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Coupling a local adaptive grid refinement technique with an interface sharpening scheme for the simulation of two-phase flow and free-surface flows using VOF methodology
This study presents the implementation of an interface sharpening scheme on the basis of the Volume of Fluid (VOF) method, as well as its application in a number of theoretical and real cases usually modelled in literature. More specifically, the solution of an additional sharpening equation along with the standard VOF model equations is proposed, offering the advantage of “restraining” interface numerical diffusion, while also keeping a quite smooth induced velocity field around the interface. This sharpening equation is solved right after volume fraction advection; however a novel method for its coupling with the momentum equation has been applied in order to save computational time. The advantages of the proposed sharpening scheme lie on the facts that a) it is mass conservative thus its application does not have a negative impact on one of the most important benefits of VOF method and b) it can be used in coarser grids as now the suppression of the numerical diffusion is grid independent. The coupling of the solved equation with an adaptive local grid refinement technique is used for further decrease of computational time, while keeping high levels of accuracy at the area of maximum interest (interface). The numerical algorithm is initially tested against two theoretical benchmark cases for interface tracking methodologies followed by its validation for the case of a free-falling water droplet accelerated by gravity, as well as the normal liquid droplet impingement onto a flat substrate. Results indicate that the coupling of the interface sharpening equation with the HRIC discretization scheme used for volume fraction flux term, not only decreases the interface numerical diffusion, but also allows the induced velocity field to be less perturbed owed to spurious velocities across the liquid–gas interface. With the use of the proposed algorithmic flow path, coarser grids can replace finer ones at the slight expense of accuracy
Measurement and Interpretation of Fermion-Pair Production at LEP energies above the Z Resonance
This paper presents DELPHI measurements and interpretations of
cross-sections, forward-backward asymmetries, and angular distributions, for
the e+e- -> ffbar process for centre-of-mass energies above the Z resonance,
from sqrt(s) ~ 130 - 207 GeV at the LEP collider. The measurements are
consistent with the predictions of the Standard Model and are used to study a
variety of models including the S-Matrix ansatz for e+e- -> ffbar scattering
and several models which include physics beyond the Standard Model: the
exchange of Z' bosons, contact interactions between fermions, the exchange of
gravitons in large extra dimensions and the exchange of sneutrino in R-parity
violating supersymmetry.Comment: 79 pages, 16 figures, Accepted by Eur. Phys. J.
A Determination of the Centre-of-Mass Energy at LEP2 using Radiative 2-fermion Events
Using e+e- -> mu+mu-(gamma) and e+e- -> qqbar(gamma) events radiative to the
Z pole, DELPHI has determined the centre-of-mass energy, sqrt{s}, using energy
and momentum constraint methods. The results are expressed as deviations from
the nominal LEP centre-of-mass energy, measured using other techniques. The
results are found to be compatible with the LEP Energy Working Group estimates
for a combination of the 1997 to 2000 data sets.Comment: 20 pages, 6 figures, Accepted by Eur. Phys. J.
A Measurement of the Tau Hadronic Branching Ratios
The exclusive and semi-exclusive branching ratios of the tau lepton hadronic
decay modes (h- v_t, h- pi0 v_t, h- pi0 pi0 v_t, h- \geq 2pi0 v_t, h- \geq 3pi0
v_t, 2h- h+ v_t, 2h- h+ pi0 v_t, 2h- h+ \geq 2pi0 v_t, 3h- 2h+ v_t and 3h- 2h+
\geq 1pi0 v_t) were measured with data from the DELPHI detector at LEP.Comment: 53 pages, 18 figures, Accepted by Eur. Phys. J.
Search for supersymmetric particles in scenarios with a gravitino LSP and stau NLSP
Sleptons, neutralinos and charginos were searched for in the context of
scenarios where the lightest supersymmetric particle is the gravitino. It was
assumed that the stau is the next-to-lightest supersymmetric particle. Data
collected with the DELPHI detector at a centre-of-mass energy near 189 GeV were
analysed combining the methods developed in previous searches at lower
energies. No evidence for the production of these supersymmetric particles was
found. Hence, limits were derived at 95% confidence level.Comment: 31 pages, 14 figure
Study of double-tagged gamma gamma events at LEPII
Double-tagged interactions of photons with virtualities Q^2 between 10 GeV^2
and 200 GeV^2 are studied with the data collected by DELPHI at LEPII from 1998
to 2000, corresponding to an integrated luminosity of 550 pb^{-1}. The gam*
gam* -> mu+mu- data agree with QED predictions. The cross-section of the
reaction gam* gam* -> hadrons is measured and compared to the LO and NLO BFKL
calculations.Comment: 17 pages, 9 figures, Accepted by Eur. Phys. J.
Measurement of Trilinear Gauge Couplings in Collisions at 161 GeV and 172 GeV
Trilinear gauge boson couplings are measured using data taken by DELPHI at 161~GeV and 172~GeV. Values for couplings () are determined from a study of the reactions \eeWW\ and \eeWev, using differential distributions from the final state in which one decays hadronically and the other leptonically, and total cross-section data from other channels. Limits are also derived on neutral couplings from an analysis of the reaction \eegi
Study of B0_s anti-B0_s oscillations and B0_s lifetimes using hadronic decays of B0_s mesons
Oscillations of B0s mesons have been studied in samples selected from about
3.5 million hadronic Z decays detected by DELPHI between 1992 and 1995. One
analysis uses events in the exclusive decay channels: B0s -> Ds- pi+ or Ds- a1+
and B0s -> anti-D0 K- pi+ or anti-D0 K- a1+, where the D decays are completely
reconstructed. In addition, B0s anti-B0s oscillations have been studied in
events with an exclusively reconstructed Ds accompanied in the same hemisphere
by a high momentum hadron of opposite charge. Combining the two analyses, a
limit on the mass difference between the physical B0s states has been obtained:
Delta(m_B0s) > 4.0 ps^{-1} at the 95% C.L. with a sensitivity of Delta(m_B0s)
= 3.2 ps^{-1}. Using the latter sample of events, the B0s lifetime has been
measured and an upper limit on the decay width difference between the two
physical B0s states has been obtained:
tau(B0s) = 1.53^{+0.16}_{-0.15}(stat.) +/- {0.07}(syst.) ps
\Delta\Gamma(B0s)/\Gamma(B0s) < 0.69 at the 95% C.L.
The combination of these results with those obtained using Ds+- lepton-+
sample gives:
Delta(m_B0s) > 4.9 ps^{-1} at the 95% C.L.
with a sensitivity of Delta(m_B0s) = 8.7 ps^{-1}.
tau(B0s) = 1.46 +/- 0.11 ps and \Delta\Gamma(B0s)/\Gamma(B0s) < 0.45 at the
95% C.L.Comment: 42 pages, 13 figure
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