inviscid G-equation for Incompressible Flows
G-equations are popular front propagation models in combustion literature and describe the front motion law of normal velocity equal to a constant plus the normal projection of fluid velocity. G-equations are Hamilton-Jacobi equations with convex but non-coercive Hamiltonians. We prove homogenization of the inviscid G-equation for space periodic incompressible flows. This extends a two space di...
متن کاملPeriodic Homogenization of Inviscid G-equation for Incompressible Flows
G-equations are popular front propagation models in combustion literature and describe the front motion law of normal velocity equal to a constant plus the normal projection of fluid velocity. G-equations are Hamilton-Jacobi equations with convex but non-coercive Hamiltonians. We prove homogenization of inviscid G-equation for space periodic incompressible flows. This extends a two space dimens...
متن کاملPhase-response analysis of synchronization for periodic flows
We apply the phase-reduction analysis to examine synchronization properties of periodic fluid flows. The dynamics of unsteady flows are described in terms of the phase dynamics reducing the high-dimensional fluid flow to its single scalar phase variable. We characterize the phase response to impulse perturbations, which can in turn quantify the influence of periodic perturbations on the unstead...
متن کاملMaximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows
In this paper we establish conditions for the maximal, Pe, behavior of the effective diffusivity in time-periodic incompressible velocity fields for both the Pe oc and Pe 0 limits. Using ergodic theory, these conditions can be interpreted in terms of the Lagrangian time averages of the velocity. We reinterpret the maximal effective diffusivity conditions in terms of a Poincar6 map of the veloci...
متن کاملIncompressible Flows Based Upon Stabilized Methods
SUMMARY We give a brief overview of our eeorts in developing stabilized nite element methods for incompressible ows. In particular, we review some suggestions for stability parameters and comment once more on the curious relationships between some stable Galerkin and stabilized nite element methods.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical review fluids
سال: 2022
ISSN: ['2469-9918', '2469-990X']
DOI: https://doi.org/10.1103/physrevfluids.7.104401