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The Smoothed Particle Hydrodynamics (SPH) method is proposed for studying hydrodynamic processes related to nuclear engineering problems. A problem of possible recriticality due to the sloshing motions of the molten reactor core is studied with SPH method. The accuracy of the numerical solution obtained in this study with the SPH method is significantly higher than that obtained with the SIMMER-III/IV reactor safety analysis code.

CFD --- Sloshing --- Recriticality --- SPH --- Free Surface Flows

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The Smoothed Particle Hydrodynamics (SPH) method is proposed for studying hydrodynamic processes related to nuclear engineering problems. A problem of possible recriticality due to the sloshing motions of the molten reactor core is studied with SPH method. The accuracy of the numerical solution obtained in this study with the SPH method is significantly higher than that obtained with the SIMMER-III/IV reactor safety analysis code.

CFD --- Sloshing --- Recriticality --- SPH --- Free Surface Flows

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Capillary electrophoresis. --- Open-channel flow. --- Flow, Free-surface --- Flow, Open-channel --- Free-surface flow --- Fluid dynamics --- Capillary gel electrophoresis --- Capillary zone electrophoresis --- Gel electrophoresis --- Zone electrophoresis

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Solving complex simulations while ensuring high accuracy is a challenge, as seen in simulations that involve free-surfaces and large displacements. One way to better solve them is via the Particle Finite Element Method (PFEM). The Particle Finite Element Method (PFEM) is a numerical method that discretizes the body into a set of points. This set of points is used to create a Finite Element mesh that moves in time following the cloud of points. PFEM then combines a Lagrangian description with the classical Finite Element Method. The strength of PFEM is that it solves problems that involve large displacements and severe topological changes. However, current PFEM implementations do not guarantee mass conservation. Therefore, it is necessary to find an approach that improves it. This work focuses on implementing numerical techniques related to the mesh to improve the conservation of mass in PFEM.

In this study, the aforementioned techniques to improve mass conservation are implemented for the in-house PFEM Matlab code of the LTAS-MN2L group at the University of Liege. A study of the proposed methodologies is also presented, including: (1) a sloshing problem, (2) three different dam breaks. It is concluded that the Adjustment of the fluid’s height method that addresses both terms of mass variation yields the greatest improvement in mass conservation. Cruchaga’s approach is physically more coherent, as it corrects the free surface nodes’ positions based on the velocity of each node.

PFEM --- free-surface flows --- mass conservation --- CFD --- sloshing --- dam break --- Ingénierie, informatique & technologie > Ingénierie aérospatiale

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This book presents the theory and computation of open channel flows, using detailed analytical, numerical and experimental results. The fundamental equations of open channel flows are derived by means of a rigorous vertical integration of the RANS equations for turbulent flow. In turn, the hydrostatic pressure hypothesis, which forms the core of many shallow water hydraulic models, is scrutinized by analyzing its underlying assumptions. The book’s main focus is on one-dimensional models, including detailed treatments of unsteady and steady flows. The use of modern shock capturing finite difference and finite volume methods is described in detail, and the quality of solutions is carefully assessed on the basis of analytical and experimental results. The book’s unique features include: • Rigorous derivation of the hydrostatic-based shallow water hydraulic models • Detailed treatment of steady open channel flows, including the computation of transcritical flow profiles • General analysis of gate maneuvers as the solution of a Riemann problem • Presents modern shock capturing finite volume methods for the computation of unsteady free surface flows • Introduces readers to movable bed and sediment transport in shallow water models • Includes numerical solutions of shallow water hydraulic models for non-hydrostatic steady and unsteady free surface flows This book is suitable for both undergraduate and graduate level students, given that the theory and numerical methods are progressively introduced starting with the basics. As supporting material, a collection of source codes written in Visual Basic and inserted as macros in Microsoft Excel® is available. The theory is implemented step-by-step in the codes, and the resulting programs are used throughout the book to produce the respective solutions.

Mathematical physics. --- Geotechnical engineering. --- Engineering geology. --- Engineering—Geology. --- Foundations. --- Hydraulics. --- Computer simulation. --- Mathematical Applications in the Physical Sciences. --- Geotechnical Engineering & Applied Earth Sciences. --- Geoengineering, Foundations, Hydraulics. --- Simulation and Modeling. --- Engineering --- Civil engineering --- Geology, Economic --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Flow of water --- Water --- Fluid mechanics --- Hydraulic engineering --- Jets --- Architecture --- Building --- Structural engineering --- Underground construction --- Caissons --- Earthwork --- Masonry --- Soil consolidation --- Soil mechanics --- Walls --- Engineering, Geotechnical --- Geotechnics --- Geotechnology --- Engineering geology --- Physical mathematics --- Physics --- Geology --- Flow --- Distribution --- Details --- Mathematics --- Open-channel flow. --- Flow, Free-surface --- Flow, Open-channel --- Free-surface flow --- Fluid dynamics