Physics-Aware Smart Meshing Without Solve-Adapt Iterations
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Solution Overview
Problem
Existing mesh generation techniques in computer modeling require excessive computational resources and sacrifice either accuracy or efficiency, as they either use uniform cell sizes or rely on adaptive meshing with costly solve/adapt iterations.
Innovation Solution
Physics-aware smart meshing techniques that generate dynamically sized meshes by decomposing models into blocks, estimating physical fields using non-dimensional numbers and machine learning, and superposing these fields to optimize cell sizes based on accuracy needs, reducing the need for iterative refinement.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If uniform cell sizes are used in mesh generation, then device complexity is reduced, but manufacturing precision deteriorates
Solution Approach 1:
The patent applies local quality by varying cell sizes throughout the mesh domain based on local geometric features and physical requirements. The system automatically identifies regions requiring higher resolution (such as areas with high curvature, boundary layers, or regions of interest) and generates finer cells locally while maintaining coarser cells in less critical areas, thus achieving both geometric accuracy and computational efficiency
2Manufacturing precision
If adaptive meshing with iterative refinement is used, then manufacturing precision is improved, but productivity deteriorates
Solution Approach 1:
The patent implements preliminary action by performing a preliminary physics-based estimation of the solution field before actual mesh generation. This preliminary step identifies critical regions and determines appropriate cell sizes in advance, allowing the mesh to be generated directly with optimal resolution without requiring subsequent iterative refinement during the solve process, thereby significantly reducing total computation time
3Manufacturing precision
If finer cells are used in important areas, then manufacturing precision is improved, but use of energy worsens
Solution Approach 1:
The system applies local quality by concentrating computational resources (finer cells) only in regions where they are physically necessary to capture important phenomena, while using coarser cells in regions where the solution is smooth or less critical. This localized refinement approach maintains calculation accuracy in important areas while significantly reducing the total number of cells and associated computational energy requirements compared to uniform fine meshing
Data Source
AI summary
Computer-implemented devices, systems, and methods for physics-aware smart meshing are described. In various embodiments, physical aware smart meshing may include, or refer to, the generation of a dynamically sized mesh for a computer model based on one or more estimated physical fields corresponding to the computer model. The disclosed analysis techniques can include a series of steps including, for example, decomposing models, determining block properties, scaling from an original domain to a scaled domain, estimating physical fields, scaling from the scaled domain to the original domain, superpositioning of physical fields, and generating dynamically sized meshes. In various embodiments, the dynamically sized mesh is generated in an efficient and accurate manner without needing solve/adapt iterations.