8,867 research outputs found
Numerical Investigation on Flow Separation Control of Low Reynolds Number Sinusoidal Aerofoils
The paper presents a computational analysis of the characteristics of a NACA 634-
021 aerofoil incorporated with sinusoidal leading-edge protuberances at Re = 14,000.
The protuberances are characterized by an amplitude and wavelength of 12% and 50%
of the aerofoil chord length respectively. An unsteady Reynolds Average Navier Stokes
(RANS) analysis of the full-span aerofoils was carried out using Transition SST (Shear
Stress Transport) turbulence model across five different angles-of-attack (AOA).
Comparisons with previous experimental results reported good qualitative agreements
in terms of flow separation when the aerofoils are pitched at higher AOAs. Results
presented here comprised of near-wall flow visualizations of the flow separation bubble
at the peaks and troughs of the protuberances. Additionally, results indicate that the
aerofoil with leading-edge protuberances displayed distinctive wall shear streamline and
iso-contour characteristics at different span-wise positions. This implies that even at a
low Reynolds number, implementations of these leading-edge protuberances could have
positive or adverse effects on flow separation
Wideband pulse propagation: single-field and multi-field approaches to Raman interactions
We model the process of ultra broadband light generation in which a pair of
laser pulses separated by the Raman frequency drive a Raman transition. In
contrast to the usual approach using separate field envelopes for the different
frequency components, we treat the field as a single entity. This requires the
inclusion of few-cycle corrections to the pulse propagation. Our single-field
model makes fewer approximations and is mathematically (and hence
computationally) simpler, although it does require greater computational
resources to implement. The single-field theory reduces to the traditional
multi-field one using appropriate approximations.Comment: 6 pages, two 3-part figure
Characterisation of the dynamical quantum state of a zero temperature Bose-Einstein condensate
We describe the quantum state of a Bose-Einstein condensate at zero
temperature. By evaluating the Q-function we show that the ground state of
Bose-Einstein condensate under the Hartree approximation is squeezed. We find
that multimode Schroedinger cat states are generated as the condensate evolves
in a ballistic expansion.Comment: 13 pages, 6 figure
On Approximating the Number of -cliques in Sublinear Time
We study the problem of approximating the number of -cliques in a graph
when given query access to the graph.
We consider the standard query model for general graphs via (1) degree
queries, (2) neighbor queries and (3) pair queries. Let denote the number
of vertices in the graph, the number of edges, and the number of
-cliques. We design an algorithm that outputs a
-approximation (with high probability) for , whose
expected query complexity and running time are
O\left(\frac{n}{C_k^{1/k}}+\frac{m^{k/2}}{C_k}\right)\poly(\log
n,1/\varepsilon,k).
Hence, the complexity of the algorithm is sublinear in the size of the graph
for . Furthermore, we prove a lower bound showing that
the query complexity of our algorithm is essentially optimal (up to the
dependence on , and ).
The previous results in this vein are by Feige (SICOMP 06) and by Goldreich
and Ron (RSA 08) for edge counting () and by Eden et al. (FOCS 2015) for
triangle counting (). Our result matches the complexities of these
results.
The previous result by Eden et al. hinges on a certain amortization technique
that works only for triangle counting, and does not generalize for larger
cliques. We obtain a general algorithm that works for any by
designing a procedure that samples each -clique incident to a given set
of vertices with approximately equal probability. The primary difficulty is in
finding cliques incident to purely high-degree vertices, since random sampling
within neighbors has a low success probability. This is achieved by an
algorithm that samples uniform random high degree vertices and a careful
tradeoff between estimating cliques incident purely to high-degree vertices and
those that include a low-degree vertex
Optical carrier wave shocking: detection and dispersion
Carrier wave shocking is studied using the Pseudo-Spectral Spatial Domain
(PSSD) technique. We describe the shock detection diagnostics necessary for
this numerical study, and verify them against theoretical shocking predictions
for the dispersionless case. These predictions show Carrier Envelope Phase
(CEP) and pulse bandwidth sensitivity in the single-cycle regime. The flexible
dispersion management offered by PSSD enables us to independently control the
linear and nonlinear dispersion. Customized dispersion profiles allow us to
analyze the development of both carrier self-steepening and shocks. The results
exhibit a marked asymmetry between normal and anomalous dispersion, both in the
limits of the shocking regime and in the (near) shocked pulse waveforms.
Combining these insights, we offer some suggestions on how carrier shocking (or
at least extreme self-steepening) might be realised experimentally.Comment: 9 page
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