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Showing 1 to 10 of 10 for “"moment methods"”.
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Simulation methods for polydisperse, multiphase flows using moment methods
… there is currently a lack of numerical solution methods to solve for these types of flows. In this work, three new numerical procedures are developed in order to accurately solve for systems containing polydisperse multiphase flows, and flows with velocity distributions. The ability to correctly …
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Discontinuous Galerkin solutions of the Boltzmann equation: spectral collocation and moment methods
… the Boltzmann equation. Constructing numerical methods for this equation is a challenge, due in part to the kinetic theory description of moving particles, which relies on space, time, and velocity variables. Two novel approaches are presented and compared. The first uses a spectral collocation …
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First steps in development of a translational non equilibrium model using maximum entropy principle
… Three mathematical tools - domain decomposition, moment methods similar to method of weighted residuals and maximum entropy principle are used for defining the model and developing the underlying governing equations. The underlying modeling goal was to serve as a bridge in terms of computational …
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On improving the low-frequency performance of full-wave modeling techniques
"The method of moments and the finite element method are very powerful methods for solving electromagnetic problems in the frequency domain. However, the direct application of these techniques at low frequencies results in instability and significant errors. This is due to the divergence operation …
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OpenFOAM Implementation of Microbubble Models for Ocean Applications
… and comparisons made between the different methods for both polydisperse and monodisperse multiphase flows. A multigroup method for polydisperse bubbly flows with the bubbles binned in terms of mass was selected from the various alternatives, which included other multigroup models and moment …
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An analog/hybrid computer solution of electromagnetic scattering problems
… scattering problems was made. Analytical methods, moment methods, subsectional methods, probabilistic methods, integral equation methods, and analog/hybrid computer methods were considered in the study to determine the best method to use in a general approach to scattering problems. It was …
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Use of a Multi-Axis Robotic Testing Platform to Investigate the Sagittal Mechanics of the Multi-Body Lumbar Spine
… spine using three different protocols: pure moment, eccentric loading, and a new method called combined loading moment. The objectives of the study were to introduce a new protocol that overcomes the limitations of previous methods by applying more realistic loading conditions and to compare …
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Applications of optimization in probability, finance and revenue management
… and techniques to derive optimal bounds for moment type problems in probability and finance. In the probability framework , we derive optimal inequalities for P(X E S), for a multivariate random variable X that has a given collection of moments, and an arbitrary set S. We provide a complete …
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Understanding and Improving Moment Method Scattering Solutions
<p>The accuracy of moment method solutions to electromagnetic scattering problems has been studied by many researchers. Error bounds for the moment method have been obtained in terms of Sobolev norms of the current solution. Motivated by the historical origins of Sobolev spaces as energy spaces, it …
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Numerische Berechnung elektromagnetischer Felder - Erweiterung einer Hybridmethode aus Momentenmethode und Einheitlicher Geometrischer Beugungstheorie um die Verallgemeinerte Multipoltechnik
Drei numerische Feldberechnungsverfahren - die Momentenmehtode, die Einheitliche Geometrische Beugungstheorie und die Verallgemeinerte Multipoltechnik - werden schrittweise zu einer Erweiterten Hybridmethode (EHM) kombiniert. Dabei wird jeder einzelne Kombinationsschritt anschaulich anhand von …