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In our effort to facilitate machine learning-assisted computational fluid dynamics (CFD), we introduce the second iteration of JAX-Fluids. JAX-Fluids is a Python-based fully-differentiable CFD solver designed for compressible single- and…

Fluid Dynamics · Physics 2024-02-09 Deniz A. Bezgin , Aaron B. Buhendwa , Nikolaus A. Adams

Physical systems are governed by partial differential equations (PDEs). The Navier-Stokes equations describe fluid flows and are representative of nonlinear physical systems with complex spatio-temporal interactions. Fluid flows are…

Fluid Dynamics · Physics 2022-10-05 Deniz A. Bezgin , Aaron B. Buhendwa , Nikolaus A. Adams

Topology Optimization (TO) holds the promise of designing next-generation compact and efficient fluidic devices. However, the inherent complexity of fluid-based TO systems, characterized by multiphysics nonlinear interactions, poses…

Computational Engineering, Finance, and Science · Computer Science 2025-08-26 Rahul Kumar Padhy , Krishnan Suresh , Aaditya Chandrasekhar

Understanding shock-solid interactions remains a central challenge in compressiblefluiddynamics. WepresentJAX-Shock: afully-differentiable,GPU-accelerated, high-order shock-capturing solver for efficient simulation of the compressible…

Fluid Dynamics · Physics 2026-01-09 Bo Zhang

Turbulent flows and fluid-structure interactions (FSI) are ubiquitous in scientific and engineering applications, but their accurate and efficient simulation remains a major challenge due to strong nonlinearities, multiscale interactions,…

Fluid Dynamics · Physics 2025-06-02 Xiantao Fan , Xinyang Liu , Meng Wang , Jian-Xun Wang

Inverse design of complex flows is notoriously challenging because of the high cost of high dimensional optimization. Usually, optimization problems are either restricted to few control parameters, or adjoint-based approaches are used to…

Fluid Dynamics · Physics 2024-03-12 Mohammed Alhashim , Kaylie Hausknecht , Michael Brenner

Coordinating growing grid flexibility under uncertainty is becoming increasingly important for efficient and reliable power-system operation. A core computational requirement is the efficient large-scale batched evaluation of AC power flow…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Yihong Zhou , Dylan Cope , Jakob Foerster , Thomas Morstyn

Accurate prediction of wall-bounded flows remains central to advancing both theoretical understanding and computational methods in fluid mechanics. In this study, we perform a numerical simulation of channel flow using a complementary…

This study presents an automatic differentiation (AD)-based optimization framework for flow control in compressible turbulent channel flows. We developed a fully differentiable boundary condition framework that allows for the precise…

Fluid Dynamics · Physics 2025-07-01 Wenkang Wang , Xu Chu

Solving complex fluid-structure interaction (FSI) problems, which are described by nonlinear partial differential equations, is crucial in various scientific and engineering applications. Traditional computational fluid dynamics based…

Computational Physics · Physics 2023-03-24 Xiantao Fan , Jian-Xun Wang

We introduce JAX MD, a software package for performing differentiable physics simulations with a focus on molecular dynamics. JAX MD includes a number of physics simulation environments, as well as interaction potentials and neural networks…

Computational Physics · Physics 2020-12-04 Samuel S. Schoenholz , Ekin D. Cubuk

Shock dynamics and nonlinear wave propagation are fundamental to computational fluid dynamics (CFD) and high-speed flow modeling. In this study, we developed explicit and implicit finite-difference solvers for the one-dimensional Burgers…

This paper introduces JAX-FEM, an open-source differentiable finite element method (FEM) library. Constructed on top of Google JAX, a rising machine learning library focusing on high-performance numerical computing, JAX-FEM is implemented…

Mathematical Software · Computer Science 2023-06-28 Tianju Xue , Shuheng Liao , Zhengtao Gan , Chanwook Park , Xiaoyu Xie , Wing Kam Liu , Jian Cao

Integrating computational fluid dynamics (CFD) solvers into optimization and machine-learning frameworks is hampered by the rigidity of classic computational languages and the slow performance of more flexible high-level languages. In this…

Fluid Dynamics · Physics 2025-07-22 Gabriel D. Weymouth , Bernat Font

We present JAX-PF, an open-source, GPU-accelerated, and differentiable Phase Field (PF) software package, supporting both explicit and implicit time stepping schemes. Leveraging the modern computing architecture JAX, JAX-PF achieves high…

Computational Physics · Physics 2026-01-13 Fanglei Hu , Jiachen Guo , Stephen Niezgoda , Wing Kam Liu , Jian Cao

The rapid rise of scientific machine learning (SciML) has expanded the role of differentiable modeling, surrogate modeling, and data-driven constitutive laws in large-scale simulation. The JAX framework provides an attractive environment…

Mathematical Software · Computer Science 2026-04-27 Alberto Cattaneo , M Keith Ballard , Robert M. Kirby , Varun Shankar

We propose the use of automatic differentiation through the programming framework jax for accelerating a variety of analysis tasks throughout gravitational wave (GW) science. Firstly, we demonstrate that complete waveforms which cover the…

Instrumentation and Methods for Astrophysics · Physics 2023-02-13 Thomas D. P. Edwards , Kaze W. K. Wong , Kelvin K. H. Lam , Adam Coogan , Daniel Foreman-Mackey , Maximiliano Isi , Aaron Zimmerman

Considering the high computation cost produced in conventional computation fluid dynamic simulations, machine learning methods have been introduced to flow dynamic simulations in recent years. However, most of studies focus mainly on…

Fluid Dynamics · Physics 2020-10-13 M. Cheng , F. Fang , C. C. Pain , I. M. Navon

Rapid advances in deep learning have brought not only myriad powerful neural networks, but also breakthroughs that benefit established scientific research. In particular, automatic differentiation (AD) tools and computational accelerators…

Instrumentation and Methods for Astrophysics · Physics 2024-02-13 Yin Li , Chirag Modi , Drew Jamieson , Yucheng Zhang , Libin Lu , Yu Feng , François Lanusse , Leslie Greengard

JAX-bandflux is a JAX implementation of critical supernova modelling functionality for cosmological analysis. The codebase implements key components of the established library SNCosmo in a differentiable framework, offering efficient…

Instrumentation and Methods for Astrophysics · Physics 2025-04-14 Samuel Alan Kossoff Leeney
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