Numerical Bifurcation Analysis in 3D Kolmogorov Flow Problem
DOI10.5890/JAND.2019.12.007zbMath1478.76056MaRDI QIDQ5026311
N. A. Magnitskiĭ, N. M. Evstigneev, O. I. Ryabkov
Publication date: 7 February 2022
Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)
Navier-Stokes equationslaminar-turbulent transitionbifurcation analysisspectral methods3D Kolmogorov flow
Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bifurcation diagrams in Kolmogorov's problem of viscous incompressible fluid on 2-D flat tori
- Newton-Krylov continuation of periodic orbits for Navier-Stokes flows
- Bifurcation of the Kolmogorov flow with an external friction
- Qualitative analysis of dynamics in Kolmogorov's problem on a flow of a viscous incompressible fluid
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Weak turbulence in periodic flows
- Bifurcation from multiple complex eigenvalues
- On stability of secondary flows of a viscous fluid in unbounded space
- BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
- Blue sky catastrophes
- Bifurcation analysis of incompressible flow in a driven cavity by the Newton-Picard method
- Complex dynamics in double-diffusive convection
- Practical bifurcation and stability analysis
- On Matrix-Free Computation of 2D Unstable Manifolds
- Variations on Kolmogorov flow: turbulent energy dissipation and mean flow profiles
- Approximation of attractors, large eddy simulations and multiscale methods
- Implementing Spectral Methods for Partial Differential Equations
- Numerical Linear Algebra Aspects of Globally Convergent Homotopy Methods
- Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid
- Three-dimensional Floquet stability analysis of the wake of a circular cylinder
- Hopf bifurcation with cubic symmetry and instability of ABC flow
- Nonlinear Dynamics of Laminar-Turbulent Transition in Generalized 3D Kolmogorov Problem for Incompressible Viscous Fluid at Symmetric Solution Subset
- Numerical study of three-dimensional Kolmogorov flow at high Reynolds numbers
- Heteroclinic path to spatially localized chaos in pipe flow
- Box-size dependence and breaking of translational invariance in the velocity statistics computed from three-dimensional turbulent Kolmogorov flows
- The use of global modes to understand transition and perform flow control
- Sustaining processes from recurrent flows in body-forced turbulence
- Numerical Bifurcation Methods and their Application to Fluid Dynamics: Analysis beyond Simulation
- Invariant recurrent solutions embedded in a turbulent two-dimensional Kolmogorov flow
- MATCONT
- AN EXAMPLE OF LOSS OF STABILITY AND GENERATION OF A SECONDARY FLOW IN A CLOSED VESSEL
- Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
- Computation of non-smooth local centre manifolds
- Elements of applied bifurcation theory
- Initiation of self-oscillations at loss of stability of spatially-periodic, three-dimensional viscous flows with respect to long-wave perturbations
This page was built for publication: Numerical Bifurcation Analysis in 3D Kolmogorov Flow Problem