Multi-stream physics hybrid networks for solving Navier-Stokes equations
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912918504734720 |
|---|---|
| author | Sedykh, Aleksandr Protasevich, Tatjana Surmach, Mikhail Senokosov, Arsenii Anoshin, Matvei Sagingalieva, Asel Melnikov, Alexey |
| author_facet | Sedykh, Aleksandr Protasevich, Tatjana Surmach, Mikhail Senokosov, Arsenii Anoshin, Matvei Sagingalieva, Asel Melnikov, Alexey |
| contents | Understanding and solving fluid dynamics equations efficiently remains a fundamental challenge in computational physics. Traditional numerical solvers and physics-informed neural networks struggle to capture the full range of frequency components in partial differential equation solutions, limiting their accuracy and efficiency. Here, we propose the Multi-stream Physics Hybrid Network, a novel neural architecture that integrates quantum and classical layers in parallel to improve the accuracy of solving fluid dynamics equations, namely ''Kovasznay flow'' problem. This approach decomposes the solution into separate frequency components, each predicted by independent Parallel Hybrid Networks, simplifying the training process and enhancing performance. We evaluated the proposed model against a comparable classical neural network, the Multi-stream Physics Classical Network, in both data-driven and physics-driven scenarios. Our results show that the Multi-stream Physics Hybrid Network achieves a reduction in root mean square error by 36% for velocity components and 41% for pressure prediction compared to the classical model, while using 24% fewer trainable parameters. These findings highlight the potential of hybrid quantum-classical architectures for advancing computational fluid dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01891 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multi-stream physics hybrid networks for solving Navier-Stokes equations Sedykh, Aleksandr Protasevich, Tatjana Surmach, Mikhail Senokosov, Arsenii Anoshin, Matvei Sagingalieva, Asel Melnikov, Alexey Fluid Dynamics Computational Physics Quantum Physics Understanding and solving fluid dynamics equations efficiently remains a fundamental challenge in computational physics. Traditional numerical solvers and physics-informed neural networks struggle to capture the full range of frequency components in partial differential equation solutions, limiting their accuracy and efficiency. Here, we propose the Multi-stream Physics Hybrid Network, a novel neural architecture that integrates quantum and classical layers in parallel to improve the accuracy of solving fluid dynamics equations, namely ''Kovasznay flow'' problem. This approach decomposes the solution into separate frequency components, each predicted by independent Parallel Hybrid Networks, simplifying the training process and enhancing performance. We evaluated the proposed model against a comparable classical neural network, the Multi-stream Physics Classical Network, in both data-driven and physics-driven scenarios. Our results show that the Multi-stream Physics Hybrid Network achieves a reduction in root mean square error by 36% for velocity components and 41% for pressure prediction compared to the classical model, while using 24% fewer trainable parameters. These findings highlight the potential of hybrid quantum-classical architectures for advancing computational fluid dynamics. |
| title | Multi-stream physics hybrid networks for solving Navier-Stokes equations |
| topic | Fluid Dynamics Computational Physics Quantum Physics |
| url | https://arxiv.org/abs/2504.01891 |