# A Contact Proxy Splitting Method for Lagrangian Solid-Fluid Coupling

arXiv: https://arxiv.org/abs/2301.01976 · HTML: https://mlsanity.com/paper/2301.01976/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 5 Jan 2023.

## Built on by (most cited first, 3 of 3)

- [VideoPhy: Evaluating Physical Commonsense for Video Generation](https://mlsanity.com/paper/2406.03520/) (2024)
- [An Efficient Multilevel Preconditioned Nonlinear Conjugate Gradient Method for Incremental Potential Contact](https://mlsanity.com/paper/2604.19892/) (2026)
- [VersaGauss: A Versatile Framework for Generating Multiphase Dynamics with 3D Gaussians](https://mlsanity.com/paper/2608.28069/) (2026)

## Abstract (arXiv)

We present a robust and efficient method for simulating Lagrangian solid-fluid coupling based on a new operator splitting strategy. We use variational formulations to approximate fluid properties and solid-fluid interactions, and introduce a unified two-way coupling formulation for SPH fluids and FEM solids using interior point barrier-based frictional contact. We split the resulting optimization problem into a fluid phase and a solid-coupling phase using a novel time-splitting approach with augmented contact proxies, and propose efficient custom linear solvers. Our technique accounts for fluids interaction with nonlinear hyperelastic objects of different geometries and codimensions, while maintaining an algorithmically guaranteed non-penetrating criterion. Comprehensive benchmarks and experiments demonstrate the efficacy of our method.