Numerical simulation techniques

Because of the long-range and reduced symmetry of the dipole-dipole interaction, analytical methods such as the thermodynamic perturbation theory presented in Section II.B.l. will be applicable only for weak interaction. Numerical simulation techniques are therefore indispensable for the study of interacting nanoparticle systems, beyond the weak coupling regime. 

Numerical simulation techniques were used to investigate the performance characteristics of alternative fixed-bed reactor designs. The complexity of a model used for simulation depends... 

Composite vehicle structural crashworthiness — A status of design methodology and numerical simulation techniques by C.M. Kindervater, D. Kohlgriiber, and A.F. Johnson, Int. J. Crashworthiness, 4, 213—230, 1999. 

Numerical Simulation Techniques Parameterizing the Simulation Model Initial Numerical Simulation Results Sensitivity Checks Calibrating the Simulation Model Conclusion... 

HOMOGENEOUS SUSPENSION FLOW Governing Equations Numerical Simulation Techniques Solution Algorithm... 

The research of remaining oil distrihution is the basis of well pattern adjustment and potential tapping. Reservoir numerical simulation technique is an important measure of predicting remaining oil distribution (Lv Jie, 2008). In this paper, we use proven Echpse software to simulate the reservoir which has 77 layers. The simulation starts in July 1964, and goes on to December 2010. 

For the ship performance evaluation the statistics, investigations using the physical models and numerical simulation techniques may be applied. The ship performance estimation enables take into... 

Numerical simulation techniques are increasingly powerful tools in all areas of science. They are a third way between the traditional theoretical and experimental approaches because they allow more sophisticated theories to be probed than is possible with analytical methods and because they can be employed to examine processes which are inaccessible to experiment. For the study of phenomena at the atomic level, the application of simulation methods has been particularly helpful owing to the complexity of the equations that determine molecular behaviour. 

Numerical simulation techniques therefore have acted as a bridge between water models and actual processes [ 19,20], The aforementioned liquid flow characteristics in a molten metal bath agitated by gas injection were predicted numerically by using turbulence models, such as the A — e model, developed originally for single-phase flows [19,20], Numerical results thus obtained, however, have not received reliable experimental confirmation even for mercury and Wood s metal flows. 

It is clear from this example that the Laplace transform solution for complex or repeated roots can be quite cumbersome for transforms of ODEs higher than second order. In this case, using numerical simulation techniques may be more efficient to obtain a solution, as discussed in Chapters 5 and 6. 

This error was investigated by the numerical simulation technique. The error increases with increasing RsIRp ratio and with increasing Tafel-slope ratio ( >iarge/ smaii)- However, the error... 

This error was also investigated by the numerical simulation technique. The error increases with increasing Rs/Rp ratio and with increasing Tafel-slope ratio ( >iarge/ smaii) The error also depends slightly on the individual Tafel slope values, but this introduces only an uncertainty of 20% (relative) of the representation given in Fig. 15. This technique, as well as the three-point technique, is more sensitive to the solution resistance than the... 

However, in most cases the handling ofpg 2(0 z) and its integration in Equation 18.20 is analytically intractable and the sophisticated but computationally demanding numerical simulation techniques called Markov chain Monte Carlo must be used to determine Bayesian parameter estimates and their confidence intervals see, for example, Pillonetto et al. (2002) and Magni et al. (2001) for two recent applications. 

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