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Simflowny is an open platform which automatically generates efficient parallel code of scientific dynamical models for different simulation frameworks. Here we present major upgrades on this software to support simultaneously a quite…

Computational Physics · Physics 2020-12-02 C. Palenzuela , B. Miñano , A. Arbona , C. Bona-Casas , C. Bona , J. Massó

Within recent years, considerable progress has been made regarding high-performance solvers for Partial Differential Equations (PDEs), yielding potential gains in efficiency compared to industry standard tools. However, the latter largely…

Numerical Analysis · Mathematics 2024-02-20 Patrick Zimbrod , Michael Fleck , Johannes Schilp

This paper collects the efforts done in our previous works [P. Degond, S. Jin, L. Mieussens, A Smooth Transition Between Kinetic and Hydrodynamic Equations, J. Comp. Phys., 209 (2005) 665--694.],[P.Degond, G. Dimarco, L. Mieussens, A Moving…

Mathematical Physics · Physics 2014-04-08 Pierre Degond , Giacomo Dimarco , Luc Mieussens

Scalable and efficient numerical simulations continue to gain importance, as computation is firmly established as the third pillar of discovery, alongside theory and experiment. Meanwhile, the performance of computing hardware grows through…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-26 Pietro Incardona , Antonio Leo , Yaroslav Zaluzhnyi , Rajesh Ramaswamy , Ivo F. Sbalzarini

Multiphysics simulations play an essential role in accurately modeling complex interactions across diverse scientific and engineering domains Although neural operators especially the Fourier Neural Operator FNO have significantly improved…

Machine Learning · Computer Science 2025-09-23 Yifei Sun , Tao Wang , Junqi Qu , Yushun Dong , Hewei Tang , Shibo Li

Simulation of fluid flows is crucial for modeling physical phenomena like meteorology, aerodynamics, and biomedicine. Classical numerical solvers often require fine spatiotemporal grids to satisfy stability, consistency, and convergence…

Machine Learning · Computer Science 2025-07-04 Mengtao Yan , Qi Wang , Haining Wang , Ruizhi Chengze , Yi Zhang , Hongsheng Liu , Zidong Wang , Fan Yu , Qi Qi , Hao Sun

Porous media processes involve various physical phenomena such as mechanical deformation, transport, and fluid flow. Accurate simulations must capture the strong couplings between these phenomena. Choosing an efficient solver for the…

Numerical Analysis · Mathematics 2025-10-14 Yury Zabegaev , Eirik Keilegavlen , Einar Iversen , Inga Berre

Scientific machine learning often requires combining known physics with unknown parameters or correction terms learned from data. Existing approaches either ignore known structure, encode it as a soft penalty, or require hand-written…

Machine Learning · Computer Science 2026-05-22 Lucas Sheneman

High-precision scientific simulation faces a long-standing trade-off between computational efficiency and physical fidelity. To address this challenge, we propose NeuralOGCM, an ocean modeling framework that fuses differentiable programming…

Machine Learning · Computer Science 2025-12-15 Hao Wu , Yuan Gao , Fan Xu , Fan Zhang , Guangliang Liu , Yuxuan Liang , Xiaomeng Huang

The fast simulation of dynamical systems is a key challenge in many scientific and engineering applications, such as weather forecasting, disease control, and drug discovery. With the recent success of deep learning, there is increasing…

Machine Learning · Computer Science 2024-10-02 Zezheng Song , Jiaxin Yuan , Haizhao Yang

In this paper, we present a machine learning-based data generator framework tailored to aid researchers who utilize simulations to examine various physical systems or processes. High computational costs and the resulting limited data often…

Machine Learning · Computer Science 2023-05-17 Sabber Ahamed , Md Mesbah Uddin

This paper introduces Eilmer, a general-purpose open-source compressible flow solver developed at the University of Queensland, designed to support research calculations in hypersonics and high-speed aerothermodynamics. Eilmer has a broad…

Computational Engineering, Finance, and Science · Computer Science 2022-10-06 Nicholas N. Gibbons , Kyle A. Damm , Peter A. Jacobs , Rowan J. Gollan

Global ocean modeling is vital for climate science but struggles to balance computational efficiency with accuracy. Traditional numerical solvers are accurate but computationally expensive, while pure deep learning approaches, though fast,…

Atmospheric and Oceanic Physics · Physics 2026-05-28 Ruiqi Shu , Xiaohui Zhong , Qiusheng Huang , Ruijian Gou , Tianrun Gao , Hao Li , Xiaomeng Huang

A compiler approach for generating low-level computer code from high-level input for discontinuous Galerkin finite element forms is presented. The input language mirrors conventional mathematical notation, and the compiler generates…

Mathematical Software · Computer Science 2011-04-05 Kristian B. Ølgaard , Anders Logg , Garth N. Wells

Many subsurface engineering applications involve tight-coupling between fluid flow, solid deformation, fracturing, and similar processes. To better understand the complex interplay of different governing equations, and therefore design…

This study presents a novel methodology for integrating physics-informed loss functions into deep learning models using OpenFOAM's comprehensive data structures. Leveraging the robust and flexible capabilities of OpenFOAM's data structure…

Fluid Dynamics · Physics 2024-08-20 Yijin Mao , Yuwen Zhang

Within OpenFOAM, we develop a pressure-based solver for the Euler equations written in conservative form using density, momentum, and total energy as variables. Under simplifying assumptions, these equations are used to describe…

Fluid Dynamics · Physics 2023-02-10 Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

Computational physics increasingly depends on large simulation datasets generated by software that remains under active development for many years. In such settings, reproducibility requires not only well documented data but also explicit…

Computational Physics · Physics 2026-04-30 Markus Uehlein , Tobias Held , Christopher Seibel , Lukas G. Jonda , Baerbel Rethfeld , Sebastian T. Weber

We present Decapodes, a diagrammatic tool for representing, composing, and solving partial differential equations. Decapodes provides an intuitive diagrammatic representation of the relationships between variables in a system of equations,…

Numerical Analysis · Mathematics 2024-02-01 Luke Morris , Andrew Baas , Jesus Arias , Maia Gatlin , Evan Patterson , James P. Fairbanks

Two new control volume solvers multiFluidInterFoam and rheoMultiFluidInterFoam are presented for the simulation of Newtonian and non-Newtonian n-phase flows, respectively, fully accounting for interfacial tension and contact-angle effects…

Fluid Dynamics · Physics 2022-03-21 Chris Dritselis , George Karapetsas