Search Results for author: Nikolaus A. Adams

Found 12 papers, 6 papers with code

JAX-SPH: A Differentiable Smoothed Particle Hydrodynamics Framework

1 code implementation7 Mar 2024 Artur P. Toshev, Harish Ramachandran, Jonas A. Erbesdobler, Gianluca Galletti, Johannes Brandstetter, Nikolaus A. Adams

Particle-based fluid simulations have emerged as a powerful tool for solving the Navier-Stokes equations, especially in cases that include intricate physics and free surfaces.

Neural SPH: Improved Neural Modeling of Lagrangian Fluid Dynamics

2 code implementations9 Feb 2024 Artur P. Toshev, Jonas A. Erbesdobler, Nikolaus A. Adams, Johannes Brandstetter

Smoothed particle hydrodynamics (SPH) is omnipresent in modern engineering and scientific disciplines.

JAX-Fluids 2.0: Towards HPC for Differentiable CFD of Compressible Two-phase Flows

no code implementations7 Feb 2024 Deniz A. Bezgin, Aaron B. Buhendwa, Nikolaus A. Adams

In our effort to facilitate machine learning-assisted computational fluid dynamics (CFD), we introduce the second iteration of JAX-Fluids.

Learning Lagrangian Fluid Mechanics with E($3$)-Equivariant Graph Neural Networks

2 code implementations24 May 2023 Artur P. Toshev, Gianluca Galletti, Johannes Brandstetter, Stefan Adami, Nikolaus A. Adams

We contribute to the vastly growing field of machine learning for engineering systems by demonstrating that equivariant graph neural networks have the potential to learn more accurate dynamic-interaction models than their non-equivariant counterparts.

E($3$) Equivariant Graph Neural Networks for Particle-Based Fluid Mechanics

no code implementations31 Mar 2023 Artur P. Toshev, Gianluca Galletti, Johannes Brandstetter, Stefan Adami, Nikolaus A. Adams

We contribute to the vastly growing field of machine learning for engineering systems by demonstrating that equivariant graph neural networks have the potential to learn more accurate dynamic-interaction models than their non-equivariant counterparts.

On the Relationships between Graph Neural Networks for the Simulation of Physical Systems and Classical Numerical Methods

no code implementations31 Mar 2023 Artur P. Toshev, Ludger Paehler, Andrea Panizza, Nikolaus A. Adams

Recent developments in Machine Learning approaches for modelling physical systems have begun to mirror the past development of numerical methods in the computational sciences.

Physical Simulations

JAX-FLUIDS: A fully-differentiable high-order computational fluid dynamics solver for compressible two-phase flows

1 code implementation25 Mar 2022 Deniz A. Bezgin, Aaron B. Buhendwa, Nikolaus A. Adams

AD in particular is essential to ML-CFD research as it provides gradient information and enables optimization of preexisting and novel CFD models.

A fully-differentiable compressible high-order computational fluid dynamics solver

no code implementations9 Dec 2021 Deniz A. Bezgin, Aaron B. Buhendwa, Nikolaus A. Adams

While prior work has explored differentiable algorithms for one- or two-dimensional incompressible fluid flows, we present a fully-differentiable three-dimensional framework for the computation of compressible fluid flows using high-order state-of-the-art numerical methods.

Vocal Bursts Intensity Prediction

Sparse Identification of Truncation Errors

1 code implementation7 Apr 2019 Stephan Thaler, Ludger Paehler, Nikolaus A. Adams

We augment a sparse regression-rooted approach with appropriate preconditioning routines to aid in the identification of the individual modified differential equation terms.

Numerical Analysis 62J05, 65F08 (Primary) 90C31, 35Q35, 68W40 (Secondary) G.1.8; G.3; F.2.0

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