Fluid Transition Route Acquisition for Flow Pattern Optimization
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Solution Overview
Problem
Conventional methods for optimizing structure design in fluid dynamics are hindered by high calculation times and costs, leading to limited search areas and a risk of deriving locally optimum solutions, with no clear index for determining necessary transition stages in flow patterns, relying heavily on engineer intuition.
Innovation Solution
A fluid transition route acquisition apparatus and method that stores pattern transition information for structurally stable and unstable flow patterns, using word representations and regular expressions to acquire transition routes between stable patterns via unstable intermediate states, enabling efficient optimization and design parameter selection.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If large-scale numerical calculations are performed repeatedly to optimize structure design, then design optimization accuracy is improved, but calculation time and designing costs increase
Solution Approach 1:
The patent pre-calculates and stores pattern transition information for all possible flow pattern transitions in a lookup table before actual design optimization. This preliminary action allows the system to quickly retrieve transition routes during optimization without performing repeated large-scale numerical calculations, thus reducing calculation time while maintaining optimization accuracy.
Solution Approach 2:
The patent creates simplified mathematical models that represent complex flow patterns through topological structures. Instead of repeatedly simulating full fluid dynamics, the system uses these copied topological representations to determine transition routes, significantly reducing computational burden while preserving essential flow behavior characteristics.
2Manufacturing precision
If large-scale numerical calculations are performed repeatedly to optimize structure design, then design optimization accuracy is improved, but designing costs increase
Solution Approach 1:
The patent pre-calculates and stores pattern transition information for all possible flow pattern transitions in a lookup table before actual design optimization. This preliminary action allows the system to quickly retrieve transition routes during optimization without performing repeated large-scale numerical calculations, thus reducing calculation time while maintaining optimization accuracy.
Solution Approach 2:
The patent creates simplified mathematical models that represent complex flow patterns through topological structures. Instead of repeatedly simulating full fluid dynamics, the system uses these copied topological representations to determine transition routes, significantly reducing computational burden while preserving essential flow behavior characteristics.
3Loss of time
If the search area is limited due to calculation restrictions, then calculation time is reduced, but the possibility of deriving locally optimum solutions increases
Solution Approach 1:
The patent pre-calculates and stores pattern transition information for all possible flow pattern transitions in a lookup table before actual design optimization. This preliminary action allows the system to quickly retrieve transition routes during optimization without performing repeated large-scale numerical calculations, thus reducing calculation time while maintaining optimization accuracy.
Solution Approach 2:
The patent introduces pattern transition information as an intermediary between the design parameters and flow simulation results. This intermediary structure organizes flow pattern knowledge in advance, allowing the optimization algorithm to efficiently explore the design space and identify globally optimal solutions without being constrained by repeated expensive simulations.
4Loss of time
If the search area is determined by engineer's experiences and intuition, then calculation time is reduced, but the optimization result depends on subjective judgment
Solution Approach 1:
The patent creates simplified mathematical models that represent complex flow patterns through topological structures. Instead of repeatedly simulating full fluid dynamics, the system uses these copied topological representations to determine transition routes, significantly reducing computational burden while preserving essential flow behavior characteristics.
Solution Approach 2:
The patent introduces pattern transition information as an intermediary between the design parameters and flow simulation results. This intermediary structure organizes flow pattern knowledge in advance, allowing the optimization algorithm to efficiently explore the design space and identify globally optimal solutions without being constrained by repeated expensive simulations.
Data Source
AI summary
A pattern transition information on whether a structurally stable flow pattern in whole or in part of a topological two-dimensional flow structure can transition to another structurally stable flow pattern via a structurally unstable flow pattern in an intermediate state is stored, and according to the pattern transition information, transition information on a transition route from a specified structurally stable flow pattern to another structurally stable flow pattern that can be topologically adopted is acquired.