### Table 7: Upper kinematic boundary limits. For the jet broadening variables the limits were estimated numerically with a Monte Carlo simulation.

1993

### Table 1 Flow conditions and particle properties used in the Sommerfeld and Qiu (1991) experiments Gas phase (air) Particle phase (glass)

in in

2003

"... In PAGE 9: ... The wall layers on the horizontal walls of the chamber are not critical and the resolution in this region is specified such that the reattachment point is correctly resolved. Table1 provides the flow conditions for the gas and particle phases. The particle loading ratio of 0.... ..."

### Table 5: Numerical results with the rectangular cavity and the Dirichlet boundary con- dition.

2000

"... In PAGE 25: ... With the rectangular cavity, we used only the Dirichlet boundary condition and three di erent wavelengths. The results are collected in Table5 , and they demonstrate that Table 6: Numerical results with the two hemispheres. R h N Ns Nb iter T 2 16 7:0e6 80584 28484 71 246:0 4 16 2:4e7 319424 114900 125 1836:0 8 16 1:2e8 1269864 461380 155 7962:0 16 16 6:4e8 5061944 1848260 233 82752:0... ..."

### TABLE 2 Numerical Simulation Parameters

2003

### Table III. The parameters used in each of the simulations for the rectangular liquid column.

in AN IMPLICIT ALGORITHM FOR CAPTURING SHARP FLUID INTERFACES IN THE VOLUME OF FLUID ADVECTION METHOD

2006

### Table 1: Numerical simulation.

"... In PAGE 13: ...ame. The number of deviations from the revenue-maximizing strategy, i.e. e n and e n1, should be related to the total number of states which is 256. The results of our simulations are reported in Table1 . The average length of the code-string transmitted decreases monotonically as the cost of communication increases.... ..."

### Table 1. Cylinder in Cross-Flow, Mach=0.1, ReD=140,000 TS Time-Averaged Results Method CD -Cpb St

"... In PAGE 6: ... 8. The time-averaged drag coefficient, rear stagnation point pressure coefficient and Strouhal number from the present computation have been compared with those from measurements and other computations in Table1 . Based on the results listed in Table 1 and the comparisons of Fig.... In PAGE 6: ...ylinder has been compared with two experiments of Roshko [30] and van Nunen [31] in Fig. 8. The time-averaged drag coefficient, rear stagnation point pressure coefficient and Strouhal number from the present computation have been compared with those from measurements and other computations in Table 1. Based on the results listed in Table1 and the comparisons of Fig. 8, it has been concluded that the current DES results compare well with experimental data and with other CFD simulations.... ..."

### Table 1. Validation of the simulator

"... In PAGE 13: ... These experimental results showed that the results generated by the simulator are close to the expected results. Table1 shows one such example. We studied a first-come-first-serve algorithm that schedules a set of independent tasks onto a set of heterogeneous compute nodes.... ..."

### Table 4 Relative CFD Crossflow Error

"... In PAGE 7: ... For total pressure, the contours are again seen to be two levels higher than measured. The per- cent error in terms of the contour range is summarized in Table4 . Calculated mass flow is also in good agreement with measured data, see Table 5.... ..."

### Table 4: Simulation Speed and Variance

1999

"... In PAGE 15: ... IV. Substitution Patterns Table4 provides an illustration of the substitution patterns that are implied by each of the models. In particular, the table gives the probabilities from each of the four models under various scenarios compared with a base situation.... In PAGE 16: ...Table4 are not forecasts, the differences in the substitution patterns that arise under the different models will also occur in forecasting since these differences are intrinsic to the model specifications. We first describe the differences between the standard logit and the mixed logit in column 2 of Table 2, called mixed logit A.... In PAGE 16: ... We then describe differences with the pure probit and the mixed logit in column 4, called mixed logit B. In part 1 of Table4 , a mini electric car is introduced to a base situation consisting of five gas cars. The logit model, because of the iia property, implies that the new electric car will draw proportionately from all five of the gas cars.... In PAGE 17: ...relative to existing products, is potentially important in forecasting penetration rates for any new product, but especially for products that are expected to satisfy niche markets. For part 2 of Table4 , a second electric car in introduced, comparable in size to a gas subcompact. The previous scenario (five gas cars and a mini electric car) is taken as the base.... In PAGE 19: ... The log of the simulated probability is not unbiased for the log of the true probability; rather, given the log transformation, it is biased downward for a finite number of replications, with the bias decreasing as the number of replications increases. The figures in Table4 are consistent with these facts. Whether the bias can be considered large depends on the perspective that one takes.... In PAGE 20: ... We performed similar calculations for the pure probit. The results are given in the last column of Table4 . The variance in the average probability and the log-likelihood function is somewhat smaller for the GHK simulator with 50 replications than the mixed logit with the same number of replications.... In PAGE 21: ... Nevertheless, the recursive nature of the GHK simulator (where the range for the random draw for one alternative depends on the value of previous draws for other alternatives) is inherently slow compared to simulators, like the mixed logit simulator, which draw simultaneously from unrestricted ranges. In light of these issues, the results in Table4 are perhaps best interprested as simply an indication that the mixed logit simulator is reasonably accurate compared to the GHK simulator, particularly for given computer time.... ..."

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