Set-Oriented and Finite-Element Study of Coherent Behavior in Rayleigh-Bénard Convection
DOI10.1007/978-3-030-51264-4_4zbMath1454.37083OpenAlexW3043859863MaRDI QIDQ5131675
Jörg Schumacher, Anna Klünker, Gary Froyland, Christiane Schneide, Kathrin Padberg-Gehle
Publication date: 9 November 2020
Published in: Advances in Dynamics, Optimization and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-51264-4_4
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Convection in hydrodynamic stability (76E06) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The efficient approximation of coherent pairs in non-autonomous dynamical systems
- Attraction-based computation of hyperbolic Lagrangian coherent structures
- Computing coherent sets using the Fokker-Planck equation
- Large-scale patterns in Rayleigh-Bénard convection
- Local expansion concepts for detecting transport barriers in dynamical systems
- Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows
- Coherent sets for nonautonomous dynamical systems
- Cell-to-cell mapping. A method of global analysis for nonlinear systems
- Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
- A subdivision algorithm for the computation of unstable manifolds and global attractors
- Finite-time entropy: a probabilistic approach for measuring nonlinear stretching
- Statistically optimal almost-invariant sets
- An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems
- A stochastic approach for computing the domain of attraction without trajectory simulation
- Aspect ratio dependence of heat transfer and large-scale flow in turbulent convection
- Dynamic isoperimetry and the geometry of Lagrangian coherent structures
- On the Approximation of Complicated Dynamical Behavior
- Almost Invariant Sets in Chua's Circuit
- How well-connected is the surface of the global ocean?
- A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data
- Understanding the geometry of transport: Diffusion maps for Lagrangian trajectory data unravel coherent sets
- A critical comparison of Lagrangian methods for coherent structure detection
- Robust FEM-Based Extraction of Finite-Time Coherent Sets Using Scattered, Sparse, and Incomplete Trajectories
- Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach
- Transport in time-dependent dynamical systems: Finite-time coherent sets
- Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion
- Estimating long-term behavior of periodically driven flows without trajectory integration
- TRANSPORT IN DYNAMICAL ASTRONOMY AND MULTIBODY PROBLEMS
- Coherent structure colouring: identification of coherent structures from sparse data using graph theory