Cross-Stream Wind Velocity Estimation via Modal Decomposition
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Solution Overview
Problem
Existing methods lack efficiency in accurately determining the cross-stream component of wind velocity near a target location, which is crucial for various applications such as projectile propulsion and tracking gaseous or fine particulate matter.
Innovation Solution
A system that performs modal-decomposition of images to obtain contribution functions, maps subsequent images onto these functions to create reconstructed images, and uses tracer features to estimate the cross-stream wind velocity, incorporating proper-orthogonal decomposition and frame-to-frame correlation for accurate velocity calculation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional wind velocity measurement methods are used, then the measurement process is simple, but the accuracy and reliability of wind velocity estimation is insufficient
Solution Approach 1:
The patent applies modal decomposition to break down the complex wind field into multiple independent contribution functions, each representing different spatial scales and energy levels. This segmentation allows the system to analyze and reconstruct wind patterns from individual modes, improving measurement accuracy while managing computational complexity through hierarchical processing.
Solution Approach 2:
The patent introduces contribution functions as intermediary representations between raw image data and wind velocity estimates. These functions serve as a bridge that transforms complex image sequences into simplified modal components, enabling accurate wind velocity derivation without directly processing the full complexity of raw imagery.
2Measurement precision
If detailed image analysis is performed to improve wind velocity accuracy, then the precision increases, but the processing time increases
Solution Approach 1:
The patent employs low-order reconstruction by selecting only the most significant contribution functions (those with highest energy content) to represent the wind field. This partial action approach captures the dominant wind patterns without processing all possible modal components, achieving sufficient accuracy while significantly reducing computational time and resources.
Solution Approach 2:
The patent transforms the problem from direct pixel-level analysis to modal parameter analysis. By changing the representation parameters from raw image coordinates to modal contribution coefficients, the system achieves efficient wind velocity estimation through parameter-based processing rather than exhaustive image analysis.
3Reliability
If complex modal decomposition is applied to represent wind energy, then the flow energy representation becomes more accurate, but the computational complexity increases
Solution Approach 1:
The patent uses a truncated series of contribution functions, retaining only those modes that contribute significantly to the total wind energy (typically the first few modes). This partial representation captures the essential flow energy characteristics while avoiding the computational burden of analyzing all possible modal components.
Solution Approach 2:
The patent applies different levels of modal decomposition to different regions or aspects of the flow field. By concentrating computational resources on the most energetically significant modes and regions, the system achieves accurate local flow representation without uniformly complex processing across the entire field.
Data Source
AI summary
Systems and methods are provided for determining the cross-stream component of wind velocity near a target location. A modal-decomposition of a first series of images is conducted to obtain a plurality of contribution functions representing the first set of images. A second series of images is mapped to a selected subset of the plurality of contribution functions to create a set of reconstructed images. At least one characteristic of the set of reconstructed images is measured to estimate the cross-stream component of the wind velocity near the target location.