Flow Analysis Apparatus Using Precomputed Influence Coefficients
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Solution Overview
Problem
Current Computational Fluid Dynamics (CFD) methods for flow analysis require extensive iterations to achieve a steady state, leading to prolonged analysis times and increased development costs due to the inability to perform parallel processing effectively.
Innovation Solution
A flow analysis apparatus and method that generate and utilize a flow analytic model, comprising signal generating and analytic models, to predict input and output signals through equations such as V^(k+T)=HQ[V(k)Y(k)]+D and Y^(k+T)=AP[Y(k)V^(k+T)]+C, derived using optimization algorithms, to simulate multiple iterations of numerical analysis, thereby reducing the time required for flow analysis.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If CFD numerical analysis is performed through multiple iterations to achieve steady state, then analysis accuracy is improved, but analysis time increases significantly
Solution Approach 1:
The patent applies preliminary action by pre-calculating and storing influence coefficients that represent the relationship between boundary conditions and flow fields before actual analysis. These pre-computed coefficients are stored in a database, allowing the system to rapidly determine flow characteristics without performing complete iterative CFD analyses each time, thus reducing analysis time while maintaining accuracy
Solution Approach 2:
The patent creates a simplified computational model that copies the essential physics of the full CFD simulation but with reduced complexity. By representing the complex fluid dynamics through pre-computed influence coefficients and boundary condition relationships, the system generates approximate solutions that replicate the behavior of full iterative analyses without requiring multiple iterations, thereby significantly reducing computation time
2Reliability
If traditional CFD iterative method is used, then comprehensive flow analysis is achieved, but parallel processing cannot be effectively performed
Solution Approach 1:
The patent segments the flow analysis problem into independent components: boundary conditions, influence coefficients, and flow field calculations. Each component can be processed separately and independently, allowing different segments to be computed in parallel across multiple processors. The influence coefficients for different boundary elements can be calculated simultaneously, and multiple test cases can be analyzed concurrently using the pre-computed coefficient database
Solution Approach 2:
The patent creates a universal influence coefficient database that can be used across multiple different analysis scenarios and test cases. Once the influence coefficients are pre-computed, they serve as a reusable resource for analyzing various boundary conditions and geometric configurations, enabling the same computational infrastructure to handle diverse problems efficiently through parallel processing
Data Source
AI summary
A flow analysis apparatus is provided. The flow analysis apparatus includes a model deriver configured to generate a flow analytic model for performing a flow analysis for a plurality of cells by using analytic data including a plurality of input signals used for performing multiple times iterations of numerical analysis by Computational Fluid Dynamics (CFD) and a plurality of output signals corresponding to each of the plurality of input signals, and a flow analyzer configured to perform the flow analysis for the plurality of cells that divide the space around a design target component by using the generated flow analytic model.