Word Representation for Flow Pattern Topology Optimization
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Solution Overview
Problem
Conventional methods for optimizing structure design in flow fields face challenges due to increased calculation time and costs, leading to restricted search areas and reliance on engineer intuition, which may result in locally optimum solutions.
Innovation Solution
A method for word representation of flow patterns in multiply connected exterior domains, involving pattern and operation word assignment, allowing for topological manipulation of flow patterns without relying on intuition, using specific types of flow patterns and operations to form word representations corresponding to multiply connected domains.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If large-scale numerical calculations are performed repeatedly for fluid simulations, then optimization of structure design can be achieved, but calculation time and designing costs increase significantly
Solution Approach 1:
The patent creates a topological model (copy) of the flow pattern that captures the essential topological features without requiring full numerical simulation. This model can be generated quickly and used for preliminary optimization, reducing the need for repeated large-scale calculations while maintaining optimization reliability.
Solution Approach 2:
The patent segments the flow pattern analysis into two parts: topological analysis (which can be done quickly to identify pattern type) and detailed numerical simulation (performed only when needed). This segmentation allows for rapid evaluation of multiple design options without always requiring computationally expensive full simulations.
2Reliability
If large-scale numerical calculations are performed repeatedly for fluid simulations, then optimization of structure design can be achieved, but designing costs increase significantly
Solution Approach 1:
The topological model serves as a simplified copy that can be generated at low computational cost. By using this model for optimization screening, the patent reduces the number of expensive numerical simulations needed, thereby lowering designing costs while maintaining optimization quality.
3Productivity
If the search area is restricted due to calculation time constraints, then optimization process becomes faster, but the possibility of finding local optimum increases
Solution Approach 1:
The topological model provides a comprehensive representation of flow patterns that can be analyzed quickly. By using this model to guide the search process, the patent can explore a broader design space faster than traditional methods, reducing the risk of settling for local optima while maintaining high productivity.
4Ease of operation
If engineer's experiences and intuition are used to select search area, then optimization process can proceed, but the result depends on subjective judgment
Solution Approach 1:
The topological model provides an objective, mathematically-defined representation of flow patterns that replaces subjective engineer judgment. The model categorizes flow patterns based on topological features, providing a systematic and reproducible method for selecting search areas without relying on individual engineer intuition.
Data Source
AI summary
The present invention assigns, in order to form a word representation for a flow pattern in a multiply connected exterior domain having N holes topologically, any one of words that define two types of flow patterns that can be topologically applied to a simply connected exterior domain having a hole, and repeatedly assigns, to the assigned word, any one of words that define five types of operations that can be topologically applied to add a hole to the flow pattern, so that a word representation corresponding to the multiply connected exterior domain having N holes is formed.