Modeling soot oxidation with the Extended Quadrature Method of Moments

Radiation transport modeling using extended quadrature method of moments

The radiative transfer equation describes the propagation of radiation through a material medium. While it provides a highly accurate description of the radiation field, the large phase space on which the equation is defined makes it numerically challenging. As a consequence, significant effort has gone into the development of accurate approximation methods. Recently, an extended quadrature met...

Aerosol dynamics using the quadrature method of moments: Comparing several quadrature schemes with particle-resolved simulation

The method of moments (MOM) is a statistically based alternative to sectional and modal methods for aerosol simulation. The MOM is highly efficient as the aerosol distribution is represented by its lower-order moments and only these, not the full distribution itself, are tracked during simulation. Quadrature is introduced to close the moment equations under very general growth laws and to compu...

Description of Aerosol Dynamics by the Quadrature Method of Moments

The method of moments (MOM) may be used to determine the evolution of the lower-order moments of an unknown aerosol distribution. Previous applications of the method have been limited by the requirement that the equations governing the evolution of the lower-order moments be in closed form. Here a new approach, the quadrature method of moments (QMOM), is described. The dynarnical equations for ...

Enhanced Direct Quadrature Based Method of Moments for Nonlinear Filtering

The optimal estimation of a general continuous-discrete system can be achieved through the solution of the Fokker-Planck equation and the Bayesian update. However, solving the Fokker-Planck equation numerically is prohibitive in most cases. Recently a nonlinear filtering algorithm using a direct quadrature method of moments was proposed by the authors, in which the associated Fokker-Planck equa...

A quadrature-based method of moments for nonlinear filtering