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This open access proceedings volume brings selected, peer-reviewed contributions presented at the Stochastic Transport in Upper Ocean Dynamics (STUOD) 2021 Workshop, held virtually and in person at the Imperial College London, UK, September 20–23, 2021. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer Science and Automatic Control (INRIA) and the French Research Institute for Exploitation of the Sea (IFREMER). The project aims to deliver new capabilities for assessing variability and uncertainty in upper ocean dynamics. It will provide decision makers a means of quantifying the effects of local patterns of sea level rise, heat uptake, carbon storage and change of oxygen content and pH in the ocean. Its multimodal monitoring will enhance the scientific understanding of marine debris transport, tracking of oil spills and accumulation of plastic in the sea. All topics of these proceedings are essential to the scientific foundations of oceanography which has a vital role in climate science. Studies convened in this volume focus on a range of fundamental areas, including: Observations at a high resolution of upper ocean properties such as temperature, salinity, topography, wind, waves and velocity; Large scale numerical simulations; Data-based stochastic equations for upper ocean dynamics that quantify simulation error; Stochastic data assimilation to reduce uncertainty. These fundamental subjects in modern science and technology are urgently required in order to meet the challenges of climate change faced today by human society. This proceedings volume represents a lasting legacy of crucial scientific expertise to help meet this ongoing challenge, for the benefit of academics and professionals in pure and applied mathematics, computational science, data analysis, data assimilation and oceanography.

Applied mathematics --- Probability & statistics --- Calculus & mathematical analysis --- Cybernetics & systems theory --- mathematics of planet earth --- STUOD --- ocean modelling --- ocean observations --- stochastic partial differential equations --- dynamical systems --- data analysis --- data assimilation --- deep learning --- particle filters --- geometric mechanics --- Navier-Stokes equation --- stochastic transport --- stochastic parameterization --- stochastic variational principles --- nonlinear water waves --- free surface fluid dynamics --- Stochastic Advection by Lie Transport --- Stochastic Forcing by Lie Transport --- Oceanografia

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Fluid mechanics has emerged as a basic concept for nearly every field of technology. Despite a well-developed mathematical theory and available commercial software codes, the computation of solutions of the governing equations of motion is still challenging, especially due to the nonlinearity involved, and there are still open questions regarding the underlying physics of fluid flow, especially with respect to the continuum hypothesis and thermodynamic local equilibrium. The aim of this book is to reference recent advances in the field of fluid mechanics, both in terms of developing sophisticated mathematical methods for finding solutions to the equations of motion, on the one hand, and presenting novel approaches to the physical modeling, on the other hand. A wide range of topics is addressed, including general topics like formulations of the equations of motion in terms of conventional and potential fields; variational formulations, both deterministic and statistic, and their application to channel flows; vortex dynamics; flows through porous media; and also acoustic waves through porous media

image processing --- streaky structures --- hairpin vortex --- attached-eddy vortex --- streamwise vortex --- wetting shock fronts --- shear flow --- viscosity --- capillarity --- kinematic waves --- log-law --- flow partitioning theory --- characteristic point location --- velocity --- discharge --- groundwater inrush --- the Luotuoshan coalmine --- damage mechanism --- karst collapse column --- poroacoustics --- Rubin–Rosenau–Gottlieb theory --- solitary waves and kinks --- Navier–Stokes equation --- stochastic Lagrangian flows --- stochastic variational principles --- stochastic geometric mechanics --- potential fields --- Clebsch variables --- Airy’s stress function --- Goursat functions --- Galilean invariance --- variational principles --- boundary conditions --- film flows --- analytical and numerical methods --- variational calculus --- deterministic and stochastic approaches --- incompressible and compressible flow --- continuum hypothesis --- advanced mathematical methods

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Fluid mechanics has emerged as a basic concept for nearly every field of technology. Despite a well-developed mathematical theory and available commercial software codes, the computation of solutions of the governing equations of motion is still challenging, especially due to the nonlinearity involved, and there are still open questions regarding the underlying physics of fluid flow, especially with respect to the continuum hypothesis and thermodynamic local equilibrium. The aim of this book is to reference recent advances in the field of fluid mechanics, both in terms of developing sophisticated mathematical methods for finding solutions to the equations of motion, on the one hand, and presenting novel approaches to the physical modeling, on the other hand. A wide range of topics is addressed, including general topics like formulations of the equations of motion in terms of conventional and potential fields; variational formulations, both deterministic and statistic, and their application to channel flows; vortex dynamics; flows through porous media; and also acoustic waves through porous media

