201,736 research outputs found
Reaction Mechanism Reduction for Ozone-Enhanced CH4/Air Combustion by a Combination of Directed Relation Graph with Error Propagation, Sensitivity Analysis and Quasi-Steady State Assumption
In this study, an 18-steps, 22-species reduced global mechanism for ozone-enhanced CH4/air combustion processes was derived by coupling GRI-Mech 3.0 and a sub-mechanism for ozone decomposition. Three methods, namely, direct relation graphics with error propagation, (DRGRP), sensitivity analysis (SA), and quasi-steady-state assumption (QSSA), were used to downsize the detailed mechanism to the global mechanism. The verification of the accuracy of the skeletal mechanism in predicting the laminar flame speeds and distribution of the critical components showed that that the major species and the laminar flame speeds are well predicted by the skeletal mechanism. However, the pollutant NO was predicated inaccurately due to the precursors for generating NO were removed as redundant components. The laminar flame speeds calculated by the global mechanism fit the experimental data well. The comparisons of simulated results between the detailed mechanism and global mechanism were investigated and showed that the global mechanism could accurately predict the major and intermediate species and significantly reduced the time cost by 72%Peer reviewe
Simulations of Incompressible MHD Turbulence
We simulate incompressible MHD turbulence in the presence of a strong
background magnetic field. Our major conclusions are: 1) MHD turbulence is most
conveniently described in terms of counter propagating shear Alfven and slow
waves. Shear Alfven waves control the cascade dynamics. Slow waves play a
passive role and adopt the spectrum set by the shear Alfven waves, as does a
passive scalar. 2) MHD turbulence is anisotropic with energy cascading more
rapidly along k_perp than along k_parallel, where k_perp and k_parallel refer
to wavevector components perpendicular and parallel to the local magnetic
field. Anisotropy increases with increasing k_perp. 3) MHD turbulence is
generically strong in the sense that the waves which comprise it suffer order
unity distortions on timescales comparable to their periods. Nevertheless,
turbulent fluctuations are small deep inside the inertial range compared to the
background field. 4) Decaying MHD turbulence is unstable to an increase of the
imbalance between the flux of waves propagating in opposite directions along
the magnetic field. 5) Items 1-4 lend support to the model of strong MHD
turbulence by Goldreich & Sridhar (GS). Results from our simulations are also
consistent with the GS prediction gamma=2/3. The sole notable discrepancy is
that 1D power law spectra, E(k_perp) ~ k_perp^{-alpha}, determined from our
simulations exhibit alpha ~ 3/2, whereas the GS model predicts alpha = 5/3.Comment: 56 pages, 30 figures, submitted to ApJ 59 pages, 31 figures, accepted
to Ap
A semi-explicit multi-step method for solving incompressible navier-stokes equations
The fractional step method is a technique that results in a computationally-efficient implementation of Navier–Stokes solvers. In the finite element-based models, it is often applied in conjunction with implicit time integration schemes. On the other hand, in the framework of finite difference and finite volume methods, the fractional step method had been successfully applied to obtain predictor-corrector semi-explicit methods. In the present work, we derive a scheme based on using the fractional step technique in conjunction with explicit multi-step time integration within the framework of Galerkin-type stabilized finite element methods. We show that under certain assumptions, a Runge–Kutta scheme equipped with the fractional step leads to an efficient semi-explicit method, where the pressure Poisson equation is solved only once per time step. Thus, the computational cost of the implicit step of the scheme is minimized. The numerical example solved validates the resulting scheme and provides the insights regarding its accuracy and computational efficiency.Peer ReviewedPostprint (published version
Universally Rigid Framework Attachments
A framework is a graph and a map from its vertices to R^d. A framework is
called universally rigid if there is no other framework with the same graph and
edge lengths in R^d' for any d'. A framework attachment is a framework
constructed by joining two frameworks on a subset of vertices. We consider an
attachment of two universally rigid frameworks that are in general position in
R^d. We show that the number of vertices in the overlap between the two
frameworks must be sufficiently large in order for the attachment to remain
universally rigid. Furthermore, it is shown that universal rigidity of such
frameworks is preserved even after removing certain edges. Given positive
semidefinite stress matrices for each of the two initial frameworks, we
analytically derive the PSD stress matrices for the combined and edge-reduced
frameworks. One of the benefits of the results is that they provide a general
method for generating new universally rigid frameworks.Comment: 16 pages, 4 figure
Instabilities of the Hubbard chain in a magnetic field
We find and characterize the instabilities of the repulsive Hubbard chain in
a magnetic field by studing all response functions at low frequency \omega and
arbitrary momentum. The instabilities occur at momenta which are simple
combinations of the (U=0) \sigma =\uparrow ,\downarrow Fermi points, \pm
k_{F\sigma}. For finite values of the on-site repulsion U the instabilities
occur for single \sigma electron adding or removing at momenta \pm k_{F\sigma},
for transverse spin-density wave (SDW) at momenta \pm 2k_F (where
2k_F=k_{F\uparrow}+k_{F\downarrow}), and for charge-density wave (CDW) and SDW
at momenta \pm 2k_{F\uparrow} and \pm 2k_{F\downarrow}. While at zero magnetic
field removing or adding single electrons is dominant, the presence of that
field brings about a dominance for the transverse \pm 2k_F SDW over all the
remaining instabilities for a large domain of and density n values. We go
beyond conformal-field theory and study divergences which occur at finite
frequency in the one-electron Green function at half filling and in the
transverse-spin response function in the fully-polarized ferromagnetic phase.Comment: LaTeX file, 15 pages plus 9 figures. Accepted for publication in
Phys. Rev. B. The figures can be obtained upon request from Pedro Sacramento
at [email protected]
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