In this study, a multi-grid sampling multi-scale (MGSMS) method is proposed by coupling with finite element (FEM), extended (XFEM) and molecular dynamics (MD) methods. Crack studied comprehensively from microscopic initiations to macroscopic propagation MGSMS method. order establish the relationship between model, FEM used transmit displacement boundary conditions atomic model XFEM feedback cra...

Microchannel heat sinks are very widely used due to their high transfer coefficients and low refrigerant requirements. Nevertheless, microchannel still perform sub-optimally when it comes thermal performance. Therefore, this paper investigates the individual combined impacts of different characteristics porous media on performance microchannel. Four porosity values considered: 0.8, 0.85, 0.9, 0...

Thermodynamic models and experimental data exhibit the usual systematic and random errors. The severity of their errors depends on their use, such as for process calculations in a process simulator. Similarly, the value of better thermodynamic models andror data should be measured with reference to such use. We have developed techniques for quantification of such thermodynamic-induced process u...

We address a central problem in modeling, namely that of learning an algebraic model from data obtained from simulations or experiments. We propose a methodology that uses a small number of simulations or experiments to learn models that are as accurate and as simple as possible. The approach begins by building a low-complexity surrogate model. The model is built using a best subset technique t...

Uncertainty can be considered as an attribute of (or reciprocally lack of) information (Zadeh, 2005). Nevertheless, this vital attribute is usually missing from marine invasion science studies (Figure 1), despite the fact that methods such as Monte Carlo simulations, sensitivity analysis, Bayesian uncertainty assessment, and Latin hypercube sampling appear more frequently in the ecological lite...

This paper presents the quantification of uncertain natural frequency for laminated composite plates by using a novel surrogate model. A group method of data handling in conjunction to polynomial neural network (PNN) is employed as surrogate for numerical model and is trained by using Latin hypercube sampling. Subsequently the effect of noise on a PNN based uncertainty quantification algorithm ...

This paper compares different types of simulated draws over a range of number of draws in generating Bayesian efficient designs for stated choice (SC) studies. The paper examines how closely pseudo Monte Carlo, quasi Monte Carlo and Gaussian quadrature methods are able to replicate the true levels of Bayesian efficiency for SC designs of various dimensions. The authors conclude that the predomi...

This paper proposes a novel method to select an experimental design for interpolation in random simulation. (Though the paper focuses on Kriging, this method may also apply to other types of metamodels such as linear regression models.) Assuming that simulation requires much computer time, it is important to select a design with a small number of observations (or simulation runs). The proposed ...