Neural Operators Predict Soft Swimmer Locomotion Hydrodynamics

Mohammad Sadegh Eshaghi, Yizheng Wang, Navid Valizadeh, Xiaoying Zhuang, Timon Rabczuk· August 11, 2026 View original

Key takeaways

  • High-fidelity simulations of soft swimmers are computationally expensive.
  • Neural operators can serve as efficient surrogates for temporal prediction of hydrodynamic fields.
  • These models significantly reduce evaluation costs for engineering design and control.
  • Further development is needed to improve pressure prediction accuracy and physical consistency.

Who benefits

RoboticsAerospaceMarine EngineeringBiomedical EngineeringMaterials Science

Summary

This research develops neural operator surrogates to predict hydrodynamic fields generated by deforming soft swimmers, significantly reducing the computational cost of high-fidelity simulations. These models, trained on adaptive fluid-structure simulations, offer efficient temporal predictions for engineering design and control, though pressure accuracy remains an area for improvement.

Simulating the complex interaction between deforming soft swimmers and their surrounding fluid flow is computationally intensive, limiting its use in design and control applications. This research introduces neural operator surrogates as a solution to this challenge, aiming to drastically reduce the cost of repeated evaluations.The developed models are trained on high-fidelity simulation data, specifically regular-grid fields from adaptive fluid-structure simulations. These surrogates are conditioned on factors like swimmer geometry and Reynolds number, enabling them to predict hydrodynamic fields such as velocity, vorticity, and pressure over time for both planar and volumetric eel swimmers.Results show that the planar model achieves a low global relative L^2 error for velocity, vorticity, and pressure. The volumetric model also performs well for velocity and vorticity, though pressure prediction accuracy is identified as a key area for future development. This work demonstrates the potential of neural surrogates for moving-boundary fluid flows, offering a path to more efficient engineering design.

Why it matters

For professionals in robotics, biomechanics, and engineering design, this technology offers a way to rapidly prototype and optimize soft robotic systems or bio-inspired designs without the prohibitive computational cost of traditional simulations.

How to implement this in your domain

  1. 1Investigate neural operators as a method for accelerating fluid dynamics simulations in your design workflows.
  2. 2Explore applying similar surrogate modeling techniques to other computationally expensive physical simulations.
  3. 3Collaborate with AI researchers to adapt these methods for specific soft robotics or bio-inspired engineering challenges.
  4. 4Develop validation protocols to ensure the physical consistency and accuracy of neural operator predictions.

Original post by Mohammad Sadegh Eshaghi, Yizheng Wang, Navid Valizadeh, Xiaoying Zhuang, Timon Rabczuk

"arXiv:2608.07722v1 Announce Type: new Abstract: High-fidelity immersed-boundary simulation resolves the coupled motion of a deforming swimmer and its surrounding flow, but the resulting cost limits repeated evaluations for engineering design, parameter studies, and control. We de…"

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Originally posted by Mohammad Sadegh Eshaghi, Yizheng Wang, Navid Valizadeh, Xiaoying Zhuang, Timon Rabczuk on X · view source

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