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The application of direct simulation Monte Carlo methods to complex rarefied gas problems is well established.
There are varieties of techniques, from simple weighted scoring methods to complex mathematical programming, for handling VSP.
Various methodologies, from simple weighted scoring methods to complex mathematical programming models, are introduced to tackle the VSP.
From simple parametric methods to complex feature- and case-based cost estimation techniques, the literature is rich with theoretical information intended to address this problem.
The method has useful applications in orthogonal grid generation in two-dimensional and axi-symmetric domains and in the extension of rapid elliptic solvers and spectral methods to complex geometries.
A critical aspect of applying modern computational solution methods to complex multiphysics systems of relevance to nuclear reactor modeling, is the assessment of the predictive capability of specific proposed mathematical models.
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The paper reports on the applicability of the Smoothed-Particle-Hydrodynamics (SPH) method to complex, full-scale marine-engineering problems.
In addition, the extension of this method to complex samples, such as clinical specimens, will be considered.
Application of this method to complex elliptic equations was considered in [11], but only for properly elliptic equations (linear and non-linear).
The paper presents applications of the method to complex, steady-state and time-dependent problems which highlight its anisotropic, feature-capturing abilities.
We further performed two case studies on obesity and diabetes to demonstrate applications of our method to complex diseases.
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