Aerodynamic Coefficient Simulation Using Mixed Linear-Logarithmic Scaling
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Solution Overview
Problem
Current digital simulation methods for aerodynamic flows in aircraft design face challenges in precisely analyzing the convergence of aerodynamic coefficients due to the use of linear scales, which makes it difficult to visualize changes in the plateau region, requiring manual zooms and significant computational workload, and are limited by the inability to zoom in printed plots.
Innovation Solution
A computer method that applies a monotonic function, specifically a mixed linear-logarithmic transformation, to the series of aerodynamic coefficient values, allowing for intrinsic zooming and detailed analysis of convergence zones, eliminating the need for manual magnifications and facilitating precise evaluation of stationary values and convergence degrees.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a linear scale is used to plot aerodynamic coefficient changes, then the overall convergence trend is visible, but the detailed changes in the plateau region cannot be precisely analyzed
Solution Approach 1:
The patent transforms the plotting scale from linear to a combination of linear and logarithmic scales. The y-axis uses a linear scale for the convergence zone (plateau region) and a logarithmic scale for the transition zone, allowing simultaneous visualization of both detailed convergence behavior and overall trend without manual zooming operations
Solution Approach 2:
The patent introduces a dual-scale coordinate system where different regions of the plot use different scaling dimensions. This dimensional change in the plotting approach enables the convergence zone to be displayed with high precision while maintaining context of the entire iteration process
2Measurement precision
If manual zooms are performed to analyze convergence details, then precise convergence analysis is possible, but significant computational workload and manual effort are required
Solution Approach 1:
The plotting system automatically identifies and applies appropriate scaling to different regions of the data. The convergence zone is automatically detected and displayed with enhanced resolution through the dual-scale approach, eliminating the need for manual zooming operations while maintaining high analysis precision
3Stability of the object's composition
If printed plots are used for convergence analysis, then physical records are available, but zooming operations are impossible
Solution Approach 1:
The patent implements a scalable plotting approach where the display can dynamically adjust the scale parameters. The dual-scale system allows the same physical plot to effectively provide different levels of magnification through parameter adjustment rather than requiring multiple physical copies or zoom capabilities
Data Source
AI summary
A computer method of simulating a fluid flow in an aircraft environment to determine at least one aerodynamic coefficient, comprising obtaining a first series of values of the aerodynamic coefficient. The method also includes defining a criterion for convergence of said aerodynamic coefficient, selecting a determined set of terms belonging to said first series, defining a monotonic function configured to make a relatively expanding transformation in said determined set relative to the complement of said set, applying said monotonic function on said first series to form a second series of values of the aerodynamic coefficient, determining said aerodynamic coefficient by plotting a variation curve representative of said second series of values of the aerodynamic coefficient, and displaying said variation curve including an intrinsic zoom of the convergence zone of said aerodynamic coefficient.