3D CAD Fluid Flow Simulation With Conformal Body Force
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Solution Overview
Problem
Simulating incompressible fluid flows using compressible fluid solvers with artificially increased Mach numbers introduces artificial compressibility effects, leading to decreased accuracy and increased computational complexity.
Innovation Solution
A conformal body force is applied to decouple pressure and density terms by performing a preparatory simulation to determine a conformal body force based on the pressure gradient, which is then used in a main simulation to drive the fluid flow, reducing artificial compressibility effects.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If the Mach number is artificially increased to reduce computational cost and time, then the simulation speed and resource efficiency improve, but artificial compressibility effects are introduced that decrease simulation accuracy
Solution Approach 1:
A preparatory simulation is performed first to determine the pressure gradient field. Based on this pressure gradient, a conformal body force is calculated and then applied in the main simulation. This preliminary action allows the main simulation to use higher Mach numbers while maintaining accuracy by compensating for artificial compressibility effects through the pre-computed body force.
Solution Approach 2:
The invention changes the Mach number parameter from its physically accurate low value to an artificially elevated value for computational efficiency. To compensate for the resulting accuracy degradation, a conformal body force parameter is introduced and adjusted based on the pressure gradient from preparatory simulations, allowing the system to maintain accuracy while benefiting from faster computation.
2Use of energy by stationary object
If the Mach number is artificially increased to reduce the number of time steps, then computational resources needed decrease, but compressibility effects are introduced that degrade simulation quality
Solution Approach 1:
The pressure gradient field is computed in advance through a preparatory simulation before the main simulation begins. This preliminary computation of the conformal body force allows the main simulation to proceed with higher Mach numbers and fewer time steps while still achieving accurate results, thus reducing overall computational resources while maintaining quality.
Solution Approach 2:
The conformal body force acts as an intermediary mechanism that mediates between the artificially elevated Mach number and the physical accuracy requirements. By introducing this intermediate force field based on pressure gradients, the system can use computationally efficient high Mach numbers while the body force compensates for the introduced errors, maintaining simulation quality.
3Measurement precision
If a conformal body force is applied to decouple pressure and density terms, then simulation accuracy improves by reducing artificial compressibility, but additional computational steps are required
Solution Approach 1:
The conformal body force is determined in a preparatory simulation before the main simulation. By computing the pressure gradient and deriving the body force in advance, the main simulation can focus on fluid flow dynamics without needing to simultaneously solve for pressure and density coupling, thus improving accuracy while managing computational complexity through temporal separation of tasks.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach improves the accuracy of incompressible fluid flow simulations by reducing computational complexity and resources needed, enabling faster and more accurate simulations with fewer computations.
Implementation Method 1
The conformal body force can be determined based on the pressure gradient from the preparatory simulation
Data Source
AI summary
Systems and methods for digitally simulating a fluid flow in a three-dimensional computer-aided design (CAD) model of a simulation space include receiving a digital representation of a simulation space based on a digital three-dimensional CAD model. The digital representation includes a plurality of voxels. A first fluid flow is digitally simulated by applying a driving force to the plurality of voxels in the digital representation of the simulation space to generate a pressure field. A volumetric body force is determined to apply to the plurality of voxels based on a pressure gradient of the pressure field. A second fluid flow is digitally simulated by applying the volumetric body force to the plurality of voxels.bond