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Costal Inlets Research Program
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> AN UNSTRUCTURED GRID MORPHODYNAMIC MODEL WITH A DISCONTINOUS GALERKIN METHOD FOR BED EVOLUTION
AN UNSTRUCTURED GRID MORPHODYNAMIC MODEL WITH A DISCONTINUOUS GALERKIN METHOD FOR BED EVOLUTION
INTRODUCTION - Kubatko_Ocean_Modelling0003
Kubatko_Ocean_Modelling
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ABSTRACT
A
new
unstructured
grid
two-dimensional,
depth-integrated
(2DDI),
morphodynamic
model
is
presented
for
the
prediction
of
morphological
evolutions
in
shallow
water.
This
modelling
system
consists
of
two
coupled
model
components: i
.
) a
well
verified
and
validated
continuous
Galerkin
(CG)
finite
element
hydrodynamic
model;
and
ii.)
a
new
sediment
transport/bed
evolution
model
that
uses
a
discontinuous
Galerkin
(DG)
method
for
the
solution
of
the sediment
continuity
equation.
The
DG
method
is a robust
finite
element method
that
is
particularly
well
suited
for
this
type
of
advection
dominated
transport
equation.
It incorporates
upwinded
numerical
fluxes
and slope
limiters
to
provide
sharp
resolution
of
steep
bathymetric
gradients
that
may
form
in the
solution,
and it
possesses
a
local
conservation
property
that
conserves
sediment
mass
on an
elemental
level.
In
this
paper, we focus
specifically
on the
implementation
and
verification
of the DG
model.
Details
are
given
on the
implementation
of
the
method,
and
numerical
results
are
presented
for
three
idealized
test
cases
which
demonstrate
the
accuracy
and
robustness
of the method and
its
applicability
in
predicting
medium-term
morphological
changes
in
channels
and
coastal
inlets.
i
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