UID:
kobvindex_HPB1409704950
Format:
1 online resource (347 p.).
ISBN:
9783031400940
,
3031400941
Series Statement:
Mathematics of Planet Earth Series ; v.11
Note:
Description based upon print version of record.
,
Comparison of Stochastic Parametrization Schemes Using Data Assimilation on Triad Models
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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
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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
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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
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3.3 Proof of Proposition 3.2 -- 3.4 Proofs of Theorems 3.1 and 3.6. -- 4 The Vorticity Equation on a Bounded Main -- 4.1 Deriving the Equation -- 4.2 Definitions and Results -- 4.3 Operator Bounds -- 4.4 Proof of Theorem 4.3 -- 5 Appendices -- 5.1 Proofs from Sects.2.3, 3.2, and 4.3 -- 5.2 A Conversion from Stratonovich to Itô -- 5.3 Abstract Solution Criterion I -- 5.4 Abstract Solution Criterion II -- References -- On the Interactions Between Mean Flows and Inertial Gravity Waves in the WKB Approximation -- 1 Introduction -- 2 Deterministic 3D Euler-Boussinesq (EB) Internal Gravity Waves
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2.1 Lagrangian Formulation of the WMFI Equations at Leading Order -- 2.2 Hamiltonian Structure for the WMFI Equations at Leading Order -- 3 Stochastic WMFI -- 4 Conclusion -- Appendix: Asymptotic Expansion -- References -- Toward a Stochastic Parameterization for Oceanic Deep Convection -- 1 Introduction -- 2 Stochastic Formulation of Direct Non-hydrostatic Pressure Correction -- 3 Numerical Implementation and Simulations -- 3.1 Stochastic, Non-hydrostatic Pressure Correction -- 3.2 Numerical Experiments -- 4 Results -- 5 Conclusion and Perspectives -- References
Additional Edition:
Print version: Chapron, Bertrand Stochastic Transport in Upper Ocean Dynamics II Cham : Springer,c2023 ISBN 9783031400933
Language:
English
Keywords:
Electronic books.
URL:
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