Automatic Grid Generation for Complex Geometries
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Solution Overview
Problem
Existing grid generation techniques are inadequate for handling complex geometries such as airfoils and turbine blades, requiring iterative and time-consuming manual adjustments, which increases process time and impacts design operations.
Innovation Solution
A computer-implemented method for automatically generating a computation mesh using ξ-grid lines and η-grid lines intersecting at mesh points, with parameters like ξ-grid line and η-grid line mesh parameters, outer and inner boundary distance parameters, and a Jacobian scaling parameter to solve mesh equations without additional user input, allowing for robust handling of complex geometries.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If manual iterative methods are used to generate grids for complex geometries, then grid quality can be improved through user adjustments, but process time increases significantly
Solution Approach 1:
The system automatically determines optimal grid parameters and generates computation meshes without requiring manual user input or iterative adjustments. The algorithm self-adjusts to handle complex geometries like airfoils and turbine blades, eliminating the need for user intervention while maintaining grid quality.
Solution Approach 2:
The invention uses automated parameter selection and adjustment mechanisms that dynamically modify grid generation parameters based on the geometry being analyzed. This allows the system to adapt to different complex geometries automatically, achieving high grid quality without manual parameter tuning.
2Productivity
If automated methods are used to generate computation meshes, then user interaction is reduced and process time decreases, but handling of complex geometries becomes more difficult
Solution Approach 1:
The automated system performs all grid generation operations without user input, taking shape information and mesh parameters as input and automatically producing high-quality computation meshes for complex geometries including airfoils and turbine blades.
Solution Approach 2:
The invention creates a universal grid generation system that can handle multiple types of complex geometries (airfoils, turbine blades, and other aerodynamic surfaces) using the same automated algorithm, eliminating the need for geometry-specific manual adjustments.
3Measurement precision
If multiple user inputs are required for grid generation, then grid accuracy can be improved, but device complexity and ease of operation worsen
Solution Approach 1:
The system automatically determines all necessary grid parameters and performs complete mesh generation with minimal user input (only shape definition and basic mesh parameters). The automation handles parameter selection, adjustment, and optimization without requiring multiple user inputs or iterations.
Solution Approach 2:
The invention extracts and automates the complex parameter selection and adjustment processes from manual user operations. The system internally handles all sophisticated parameter tuning that would otherwise require multiple user inputs, separating the automated calculation engine from user interaction.
Data Source
AI summary
A system and method for automatically generating a computation mesh for use with an analytical tool, the computation mesh having a plurality of ξ-grid lines and η-grid lines intersecting at mesh points positioned with respect to an inner boundary and an outer boundary. The system and method includes receiving information corresponding to a shape to be analyzed, ξ-grid line mesh parameter value corresponding to a desired number of ξ-grid lines for the computation mesh, and an η-grid line mesh parameter value corresponding to a desired number of η-grid lines for the computation mesh, and generating the computation mesh from one or more mesh equations without the need for receiving additional information from a user. In one example, the solving of the one or more mesh equations includes an outer boundary distance parameter that is a function of an inner boundary distance parameter and one of a natural log of the η-grid line mesh parameter value and a square root of the η-grid line mesh parameter value.