DIRECT SIMULATION MONTE CARLO: Recent Advances and Applications

Oran, Elaine S.; Oh, Chamteut; Cybyk, Bohdan

doi:10.1146/annurev.fluid.30.1.403

Cited by 381 publications

(166 citation statements)

References 80 publications

Supporting

Mentioning

160

Contrasting

Unclassified

Order By: Relevance

“…On the other hand, the DSMC method [20] has been developed to analyze high Knudsen number flows like rarefied gas flows on the basis of the Boltzmann equation. This method has been applied to microscale gas flows in air-bearing slider problems [16][17][18][19]21]. Both the MGL equation and the DSMC method are herein used to analyze microscale gas flows between two sliding surfaces.…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Mechanism of Levitation of a Slider with a Micro/Nanoscale Surface Structure on a Rotating Disk

et al. 2014

View full text Add to dashboard Cite

It has been previously reported that the friction between a partially polished diamond-coated surface and a metal surface was drastically reduced to zero in the atmosphere as relative speed was increased (Nakamori et al. in Diam Relat Mater 14:2122-2126, 2005. On the other hand, it has also been reported that laser-textured surfaces have good tribological performance in the case of gas lubrication (Kligerman and Etsion in Tribol Trans 44: [472][473][474][475][476][477][478] 2001). The surfaces in the aforementioned two cases have a micro/nanoscale structure. It is expected that both surfaces are levitated by a high-pressure gas film between sliding surfaces by the same mechanism. In the present work, the mechanism of high gas pressure generation is clarified by the performance of numerical simulations and by theoretical analysis. The following two features of pressure distributions on textured surfaces were found to induce high gas pressure. First, gas pressure increases in the direction of the counter surface's motion over the dimple region. Second, the pressure distribution over the flat region is convex upward, and hence, the high pressure obtained at the outlet of the dimple is maintained for a long distance in the flat region. The causes of such pressure distributions are herein explained analytically. The governing factor of pressure distributions and the optimal dimple location in the period of the repeated surface pattern are also discussed. Furthermore, the knowledge obtained here is utilized to design the surface structure to obtain high gas pressure.

show abstract

Section: Methodsmentioning

confidence: 99%

“…For X [ c, dP=dXð\0Þ decreases in the X direction because d 2 P=dX 2 \0, and Eq. (21) indicates that d 2 P=dX 2 also remains negative because dP=dX remains negative. For X\c, dP=dXð\0Þ increases, i.e., jdP=dXj decreases in the ÀX direction because d 2 P=dX 2 \0.…”

Section: Cause Of Feature (2) Of Pressure Distributionsmentioning

confidence: 99%

Mechanism of Levitation of a Slider with a Micro/Nanoscale Surface Structure on a Rotating Disk

et al. 2014

View full text Add to dashboard Cite

show abstract

“…Excellent introductory [3] and detailed [2] descriptions can be found in the literature, as well as comparisons of DSMC simulation results with solutions of the linearized Boltzmann equation [6] for flows in microchannels. Comparisons of DSMC results with experiments for diverse non-equilibrium phenomena spanning the whole Knudsen range can be found in [8], [2].…”

Section: A the Direct Simulation Monte Carlomentioning

confidence: 99%

Statistical error in particle simulations of low Mach number flows

Hadjiconstantinou¹,

Garcia²

2001

Computational Fluid and Solid Mechanics

View full text Add to dashboard Cite

Abstract-We present predictions for the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms. Expressions for the fluid velocity, density and temperature are derived using equilibrium statistical mechanics. The results show that the number of samples needed to adequately resolve the flowfield scales as the inverse square of the Mach number. The theoretical results are verified for a dilute gas using direct Monte Carlo simulations. The agreement between theory and simulation verifies that the use of equilibrium theory is justified.

show abstract

“…It is the most successful method for rarefied gas flow simulations, and has been applied to many fields [2,3]. These include the traditional field of rarefied atmospheric gas dynamics, the emerging field of micro-fluidics, and very-low pressure fields such as space propulsion, material processing, and vacuum systems.…”

Section: Introductionmentioning

confidence: 99%

Improved sampling techniques for the direct simulation Monte Carlo method

2009

View full text Add to dashboard Cite

a b s t r a c tThe direct simulation Monte Carlo (DSMC) method is a widely used approach for flow simulations having rarefied or nonequilibrium effects. It involves heavily to sample instantaneous values from prescribed distributions using random numbers. In this note, we briefly review the sampling techniques typically employed in the DSMC method and present two techniques to speedup related sampling processes. One technique is very efficient for sampling geometric locations of new particles and the other is useful for the Larsen-Borgnakke energy distribution.

show abstract

DIRECT SIMULATION MONTE CARLO: Recent Advances and Applications

Cited by 381 publications

References 80 publications

Mechanism of Levitation of a Slider with a Micro/Nanoscale Surface Structure on a Rotating Disk

Mechanism of Levitation of a Slider with a Micro/Nanoscale Surface Structure on a Rotating Disk

Statistical error in particle simulations of low Mach number flows

Improved sampling techniques for the direct simulation Monte Carlo method

Contact Info

Product

Resources

About