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Complex fluids
This book presents a comprehensive overview of the modeling of complex fluids, including many common substances, such as toothpaste, hair gel, mayonnaise, liquid foam, cement and blood, which cannot be described by Navier-Stokes equations. It also offers an up-to-date mathematical and numerical analysis of the corresponding equations, as well as several practical numerical algorithms and software solutions for the approximation of the solutions. It discusses industrial (molten plastics, forming process), geophysical (mud flows, volcanic lava, glaciers and snow avalanches), and biological (blood flows, tissues) modeling applications. This book is a valuable resource for undergraduate students and researchers in applied mathematics, mechanical engineering and physics.
Challenges and Innovations in Geomechanics
This book gathers the latest advances, innovations, and applications in the field of computational geomechanics, as presented by international researchers and engineers at the 16th International Conference of the International Association for Computer Methods and Advances in Geomechanics (IACMAG 2020/21). Contributions include a wide range of topics in geomechanics such as: monitoring and remote sensing, multiphase modelling, reliability and risk analysis, surface structures, deep structures, dams and earth structures, coastal engineering, mining engineering, earthquake and dynamics, soil-atmosphere interaction, ice mechanics, landfills and waste disposal, gas and petroleum engineering, geothermal energy, offshore technology, energy geostructures, geomechanical numerical models and computational rail geotechnics.
Lectures on Visco-Plastic Fluid Mechanics
The book is designed for advanced graduate students as well as postdoctoral researchers across several disciplines (e.g., mathematics, physics and engineering), as it provides them with tools and techniques that are essential in performing research on the flow problems of visco-plastic fluids. The following topics are treated: analysis of classical visco-plastic fluid models mathematical modeling of flows of visco-plastic fluids computing flows of visco-plastic fluids rheology of visco-plastic fluids and visco-plastic suspensions application of visco-plastic fluids in engineering sciences complex flows of visco-plastic fluids.
Detecting, Modelling and Responding to Effusive Eruptions
For effusive volcanoes in resource-poor regions, there is a pressing need for a crisis response-chain bridging the global scientific community to allow provision of standard products for timely humanitarian response. As a first step in attaining this need, this Special Publication provides a complete directory of current operational capabilities for monitoring effusive eruptions. This volume also reviews the state-of-the-art in terms of satellite-based volcano hot-spot tracking and lava-flow simulation. These capabilities are demonstrated using case studies taken from well-known effusive events that have occurred worldwide over the last two decades at volcanoes such as Piton de la Fournaise, Etna, Stromboli and Kilauea. We also provide case-type response models implemented at the same volcanoes, as well as the results of a community-wide drill used to test a fully-integrated response focused on an operational hazard-GIS. Finally, the objectives and recommendations of the ‘Risk Evaluation, Detection and Simulation during Effusive Eruption Disasters’ working group are laid out in a statement of community needs by its members.
ESAIM.
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Continuum Modeling from Thermodynamics
This book presents a novel comprehensive thermodynamic framework, suitable for the design of new macroscopic models, as well as the combination of existing models. Our goal is to popularize thermodynamics for model designers. The example series of models includes very classic solid and fluid models, such as Newtonian, viscoplastic and viscoelastic materials, but also new heat effects and original combinations of existing models. The aim of the new proposed framework is to allow a clear and easy development of constitutive equations that automatically satisfy the second principle. Instead of writing directly constitutive relations, model designers are encouraged to first specify the energy. This book is primarily intended for graduate students and researchers in applied mathematics, engineering sciences, computational mechanics and physics. The reader is assumed to be familiar with classical mechanics, together with matrix and tensors algebra.
Mathematical Reviews
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