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Modeling Shallow Water Flows Using the Discontinuous Galerkin Method (Paperback)
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Modeling Shallow Water Flows Using the Discontinuous Galerkin Method (Paperback)
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Replacing the Traditional Physical Model Approach Computational
models offer promise in improving the modeling of shallow water
flows. As new techniques are considered, the process continues to
change and evolve. Modeling Shallow Water Flows Using the
Discontinuous Galerkin Method examines a technique that focuses on
hyperbolic conservation laws and includes one-dimensional and
two-dimensional shallow water flows and pollutant transports.
Combines the Advantages of Finite Volume and Finite Element Methods
This book explores the discontinuous Galerkin (DG) method, also
known as the discontinuous finite element method, in depth. It
introduces the DG method and its application to shallow water
flows, as well as background information for implementing and
applying this method for natural rivers. It considers dam-break
problems, shock wave problems, and flows in different regimes
(subcritical, supercritical, and transcritical). Readily Adaptable
to the Real World While the DG method has been widely used in the
fields of science and engineering, its use for hydraulics has so
far been limited to simple cases. The book compares numerical
results with laboratory experiments and field data, and includes a
set of tests that can be used for a wide range of applications.
Provides step-by-step implementation details Presents the different
forms in which the shallow water flow equations can be written
Places emphasis on the details and modifications required to apply
the scheme to real-world flow problems This text enables readers to
readily understand and develop an efficient computer simulation
model that can be used to model flow, contaminant transport, and
other aspects in rivers and coastal environments. It is an ideal
resource for practicing environmental engineers and researchers in
the area of computational hydraulics and fluid dynamics, and
graduate students in computational hydraulics.
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