1.

Record Nr.

UNINA9910624310703321

Autore

Hernández-Dueñas Gerardo

Titolo

Mathematical and computational models of flows and waves in geophysics / / Gerardo Hernández-Dueñas and Miguel Angel Moreles

Pubbl/distr/stampa

Cham, Switzerland : , : Birkhauser Verlag, , [2022]

©2022

ISBN

3-031-12007-8

Descrizione fisica

1 online resource (201 pages)

Collana

CIMAT Lectures in Mathematical Sciences

Disciplina

550

Soggetti

Geophysics

Geophysics - Data processing

Geofísica

Processament de dades

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Intro -- Preface -- Contents -- Geostrophic Turbulence and the Formation of Large Scale Structure -- 1 Introduction -- 2 Asymptotic Reduction of the Primitive Equations -- 2.1 Properties of the NHBGE -- 3 Spontaneous Formation of Large Scale Vortices -- 4 Validation -- 5 Finite Rossby Number -- 6 Cylindrical Domain: Robust Boundary Flow -- 7 Discussion -- References -- Ocean Surface Waves and Ocean-Atmosphere Interactions -- 1 Introduction -- 2 Recent Developments on Air-Sea Exchange of Momentum and Gases -- 2.1 On the Transfer of Momentum Between the Ocean and Atmosphere -- 2.2 On the Transfer of Mass and Carbon Dioxide Between Air and Water -- 3 Air-Sea Exchange of Carbon Dioxide and the Relevance of Ocean Surface Waves Within the Context of Climate Prediction -- 4 Remote Sensing Ocean Measurements and Their Relation to Upper Ocean Processes Direct Observations -- 5 Final Remarks -- References -- A 3D Two-Phase Conservative Level-Set Method Using an Unstructured Finite-Volume Formulation -- 1 Introduction -- 2 Conservative Level-Set Method -- 3 Numerical Method for the Level-Set Equation -- 3.1 Time Integration: θ-Method -- 3.2 Space Discretization: Finite-Volume



Method -- 3.3 Interpolation: Upwind Scheme -- 3.4 Boundary Conditions -- 3.5 Linear System and Solver -- 4 Numerical Method for the Reinitialization Equation -- 5 Parallelization -- 6 Accuracy -- 6.1 2D Pure Convective Test -- 6.2 3D Pure Convective Test -- 6.3 Reinitialization Test -- 7 Two-Dimensional Numerical Results -- 7.1 Solid-Body Rotation -- 7.2 Zalesak's Disk -- 7.3 Single Vortex Deformation of a Circle -- 8 Three-Dimensional Numerical Results -- 8.1 Kawano 3D Solid-Body Translation -- 8.2 Zalesak's Sphere -- Vortex Deformation of a Sphere -- 9 Performance -- 10 Conclusions -- References -- The Physics of Granular Natural Flows in Volcanic Environments -- 1 Introduction.

2 Pyroclastic Density Currents -- 3 Lahar -- 4 Numerical Simulations and Experiments -- 4.1 Numerical Simulations -- 4.2 Experiments -- 5 Monitoring -- 6 Numerical Model for Hazard Assessment -- 7 Discussion and Conclusions -- References -- Cooperative Gravity and Full Waveform Inversion: Elastic Case -- 1 Introduction -- 2 Forward Modeling of Geophysical Data -- 2.1 Gravimetric Forward Modeling -- 2.2 Gravimetric Forward Modeling -- 2.3 Waveform Forward Modeling -- 3 Inverse Theory for Geophysical Data -- 3.1 Gravimetric Inversion -- 3.2 Acoustic Full Waveform Inversion -- 3.3 Gradient Based Optimization -- 3.4 Elastic Full Waveform Inversion -- 3.5 Cooperative Inversion -- 4 Results -- 4.1 EFWI: Marmousi Model -- 4.2 EFWI: Texas-Shaped Model -- 4.3 Cooperative Inversion: Marmousi Model -- 4.4 Cooperative Inversion: Texas-Shaped Model -- 5 Conclusions -- References -- Modelling the 3D Electromagnetic Wave Equation: Negative Apparent Conductivities and Phase Changes -- 1 Introduction -- 2 Modeling Scheme -- 3 Apparent Conductivities at LIN -- 4 Code Validation -- 5 Applications -- 5.1 Sinkhole Model -- 5.2 Two Nearby Sinkholes -- 5.3 Layered Conductivity Model with a Wellbore -- 5.4 Vertical-Contact Model -- 6 Discussion -- 7 Conclusions -- Appendix 1 -- Appendix 2 -- References.