609 research outputs found
Importance Sampling Variance Reduction for the Fokker-Planck Rarefied Gas Particle Method
Models and methods that are able to accurately and efficiently predict the
flows of low-speed rarefied gases are in high demand, due to the increasing
ability to manufacture devices at micro and nano scales. One such model and
method is a Fokker-Planck approximation to the Boltzmann equation, which can be
solved numerically by a stochastic particle method. The stochastic nature of
this method leads to noisy estimates of the thermodynamic quantities one wishes
to sample when the signal is small in comparison to the thermal velocity of the
gas. Recently, Gorji et al have proposed a method which is able to greatly
reduce the variance of the estimators, by creating a correlated stochastic
process which acts as a control variate for the noisy estimates. However, there
are potential difficulties involved when the geometry of the problem is
complex, as the method requires the density to be solved for independently.
Importance sampling is a variance reduction technique that has already been
shown to successfully reduce the noise in direct simulation Monte Carlo
calculations. In this paper we propose an importance sampling method for the
Fokker-Planck stochastic particle scheme. The method requires minimal change to
the original algorithm, and dramatically reduces the variance of the estimates.
We test the importance sampling scheme on a homogeneous relaxation, planar
Couette flow and a lid-driven-cavity flow, and find that our method is able to
greatly reduce the noise of estimated quantities. Significantly, we find that
as the characteristic speed of the flow decreases, the variance of the noisy
estimators becomes independent of the characteristic speed
Particle kinetic simulation of high altitude hypervelocity flight
In this grant period, the focus has been on the effects of thermo-chemical nonequilibrium in low-density gases, and on interactions between such gases and solid surfaces. Such conditions apply to hypersonic flows of re-entry vehicles, and to the expansion plumes of small rockets. Due to the nonequilibrium nature of these flows, a particle approach has been adopted. The method continues to undergo refinement and application to typical flows of interest. A number of studies have been performed for flows in thermo-chemical nonequilibrium. The effects of vibrational nonequilibrium on the rate of dissociation were studied for diatomic nitrogen. It was found that a new model reproduced the nonequilibrium behavior observed experimentally
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The hybrid grid implemented DSMC method used in 2D triangular micro cavity flows
This paper was presented at the 3rd Micro and Nano Flows Conference (MNF2011), which was held at the Makedonia Palace Hotel, Thessaloniki in Greece. The conference was organised by Brunel University and supported by the Italian Union of Thermofluiddynamics, Aristotle University of Thessaloniki, University of Thessaly, IPEM, the Process Intensification Network, the Institution of Mechanical Engineers, the Heat Transfer Society, HEXAG - the Heat Exchange Action Group, and the Energy Institute.In this study a new hybrid grid is implemented in a 2D DSMC solver to be used in 2D triangular micro cavity flows. Currently DSMC is the prominent method to analyze micro scale gas flows which are rarefied. Because of the computational cost, DSMC solvers are generally used in rarefied gas conditions in which continuum based solvers are useless. If the efficiency of DSMC solvers is improved, the application range of these solvers can be increased further where the continuum based solvers dominate. Indexing the particles according to their cells is one of the main steps in the DSMC method. Either the particles are traced cell-by-cell along their trajectories or coordinate transformation techniques are used in this step. The first option requires complex trigonometric operations and search algorithms which are computationally expensive. But it can be used in both structured and unstructured grids. Although the second option is computationally more efficient, it demands specially tailored structured grids which are more geometry dependent compared to the unstructured grids. Here it is shown that a novel hybrid grid structure can be used successfully in 2D DSMC solver to analyze triangular shaped lid-driven micro cavity flows. Hybrid grids used in this study are much less dependent of the geometry like unstructured grids. Additionally, hybrid grids like structured grids facilitate coordinate transformation techniques in order to increase the efficiency of the particle indexing step in the DSMC method
Aerothermodynamic Analysis of a Reentry Brazilian Satellite
This work deals with a computational investigation on the small ballistic
reentry Brazilian vehicle SARA (acronyms for SAt\'elite de Reentrada
Atmosf\'erica). Hypersonic flows over the vehicle SARA at zero-degree angle of
attack in a chemical equilibrium and thermal non-equilibrium are modeled by the
Direct Simulation Monte Carlo (DSMC) method, which has become the main
technique for studying complex multidimensional rarefied flows, and that
properly accounts for the non-equilibrium aspects of the flows. The emphasis of
this paper is to examine the behavior of the primary properties during the high
altitude portion of SARA reentry. In this way, velocity, density, pressure and
temperature field are investigated for altitudes of 100, 95, 90, 85 and 80 km.
In addition, comparisons based on geometry are made between axisymmetric and
planar two-dimensional configurations. Some significant differences between
these configurations were noted on the flowfield structure in the reentry
trajectory. The analysis showed that the flow disturbances have different
influence on velocity, density, pressure and temperature along the stagnation
streamline ahead of the capsule nose. It was found that the stagnation region
is a thermally stressed zone. It was also found that the stagnation region is a
zone of strong compression, high wall pressure. Wall pressure distributions are
compared with those of available experimental data and good agreement is found
along the spherical nose for the altitude range investigated.Comment: The paper will be published in Vol. 42 of the Brazilian Journal of
Physic
DSMC investigation of rarefied gas flow through diverging micro- and nanochannels
Direct simulation Monte Carlo (DSMC) method with simplified Bernoulli-trials
(SBT) collision scheme has been used to study the rarefied pressure-driven
nitrogen flow through diverging microchannels. The fluid behaviours flowing
between two plates with different divergence angles ranging between 0
to 17 are described at different pressure ratios
(1.52.5) and Knudsen numbers (0.03Kn12.7). The
primary flow field properties, including pressure, velocity, and temperature,
are presented for divergent microchannels and are compared with those of a
microchannel with a uniform cross-section. The variations of the flow field
properties in divergent microchannels, which are influenced by the area change,
the channel pressure ratio and the rarefication are discussed. The results show
no flow separation in divergent microchannels for all the range of simulation
parameters studied in the present work. It has been found that a divergent
channel can carry higher amounts of mass in comparison with an equivalent
straight channel geometry. A correlation between the mass flow rate through
microchannels, the divergence angle, the pressure ratio, and the Knudsen number
has been suggested. The present numerical findings prove the occurrence of
Knudsen minimum phenomenon in micro- and Nano- channels with non-uniform
cross-sections.Comment: Accepted manuscript; 25 Pages and 11 Figures; "Microfluidics and
Nanofluidics
A Multiscale Particle Approach for Continuum/Rarefied Flow Simulation
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/77289/1/AIAA-2008-1184-250.pd
Employing per-component time step in DSMC simulations of disparate mass and cross-section gas mixtures
A new approach to simulation of stationary flows by Direct Simulation Monte
Carlo method is proposed. The idea is to specify an individual time step for
each component of a gas mixture. The approach consists of modifications mainly
to collision phase and recommendation on choosing time step ratios. It allows
softening the demands on the computational resources for cases of disparate
collision diameters of molecules and/or disparate molecular masses. These are
the cases important in vacuum deposition technologies. Few tests of the new
approach are made. Finally, the usage of new approach is demonstrated on a
problem of silver nanocluster diffusion in carrier gas argon in conditions of
silver deposition experiments.Comment: The goal of submission is to find native English speaker willing to
help me polish the paper. This is paper draft sent to Communications in
Computational Physics. It is recommended to publication. The need of
polishing was one of editors decision. See Additional data for MS Word source
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