Methods and systems for creating a computerized model containing polydisperse spherical particles packed in an arbitrarily-shaped volume

摘要

Systems and methods for creating a computerized model containing polydisperse spherical particles packed in an arbitrarily-shaped volume are disclosed. To create the computerized model, a plurality of polydisperse spherical particles having statistical properties according the characteristic profile (e.g., minimum and maximum sizes and size distribution) is generated. First portion of the particles is used for forming a border layer within the volume's boundary. Any hole in the border layer is sealed with one or more null-sized particles. Second portion of the particles is used for filling up an interior space in a layer-to-layer scheme from the border layer inwards. The layer-to-layer scheme includes searching a best suitable location from a list of size-ranked candidate locations using power diagrams. Each of the second portion of the particles is allowed to pass through holes in the current layer towards the border layer when possible.

主权项

1. A method of creating a computerized model containing polydisperse spherical particles packed in an arbitrarily-shaped volume, said method comprising:
receiving, in a computer system, a definition of an arbitrarily-shaped volume and a characteristic profile of a plurality of polydisperse spherical particles, said definition comprising at least four polygons representing the volume's boundary; creating a computerized model containing the plurality of polydisperse spherical particles having statistical properties defined in the characteristic profile with steps of: forming a border layer within the volume's boundary using a first portion of the plurality of polydisperse spherical particles, said border layer being disposed onto the polygons; sealing one or more holes in said border layer with one or more null-sized particles during said forming the border layer; and filling up an interior space surrounded by said border layer using a second portion of the sequence of polydisperse spherical particles with a layer-by-layer scheme from said border layer inwards, said layer-by-layer scheme comprises searching a best suitable location for each of said second portion of the plurality of polydisperse spherical particles from a list of candidate locations, which are identified using power diagrams and ranked by respective sizes of said candidate locations, wherein said each of the second portion of the plurality of polydisperse spherical particles is allowed to pass through holes in a current layer towards said border layer when possible.