Fluid Flow Analysis in Cavities with Varying Thickness
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Solution Overview
Problem
In flow analysis of fluids in cavities with non-uniform thickness, existing methods require a large number of infinitesimal elements to maintain analysis precision, leading to increased calculation burden.
Innovation Solution
An information processing device that divides the cavity into infinitesimal elements and adjusts the conservation law equations based on thickness distribution, allowing for a two-dimensional analysis model to be applied even in regions with varying thickness, reducing the number of elements needed.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the cavity is divided into relatively fine infinitesimal elements to ensure analysis precision in regions with non-uniform thickness, then the analysis precision is improved, but the calculation burden increases
Solution Approach 1:
The patent applies local quality by using a two-dimensional analysis model specifically for thin-walled parts with uniform thickness, while potentially using three-dimensional models only where necessary. This localized application of simplified modeling to specific regions (thin-walled parts) maintains analysis precision where needed while reducing overall calculation burden.
Solution Approach 2:
The patent transitions from three-dimensional flow analysis to two-dimensional analysis for thin-walled parts by assuming uniform flow properties across the thickness direction. This dimensionality reduction is achieved by integrating the three-dimensional Navier-Stokes equations across the thickness, effectively moving the problem from 3D to 2D space and significantly reducing the number of infinitesimal elements required.
2Device complexity
If a two-dimensional analysis model is used to reduce calculation load, then the calculation burden is reduced, but the applicability to regions with non-uniform thickness is limited
Solution Approach 1:
The patent changes key parameters of the analysis model by introducing thickness distribution functions and modifying the Navier-Stokes equations to incorporate variable thickness. This allows the two-dimensional model to adapt to regions with non-uniform thickness by using mathematical transformations that account for thickness variations, thereby expanding the model's applicability beyond strictly uniform thickness cases.
Data Source
AI summary
To further reduce calculation load in flow analysis of a fluid in a cavity. Provided is an information processing device including: a division unit configured to divide a cavity in which a fluid flows into a plurality of infinitesimal elements; an adjustment unit configured to adjust an equation expressing a conservation law of a physical quantity related to the fluid, on a basis of distribution of a thickness of the cavity; and an analysis unit configured to calculate flow velocity for each of the infinitesimal elements by using the equation adjusted by the adjustment unit.