Resistor-Based CFD Model for Turbulent Flow Simulation
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Solution Overview
Problem
Current computational fluid dynamics (CFD) models face challenges in efficiently modeling fluid flow over surfaces, particularly in regions with turbulence, requiring skilled operators to choose appropriate turbulence models and meshing strategies, which can be computationally intensive and often result in divergent solutions.
Innovation Solution
A method is introduced where fluid flow is modeled by representing flow elements as resistors and resistor arrays, with resistance values corresponding to flow characteristics, allowing for the tracking of both linear and rotational positions over time, and adjusting these resistors to reflect changes in flow velocity, thereby optimizing vortexes in the fluid flow.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If conventional CFD models with turbulence modeling are used, then fluid flow can be simulated, but the model requires skilled operators to choose appropriate turbulence models and meshing strategies, increasing device complexity and difficulty of operation
Solution Approach 1:
The patent replaces complex turbulence modeling mechanisms with a resistor-based electrical circuit analogy system. Flow elements are represented as resistors with resistance values corresponding to flow characteristics, and turbulence effects are captured through statistical moment tracking rather than traditional Navier-Stokes turbulence models. This substitution simplifies the mathematical complexity while maintaining simulation accuracy.
Solution Approach 2:
The patent changes the fundamental parameters used to represent fluid flow from traditional velocity and pressure fields to statistical moments (mean, variance, skewness, kurtosis) of flow element positions. This parameter transformation allows turbulence to be captured through distribution statistics rather than requiring complex turbulence models, reducing operational difficulty while maintaining reliability.
2Reliability
If traditional CFD meshing is used to capture turbulence, then flow behavior can be modeled, but computational resources increase significantly
Solution Approach 1:
The patent segments the fluid flow into discrete flow elements represented as resistors in an electrical circuit analogy. Each flow element tracks its position and statistical moments independently, allowing turbulence to be captured through the collective behavior of these segmented elements rather than requiring fine mesh resolution throughout the entire domain. This segmentation reduces computational resources while maintaining turbulence modeling accuracy.
Solution Approach 2:
The patent creates simplified copies of flow elements as electrical resistors with equivalent flow characteristics. Instead of simulating every detail of turbulent flow through fine meshing, the system uses resistor arrays that copy and represent the essential flow behavior through their electrical analog properties. This copying approach captures turbulence effects with reduced computational cost.
3Reliability
If conventional CFD models are used, then fluid flow simulation is possible, but the operation requires considerable experience and skill to choose proper turbulence models and meshing requirements
Solution Approach 1:
The patent creates a universal resistor-based framework that can represent various flow conditions and turbulence regimes through a single consistent mathematical structure. The electrical circuit analogy provides a unified approach that works across different flow scenarios without requiring operators to select from multiple turbulence models or adjust complex meshing parameters. This universality improves ease of operation while maintaining simulation accuracy.
4Measurement precision
If detailed meshing is used to resolve velocity gradients and turbulence, then accurate flow behavior is captured, but the model becomes computationally intensive and may diverge
Solution Approach 1:
The patent performs preliminary tracking of flow element positions and statistical moments before detailed analysis is needed. By continuously updating the statistical distribution of flow elements, the system maintains accurate velocity measurements without requiring intensive computational meshing at each step. This preliminary tracking of positional statistics enables accurate measurement with improved computational efficiency.
Data Source
AI summary
A method of modeling fluid flow in a computational fluid dynamics model space in a way that tracks both linear and rotational position of the modeled flow in the model space by representing flow elements as resistors and resistor arrays having resistance valued relative to the fluid flow.