...
2-Numerical Approach 13
Advective Dominated Flow
13
The Problem 13
Petrov-Galerkin formulation 14
Shock Capturing 20
Case 1: Analytic Shock Speed
24
Case 2: Dam Break
28 ... Version - http://www.simpopdf.com
Waterways Experiment Station Cataloging-in-Publication Data
Berger, Rutherford
C.
A finite element scheme for shock capturing
/
by R...
... horseshoe-shaped channel and the comparison is
to
actual flume
data. The comparisons are made to the water surface heights and timing of the
shock passage.
The final case is a steady-state comparison ... variation for each element and
flags those elements which have a high variation as needing a larger value of
a
for shock capturing. Note that this would work even in...
...
go
to
smaller grid spacing.
Values of
C,
less than
1
appear
to
lag the analytic shock and
Cs
greater than
1
leads the
analytic shock. With the largest
C,
the calculated shock speed ... arrival is 3. 55 sec which is about
0.1
sec late
(3
percent). At station 6 both flume and numerical model arrival
times for
at
of 1.0 were about 4 .3
sec
and for slation 8...
...
indicates nondimensional quantities and
o
as a subscript
indicates a constant, and
These equations can be diagonalized by defining a new variable
such that
P :A~ P,
=
A,
where
Chapter
3 ... amplitude portrait shows substantial damping for larger
C
and for the
shorter wavelengths (or alternatively the poorer resolution). The large damp-
ing at a wavelength of
2Ax...
... also made to a flume case of steady-state supercritical lateral
1SN
754 0-0 1 -2 8 0-5 500
Standard
Form
298
(Rev.
2-8 9)
Prescr~bed
by
ANSI
Std
23 9-1 8
29 8-1 02
Simpo PDF Merge and Split ... shocks," Journal of Applied Physics 21,
23 2-
237 .
Walters, R. A. , and Carey,
G.
F. (19 83) . "Analysis of spurious oscillation
modes for the...
... expand out each of the three cases:
(1 3a) homorganic-nasal-cluster ~ labial-nasal labial-obstruent
(13b) homorganie-nasal-cluster ~ coronal-nasal coronal-obstruent
(13c) homorganic-nasal-cluster ... assimilation. In my language of matrix operations, I
can say just exactly that:
(16)
(setq homorganic-na~l-cluster-lattice
(M& nasal-cluster-lattice
place-assimilation))
where M&...
... a supercompact cardinal) that the class of uncountable linear
orders has a five element basis. In fact such a basis follows from the Proper
Forcing Axiom, a strong form of the Baire Category Theorem. ... Idaho
E-mail address : justin@math.boisestate.edu
References
[1]
U. Abraham and S. Shelah, Isomorphism types of Aronszajn trees, Israel J. Math. 50
(1985), 75–1 13.
[2]
J. Bagaria,...