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Finding an appropriate turbulence model for a given flow case usually calls for extensive experimentation with both models and numerical solution methods. This work presents the design and implementation of a flexible, programmable software…

Computational Engineering, Finance, and Science · Computer Science 2011-07-21 Mikael Mortensen , Hans Petter Langtangen , Garth N. Wells

Computational fluid dynamics (CFD) in combination with patient-specific medical images has been used to correlate flow phenotypes with disease initiation, progression and outcome, in search of a prospective clinical tool. A large number of…

Fluid Dynamics · Physics 2023-05-26 Henrik A. Kjeldsberg , Joakim Sundnes , Kristian Valen-Sendstad

To address the dual challenges of performance portability across heterogeneous hardware and the high usability barriers of conventional computational fluid dynamics (CFD) software, this paper introduces FEALPy.CFD, a high performance,…

Fluid Dynamics · Physics 2026-05-26 Wang Pengxiang , Huang Xianbo , Peng Li , Wei Huayi

We extend the One-Way Navier Stokes (OWNS) approach to support nonlinear interactions between waves of different frequencies, which will enable nonlinear analysis of instability and transition. In OWNS, the linearized Navier-Stokes…

Fluid Dynamics · Physics 2025-02-10 Michael K. Sleeman , Matthew T. Lakebrink , Tim Colonius

In this work, we introduce a novel method for solving the set inversion problem by formulating it as a binary classification problem. Aiming to develop a fast algorithm that can work effectively with high-dimensional and computationally…

Machine Learning · Computer Science 2021-06-01 Binh T. Nguyen , Duy M. Nguyen , Lam Si Tung Ho , Vu Dinh

We present a spectral element solver for the steady incompressible Navier-Stokes equations subject to a free surface. Utilizing the kinematic behaviour of the free surface boundary, an iterative pseudo-time procedure is proposed to…

Numerical Analysis · Mathematics 2025-12-30 Simone Minniti , Jens Visbech , Claes Eskilsson , Nicola Parolini , Allan Peter Engsig-Karup

The Multiphysics Object Oriented Simulation Environment (MOOSE) framework is a high-performance, open source, C++ finite element toolkit developed at Idaho National Laboratory. MOOSE was created with the aim of assisting domain scientists…

Numerical Analysis · Mathematics 2018-02-22 John W. Peterson , Alexander D. Lindsay , Fande Kong

Solving partial differential equations with the finite element method leads to large linear systems of equations that must be solved. When these systems have a natural block structure due to multiple field variables, using iterative solvers…

Mathematical Software · Computer Science 2025-09-08 Martin Řehoř , Jack S. Hale

AFSI is a novel, open-source fluid-structure interaction (FSI) solver that extends the capabilities of the FEniCS finite element library through an immersed boundary (IB) framework. Designed to simulate large deformations in hyperelastic…

Computational Physics · Physics 2025-09-03 Pengfei Ma , Li Cai , Xuan Wang , Hao Gao

We develop a high-fidelity numerical solver for the compressible Navier-Stokes equations, with the main aim of highlighting the predictive capabilities of low-diffusive numerics for flows in complex geometries. The space discretization of…

Fluid Dynamics · Physics 2016-12-16 Davide Modesti , Sergio Pirozzoli

We introduce QICS (Quantum Information Conic Solver), an open-source primal-dual interior point solver fully implemented in Python, which is focused on solving optimization problems arising in quantum information theory. QICS has the…

Optimization and Control · Mathematics 2025-07-08 Kerry He , James Saunderson , Hamza Fawzi

We present the components of a high-order accurate Navier-Stokes solver designed to simulate high-Reynolds-number stratified flows. The proposed numerical model addresses some of the numerical and computational challenges that…

Fluid Dynamics · Physics 2025-10-01 Nidia Reyes-Gil , Greg Thomsen , Kristopher Rowe , Peter Diamessis

We present a mixed finite element solver for the linearized R13 equations of non-equilibrium gas dynamics. The Python implementation builds upon the software tools provided by the FEniCS computing platform. We describe a new tensorial…

Computational Engineering, Finance, and Science · Computer Science 2021-04-27 Lambert Theisen , Manuel Torrilhon

Computation-Enabled Object Storage (COS) systems, such as MinIO and Ceph, have recently emerged as promising storage solutions for post hoc, SQL-based analysis on large-scale datasets in High-Performance Computing (HPC) environments. By…

A generic framework for the solution of PDE-constrained optimisation problems based on the FEniCS system is presented. Its main features are an intuitive mathematical interface, a high degree of automation, and an efficient implementation…

Mathematical Software · Computer Science 2013-02-19 S. W. Funke , P. E. Farrell

Bernaise (Binary ElectRohydrodyNAmIc SolvEr) is a flexible high-level finite element solver of two-phase electrohydrodynamic flow in complex geometries. Two-phase flow with electrolytes is relevant across a broad range of systems and…

Computational Physics · Physics 2020-06-30 Gaute Linga , Asger Bolet , Joachim Mathiesen

The proliferation of spectroscopic data across various scientific and engineering fields necessitates automated processing. We introduce OASIS (Omni-purpose Analysis of Spectra via Intelligent Systems), a machine learning (ML) framework for…

Machine Learning · Computer Science 2025-09-16 Chris Young , Juejing Liu , Marie L. Mortensen , Yifu Feng , Elizabeth Li , Zheming Wang , Xiaofeng Guo , Kevin M. Rosso , Xin Zhang

This paper describes in detail the implementation of a finite element technique for solving the compressible Navier-Stokes equations that is provably robust and demonstrates excellent performance on modern computer hardware. The method is…

Numerical Analysis · Mathematics 2022-02-02 Jean-Luc Guermond , Martin Kronbichler , Matthias Maier , Bojan Popov , Ignacio Tomas

Vizier is the de-facto blackbox and hyperparameter optimization service across Google, having optimized some of Google's largest products and research efforts. To operate at the scale of tuning thousands of users' critical systems, Google…

Machine Learning · Computer Science 2023-01-12 Xingyou Song , Sagi Perel , Chansoo Lee , Greg Kochanski , Daniel Golovin

CaNS-Fizzy -- Fizzy for short -- is a GPU-accelerated numerical solver for massively-parallel Direct Numerical Simulations (DNS) of incompressible two-phase flows. A DNS enables direct access to all flow quantities, resolved in time and…

Fluid Dynamics · Physics 2025-09-12 G. Lupo , P. Wellens , P. Costa
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