Practical polysize multiphase PDF models

The aims of the Fellowship are twofold, (a) to develop, using statistical physics as a basis, a consistent probabi density function (PDF) methodology for predicting polysized particle transport due to turbulence and local mean flow (b) to develop computational 'engineering' models to exploit such knowledge. To succeed it will be necessary to co well defined experiments to obtain large datasets and obtain various conditionally sampled correlations of discrete I size and discrete and continuum velocities, to validate a range of closure approximations and boundary condition assumptions. With the accuracy and appropriateness of the closure models of various levels established it will be possible to establish a grading of closure approximations where accuracy scales with computational effort expende intended that a fundamental and an engineering methodology will be developed, the 'engineering' approach will enable end users to make use of low order closures during the lifetime of the fellowship. The more fundamental methodolc provide the framework of how end users in the future and researchers within the lifetime of the fellowship will be ab exploit the freedom of the approach and add additional degrees of freedom/higher level closures as additional com power becomes more commonplace.