Adaptive Particle Simulation for Fluid Analysis Resolution
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Solution Overview
Problem
In fluid analysis using the particle method, maintaining high accuracy while reducing calculation complexity is challenging due to varying length scales of fluid motion, requiring adjustments in particle diameter and number, which leads to inefficient spatial resolution.
Innovation Solution
A simulation method that evaluates and adjusts spatial resolution dynamically by assessing the excess or deficiency of spatial resolution for each calculation particle, adjusting particle diameter and number accordingly to maintain appropriate resolution across the analysis space.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the number of particles is increased to maintain high spatial resolution, then measurement precision is improved, but device complexity increases
Solution Approach 1:
The patent applies dynamics by making the particle system adaptive through dynamic adjustment of particle diameter and number based on local flow field conditions. The spatial resolution is not fixed but evolves during simulation according to the evaluated excess or deficiency, allowing the system to maintain high measurement precision where needed while reducing complexity in less critical regions.
Solution Approach 2:
The patent implements local quality by evaluating spatial resolution requirements locally for each particle based on its position in the flow field. Different regions of the fluid are represented by particles of different sizes and densities, with higher resolution allocated to regions requiring greater accuracy and lower resolution to regions where it is sufficient, thereby optimizing the balance between measurement precision and calculation complexity.
2Measurement precision
If particle diameter is reduced to improve spatial resolution, then measurement precision is improved, but productivity decreases
Solution Approach 1:
The system dynamically adjusts particle diameter based on local flow conditions rather than using a uniform small diameter throughout. This allows the simulation to maintain high spatial resolution (small particles) only where the flow field requires it, while using larger particles in regions where high resolution is not necessary, thereby improving overall analysis efficiency without sacrificing measurement precision where needed.
Solution Approach 2:
The patent changes the parameter of particle diameter adaptively during the simulation process. By evaluating the excess or deficiency of spatial resolution and adjusting particle diameter accordingly, the system optimizes the balance between measurement precision and productivity, avoiding the computational overhead of uniformly small particles while maintaining necessary resolution.
3Measurement precision
If the number of particles is increased to maintain spatial resolution, then measurement precision is improved, but loss of time increases
Solution Approach 1:
The patent implements dynamic adjustment of particle number and distribution based on local flow field evaluation. Rather than maintaining a high number of particles throughout the entire domain, the system adapts the particle distribution to match the actual resolution requirements of different regions, reducing the total number of particles needed and thereby decreasing calculation time while preserving measurement precision in critical areas.
Solution Approach 2:
By applying local quality assessment, the patent determines the appropriate particle density in each region of the flow field. High particle density is applied only where spatial resolution is deficient and needed for accurate measurement, while low particle density is used in regions where sufficient resolution is already achieved, optimizing the trade-off between measurement precision and calculation time.
Data Source
AI summary
A simulation method of represents a fluid as a plurality of calculation particles, adds a physical quantity to each of the plurality of calculation particles, disposes the plurality of calculation particles in an analysis space, and develops the physical quantity added to each of the plurality of calculation particles and positions of the plurality of calculation particles over time by solving a governing equation. The simulation method includes evaluating an excess or deficiency of spatial resolution depending on sizes of the plurality of calculation particles, for each of the plurality of calculation particles, according to a state of a flow field represented by the plurality of calculation particles; and adjusting the spatial resolution, according to a result of the evaluation of the excess or deficiency of the spatial resolution.