Mesh Element Size Distribution for Simulation Accuracy
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Solution Overview
Problem
Current methods for determining element size values in mesh representations for simulations, such as those used in computed tomographic measurements, face challenges in balancing simulation accuracy, computing time, and mesh quality, particularly in complex geometries or multi-material objects, where conventional methods may require excessive elements or fail to accurately reproduce small features.
Innovation Solution
A computer-implemented method that determines a spatial distribution of element size values for geometric basic elements by setting local maximum and upper limits based on geometric properties and maximum spatial change, optimizing mesh quality and reducing computing time by limiting element size variations and preventing excessively large or small elements.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a small element size is selected to accurately reproduce geometry and simulate local physical properties, then simulation accuracy is improved, but the number of elements increases and computing time increases
Solution Approach 1:
The patent applies local quality by determining spatially varying element size values based on local geometric properties. The method calculates a local maximum limit for element size at each position depending on surrounding geometric features, and determines a spatial distribution that adapts element sizes to local requirements. This allows small elements in regions requiring high accuracy (such as areas with small curvatures or defects) and larger elements in regions where accuracy requirements are lower, thereby reducing the total number of elements while maintaining simulation accuracy where needed.
2Productivity
If the number of elements is reduced to decrease computing time, then computing efficiency is improved, but the ability to accurately reproduce geometry and simulate local effects deteriorates
Solution Approach 1:
The patent ensures geometry reproduction accuracy is maintained by determining element size values based on local geometric properties such as curvature and distance to features of interest. The spatial distribution algorithm guarantees that elements are sufficiently small in regions where geometric fidelity is critical, while allowing larger elements elsewhere to reduce total element count and improve computing efficiency.
3Measurement precision
If element size varies significantly to adapt to different regions, then local accuracy is improved, but mesh quality deteriorates due to excessive change in element size
Solution Approach 1:
The patent applies preliminary anti-action by determining a maximum spatial change constraint before generating the mesh. This pre-established limit on element size variation prevents excessive changes that would degrade mesh quality. The spatial distribution algorithm respects this constraint while still adapting element sizes to local geometric properties, thereby maintaining both local accuracy and overall mesh quality.
4Device complexity
If element size is uniformly distributed to simplify mesh generation, then mesh generation complexity is reduced, but the ability to capture local physical effects and geometry details deteriorates
Solution Approach 1:
The patent implements local quality through an automated spatial distribution algorithm that determines element size values based on local geometric properties such as curvature, distance to boundaries, and distance to features of interest. This approach captures local physical effects and geometry details automatically without requiring manual intervention or complex user input, thereby maintaining simplicity in mesh generation while achieving locally adaptive element sizing.
Data Source
AI summary
Method for determining a spatial distribution of element size values for geometric basic elements of a network display from a digital display of an object for a simulation of the object, wherein the network display contains interconnected geometric basic elements. The method including: determining a digital display of an object; determining, for at least one position of the digital display, at least one local maximum limit for the element size values that depends on at least one local geometric property in an area surrounding the position: determining, for the digital display, a predefined spatial distribution of an upper limit, independent of the maximum limit, for the element size values and a predefined spatial distribution of a maximum spatial change in the element size values; and determining a spatial distribution of element size values for the digital display based on the maximum limit, and the two predefined spatial distributions.