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This monograph presents cutting-edge research on dispersive wave
modelling, and the numerical methods used to simulate the
propagation and generation of long surface water waves. Including
both an overview of existing dispersive models, as well as recent
breakthroughs, the authors maintain an ideal balance between theory
and applications. From modelling tsunami waves to smaller scale
coastal processes, this book will be an indispensable resource for
those looking to be brought up-to-date in this active area of
scientific research. Beginning with an introduction to various
dispersive long wave models on the flat space, the authors
establish a foundation on which readers can confidently approach
more advanced mathematical models and numerical techniques. The
first two chapters of the book cover modelling and numerical
simulation over globally flat spaces, including adaptive moving
grid methods along with the operator splitting approach, which was
historically proposed at the Institute of Computational
Technologies at Novosibirsk. Later chapters build on this to
explore high-end mathematical modelling of the fluid flow over
deformed and rotating spheres using the operator splitting
approach. The appendices that follow further elaborate by providing
valuable insight into long wave models based on the potential flow
assumption, and modified intermediate weakly nonlinear weakly
dispersive equations. Dispersive Shallow Water Waves will be a
valuable resource for researchers studying theoretical or applied
oceanography, nonlinear waves as well as those more broadly
interested in free surface flow dynamics.
This book is the second edition of Numerical methods for diffusion
phenomena in building physics: a practical introduction originally
published by PUCPRESS (2016). It intends to stimulate research in
simulation of diffusion problems in building physics, by providing
an overview of mathematical models and numerical techniques such as
the finite difference and finite-element methods traditionally used
in building simulation tools. Nonconventional methods such as
reduced order models, boundary integral approaches and spectral
methods are presented, which might be considered in the next
generation of building-energy-simulation tools. In this reviewed
edition, an innovative way to simulate energy and hydrothermal
performance are presented, bringing some light on innovative
approaches in the field.
This book proposes tools for analysis of multidimensional and
metric data, by establishing a state-of-the-art of the existing
solutions and developing new ones. It mainly focuses on visual
exploration of these data by a human analyst, relying on a 2D or 3D
scatter plot display obtained through Dimensionality Reduction.
Performing diagnosis of an energy system requires identifying
relations between observed monitoring variables and the associated
internal state of the system. Dimensionality reduction, which
allows to represent visually a multidimensional dataset,
constitutes a promising tool to help domain experts to analyse
these relations. This book reviews existing techniques for visual
data exploration and dimensionality reduction such as tSNE and
Isomap, and proposes new solutions to challenges in that field. In
particular, it presents the new unsupervised technique ASKI and the
supervised methods ClassNeRV and ClassJSE. Moreover, MING, a new
approach for local map quality evaluation is also introduced. These
methods are then applied to the representation of expert-designed
fault indicators for smart-buildings, I-V curves for photovoltaic
systems and acoustic signals for Li-ion batteries.
This book proposes tools for analysis of multidimensional and
metric data, by establishing a state-of-the-art of the existing
solutions and developing new ones. It mainly focuses on visual
exploration of these data by a human analyst, relying on a 2D or 3D
scatter plot display obtained through Dimensionality Reduction.
Performing diagnosis of an energy system requires identifying
relations between observed monitoring variables and the associated
internal state of the system. Dimensionality reduction, which
allows to represent visually a multidimensional dataset,
constitutes a promising tool to help domain experts to analyse
these relations. This book reviews existing techniques for visual
data exploration and dimensionality reduction such as tSNE and
Isomap, and proposes new solutions to challenges in that field. In
particular, it presents the new unsupervised technique ASKI and the
supervised methods ClassNeRV and ClassJSE. Moreover, MING, a new
approach for local map quality evaluation is also introduced. These
methods are then applied to the representation of expert-designed
fault indicators for smart-buildings, I-V curves for photovoltaic
systems and acoustic signals for Li-ion batteries.
This book is the second edition of Numerical methods for diffusion
phenomena in building physics: a practical introduction originally
published by PUCPRESS (2016). It intends to stimulate research in
simulation of diffusion problems in building physics, by providing
an overview of mathematical models and numerical techniques such as
the finite difference and finite-element methods traditionally used
in building simulation tools. Nonconventional methods such as
reduced order models, boundary integral approaches and spectral
methods are presented, which might be considered in the next
generation of building-energy-simulation tools. In this reviewed
edition, an innovative way to simulate energy and hydrothermal
performance are presented, bringing some light on innovative
approaches in the field.
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