Curable Composition Film Simulation Grid Optimization
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Solution Overview
Problem
Current simulation methods for film formation of curable compositions are inefficient, requiring excessive time and cost due to the need for trial and error in adjusting droplet arrangement and pressing conditions, and are computationally unrealistic when using small computational elements to model droplet behavior over large regions.
Innovation Solution
A simulation method that defines a computational grid with larger elements, allowing multiple droplets to fall within one element, and uses a model-based approach to predict the behavior of the curable composition, reducing computation time by classifying states and using pre-defined models for pressure distribution and flow calculations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If small computational elements are used to model droplet behavior, then measurement precision is improved, but productivity deteriorates due to extremely long computation time
Solution Approach 1:
The simulation region is divided into a computational grid of multiple computational elements, allowing the system to model droplet behavior across a large area while maintaining reasonable computation time. Each computational element can contain multiple droplets, creating a hierarchical structure that balances detail and efficiency.
Solution Approach 2:
The patent applies a dual modeling approach: using detailed models for individual droplets when necessary, and aggregated models for groups of droplets in computational elements. This partial application of detailed modeling where needed, combined with simplified aggregated modeling elsewhere, achieves acceptable precision without the computational cost of fully detailed simulation throughout.
2Manufacturing precision
If trial and error adjustment of droplet arrangement and pressing conditions is performed, then manufacturing precision is improved, but loss of time increases due to enormous time and cost required
Solution Approach 1:
The simulation system performs preliminary virtual experiments to determine optimal droplet arrangement patterns and pressing conditions before actual film formation. By predicting the behavior of curable composition in advance through computational modeling, the system identifies optimal parameters without requiring extensive physical trial and error, thereby reducing adjustment time while maintaining manufacturing precision.
Solution Approach 2:
The patent creates a virtual copy of the film formation process through computational simulation. This digital twin allows researchers to test and optimize droplet arrangement and pressing conditions in silico, replacing numerous physical trial-and-error experiments. The simulation replicates the physical process behavior, enabling parameter optimization without consuming actual materials or equipment time.
3Measurement precision
If computational elements are defined smaller than droplet dimensions, then measurement precision is improved, but device complexity increases making computation unrealistic
Solution Approach 1:
The computational domain is segmented into a grid of elements that can contain multiple droplets, creating a hierarchical modeling structure. This segmentation allows the system to maintain precision for individual droplet behavior while managing overall computational complexity through the grid structure, avoiding the need for uniformly fine-grained elements across the entire simulation region.
Solution Approach 2:
The patent combines multiple modeling approaches: individual droplet models are merged with computational element models in a hierarchical framework. When droplets are closely spaced or interact significantly, detailed individual modeling is applied; when droplets are well-separated, aggregated computational element modeling suffices. This merging of modeling scales reduces overall system complexity while preserving necessary precision.
Data Source
AI summary
A simulation method of predicting a behavior of a curable composition in a process of bringing a plurality of droplets of the curable composition arranged on a first member and a second member into contact with each other and forming a film of the curable composition on the first member is disclosed. The method includes defining a computational grid formed by a plurality of computational elements so that a plurality of droplets of the curable composition fall within one computational element, and obtaining the behavior of the curable composition in each computational element in accordance with a model corresponding to a state of the curable composition in each computational element.