History of engineering & technology --- image processing --- streaky structures --- hairpin vortex --- attached-eddy vortex --- streamwise vortex --- wetting shock fronts --- shear flow --- viscosity --- capillarity --- kinematic waves --- log-law --- flow partitioning theory --- characteristic point location --- velocity --- discharge --- groundwater inrush --- the Luotuoshan coalmine --- damage mechanism --- karst collapse column --- poroacoustics --- Rubin–Rosenau–Gottlieb theory --- solitary waves and kinks --- Navier–Stokes equation --- stochastic Lagrangian flows --- stochastic variational principles --- stochastic geometric mechanics --- potential fields --- Clebsch variables --- Airy’s stress function --- Goursat functions --- Galilean invariance --- variational principles --- boundary conditions --- film flows --- analytical and numerical methods --- variational calculus --- deterministic and stochastic approaches --- incompressible and compressible flow --- continuum hypothesis --- advanced mathematical methods --- image processing --- streaky structures --- hairpin vortex --- attached-eddy vortex --- streamwise vortex --- wetting shock fronts --- shear flow --- viscosity --- capillarity --- kinematic waves --- log-law --- flow partitioning theory --- characteristic point location --- velocity --- discharge --- groundwater inrush --- the Luotuoshan coalmine --- damage mechanism --- karst collapse column --- poroacoustics --- Rubin–Rosenau–Gottlieb theory --- solitary waves and kinks --- Navier–Stokes equation --- stochastic Lagrangian flows --- stochastic variational principles --- stochastic geometric mechanics --- potential fields --- Clebsch variables --- Airy’s stress function --- Goursat functions --- Galilean invariance --- variational principles --- boundary conditions --- film flows --- analytical and numerical methods --- variational calculus --- deterministic and stochastic approaches --- incompressible and compressible flow --- continuum hypothesis --- advanced mathematical methods

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This book collects the accepted contributions to the Special Issue "The Numerical Simulation of Fluid Flow" in the Energies journal of MDPI. It is focused more on practical applications of numerical codes than in its development. It covers a wide variety of topics, from aeroacoustics to aerodynamics and flow-particles interaction.

Information technology industries --- cave formation --- P-waves --- S-waves --- Stoneley wave --- scattered wave --- bluff body --- roughness model --- Venturi effect --- suppression hybrid control --- Lagrangian description --- Formula 1 --- Computational Fluid Dynamics (CFD) --- external aerodynamics --- OpenFoam --- snappyHexMesh --- incompressible flow --- Federation Internationale de l’Automobile (FIA) --- downforce --- drag --- vortex --- wake --- bluff body aerodynamics --- boundary layer separation --- vortex shedding --- Lagrangian vortex method --- vertical axis wind turbine (VAWT) --- two-dimensional wake simulation --- finite vortex method --- vortex particle method --- three-dimensional effect correction model of the wake --- local radial point interpolation cumulant LBM --- aeroacoustics --- dispersion --- dissipation --- wind turbine --- immersed boundary method --- quasi multi-moment method --- incompressible Navier–Stokes equation --- dispersion-relation-preserving --- flow–structure interaction --- cave formation --- P-waves --- S-waves --- Stoneley wave --- scattered wave --- bluff body --- roughness model --- Venturi effect --- suppression hybrid control --- Lagrangian description --- Formula 1 --- Computational Fluid Dynamics (CFD) --- external aerodynamics --- OpenFoam --- snappyHexMesh --- incompressible flow --- Federation Internationale de l’Automobile (FIA) --- downforce --- drag --- vortex --- wake --- bluff body aerodynamics --- boundary layer separation --- vortex shedding --- Lagrangian vortex method --- vertical axis wind turbine (VAWT) --- two-dimensional wake simulation --- finite vortex method --- vortex particle method --- three-dimensional effect correction model of the wake --- local radial point interpolation cumulant LBM --- aeroacoustics --- dispersion --- dissipation --- wind turbine --- immersed boundary method --- quasi multi-moment method --- incompressible Navier–Stokes equation --- dispersion-relation-preserving --- flow–structure interaction

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Modeling micrometric and nanometric suspensions remains a major issue. They help to model the mechanical, thermal, and electrical properties, among others, of the suspensions, and then of the resulting product, in a controlled way, when considered in material formation. In some cases, they can help to improve the energy transport performance. The optimal use of these products is based on an accurate prediction of the flow-induced properties of the suspensions and, consequently, of the resulting products and parts. The final properties of the resulting micro-structured fluid or solid are radically different from the simple mixing rule. In this book, we found numerous works addressing the description of these specific fluid behaviors.

Technology: general issues --- History of engineering & technology --- Materials science --- graphene nano-powder --- thermal nanofluid --- rheological behavior --- Carreau nanofluid --- lubrication effect --- Vallejo law --- liquid–liquid interface --- shear rate --- nanoparticles --- diffuse interface --- phase field method --- molecular dynamics --- numerical simulation --- octree optimization --- microstructure generation --- domain reconstruction --- flow simulation --- permeability computing --- data-driven model --- model order reduction --- proper orthogonal decomposition --- manifold learning --- diffuse approximation --- microcapsule suspension --- Hausdorff distance --- topological data analysis (TDA) --- reinforced polymers --- concentrated suspensions --- flow induced orientation --- discrete numerical simulation --- steam generator --- void fraction --- mixture model --- porous media approach --- reduced-order model --- Proper Orthogonal Decomposition (POD) --- energy dissipation --- interval-pooled stepped spillway --- omega identification method --- Navier-Stokes equation --- singularity --- transitional flow --- turbulence --- Poisson equation --- nanoparticle two-phase flow --- particle coagulation and breakage --- flow around circular cylinders --- particle distribution --- n/a --- liquid-liquid interface