Format:
1 online resource (347 pages)
Edition:
1st ed.
ISBN:
9783031400940
Series Statement:
Mathematics of Planet Earth Series v.11
Content:
Intro -- Preface -- Contents -- Internal Tides Energy Transfers and Interactions with the Mesoscale Circulation in Two Contrasted Areas of the North Atlantic -- 1 Introduction -- 2 Governing Equations and Energy Budget -- 3 Data and Method -- 3.1 eNATL60 Simulation -- 3.2 Filtering and Computing Methods -- 4 Results -- 4.1 Life Cycle of the Internal Tide -- 4.2 Importance of the Different Contributions in the Energy Transfers -- 4.2.1 Detailed View of Coupling Terms -- 4.2.2 Modal Energy Budget -- 5 Conclusion -- References -- Sparse-Stochastic Model Reduction for 2D Euler Equations -- 1 Introduction -- 2 Sparse-Stochastic Model Reduction -- 3 Numerical Simulations -- 4 Conclusions and Outlook -- References -- Effect of Transport Noise on Kelvin-Helmholtz Instability -- 1 Introduction -- 2 Model Formulation -- 2.1 Point Vortex Method for Inviscid Flows -- 2.2 Point Vortex Method for Viscous Flows -- 3 Point Vortex Method with Environmental Noise -- 3.1 Transport Noise and Deterministic Scaling Limit -- 3.2 A Digression on the Theoretical Selection of the Noise -- 4 Numerical Results -- 4.1 Setting: Kelvin-Helmholtz Instability -- 4.1.1 The Role of Intrinsic Instability -- 4.1.2 The Role of Viscosity and Stability Restoration -- 4.2 Numerical Results on Environmental Noise -- 4.2.1 Selection of Divergence Free Field -- 4.2.2 Positions and Intensities of Fixed Vortices -- 4.2.3 Effect of Small Scale Common Noise -- 4.3 Diagnostics -- 5 Concluding Remarks -- References -- On the 3D Navier-Stokes Equations with Stochastic Lie Transport -- Introduction -- 1 Introduction -- 2 Preliminaries -- 2.1 Elementary Notation -- 2.2 Functional Framework -- 2.3 The SALT Operator -- 3 The Velocity Equation on the Torus -- 3.1 Definitions and Results -- 3.2 Operator Bounds -- 3.3 Proof of Proposition 3.2 -- 3.4 Proofs of Theorems 3.1 and 3.6.
Note:
Description based on publisher supplied metadata and other sources
Additional Edition:
ISBN 9783031400933
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031400933
Language:
English
Keywords:
Electronic books.
URL:
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