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In this article, we design and analyze an arbitrary-order stabilized finite element method to approximate the unique continuation problem for laminar steady flow described by the linearized incompressible Navier--Stokes equation. We derive…

Numerical Analysis · Mathematics 2023-01-16 Erik Burman , Deepika Garg , Janosch Preuss

We present a cross-architecture high-order heterogeneous Navier-Stokes simulation solver, XFluids, for compressible reacting multicomponent flows on different platforms. The multi-component reacting flows are ubiquitous in many scientific…

Computational Physics · Physics 2024-07-11 Jinlong Li , Shucheng Pan

The finite element method offers attractive methods for the numerical solution of coupled field problems arising in sensors and actuator simulations of various physical domains, like electrodynamics, mechanics, and thermodynamics. With this…

Numerical Analysis · Mathematics 2025-01-14 Stefan Schoder , Klaus Roppert

Streaming video reasoning requires models to operate in a setting where history grows without bound while meaningful evidence remains scarce. In such a landscape, relevant signal is like an oasis-small, critical, and easily lost in a desert…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Zhijia Liang , Jiaming Li , Weikai Chen , Yanhao Zhang , Haonan Lu , Guanbin Li

fastai is a deep learning library which provides practitioners with high-level components that can quickly and easily provide state-of-the-art results in standard deep learning domains, and provides researchers with low-level components…

Machine Learning · Computer Science 2020-02-21 Jeremy Howard , Sylvain Gugger

The apsis toolkit presented in this paper provides a flexible framework for hyperparameter optimization and includes both random search and a bayesian optimizer. It is implemented in Python and its architecture features adaptability to any…

Machine Learning · Computer Science 2015-03-17 Frederik Diehl , Andreas Jauch

In this article, we solve the Stokes and Navier-Stokes equations with the deal$.$II finite-element library. In particular, we use its multigrid, adaptive-mesh, and matrix-free infrastructures to design efficient linear and nonlinear…

Numerical Analysis · Mathematics 2026-04-01 Peter Munch , Marc Fehling , Martin Kronbichler , Nils Margenberg , Laura Prieto Saavedra

To leverage the last two decades' transition in High-Performance Computing (HPC) towards clusters of compute nodes bound together with fast interconnects, a modern scalable CFD code must be able to efficiently distribute work amongst…

Computational Physics · Physics 2014-05-16 Åsmund Ervik , Svend Tollak Munkejord , Bernhard Müller

Given an object mask, Semi-supervised Video Object Segmentation (SVOS) technique aims to track and segment the object across video frames, serving as a fundamental task in computer vision. Although recent memory-based methods demonstrate…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Guanyi Qin , Ziyue Wang , Daiyun Shen , Haofeng Liu , Hantao Zhou , Junde Wu , Runze Hu , Yueming Jin

This paper presents a lightweight, open-source and high-performance python package for solving peridynamics problems in solid mechanics. The development of this solver is motivated by the need for fast analysis tools to achieve the large…

Software Engineering · Computer Science 2021-09-15 B. Boys , T. J. Dodwell , M. Hobbs , M. Girolami

We consider a test problem for Navier-Stokes solvers based on the flow around a cylinder at Reynolds numbers 500 and 1000, where the solution is observed to be periodic when the problem is sufficiently resolved. Computing the resulting flow…

Numerical Analysis · Mathematics 2025-07-15 Henry von Wahl , Leo G. Rebholz , L. Ridgway Scott

We construct $L_p$-estimates for the inhomogeneous Oseen system studied in a two dimensional exterior domain $\Omega$ with inhomogeneous slip boundary conditions. The kernel of the paper is a result for the half space $\mathbb{R}^2_+$.…

Mathematical Physics · Physics 2015-05-13 Paweł Konieczny

The Python package fluidsim is introduced in this article as an extensible framework for Computational Fluid Mechanics (CFD) solvers. It is developed as a part of FluidDyn project (Augier et al., 2018), an effort to promote open-source and…

Computational Engineering, Finance, and Science · Computer Science 2019-07-31 Ashwin Vishnu Mohanan , Cyrille Bonamy , Miguel Calpe Linares , Pierre Augier

Planetary Climate Models (PCMs) are developed to explore planetary climates other than the Earth. Therefore, the methods implemented need to be suitable for a large diversity of conditions. Every planet with a significant atmosphere has…

Earth and Planetary Astrophysics · Physics 2022-04-05 João M. Mendonça

We present a scalable, high-order implicit large-eddy simulation (ILES) approach for incompressible transitional flows. This method employs the mass-conserving mixed stress (MCS) method for discretizing the Navier-Stokes equations. The MCS…

Computational Engineering, Finance, and Science · Computer Science 2024-08-14 Philip L. Lederer , Xaver Mooslechner , Joachim Schöberl

This work presents a non-linear extension of the high-order discretisation framework based on the Variational Multiscale (VMS) method previously introduced for steady linear problems. We build on the concept of an optimal projector defined…

Numerical Analysis · Mathematics 2025-12-22 Suyash Shrestha , Marc Gerritsma , Gonzalo Rubio , Steven Hulshoff , Esteban Ferrer

This paper presents the Accurate Google Cloud Simulator (AGOCS) - a novel high-fidelity Cloud workload simulator based on parsing real workload traces, which can be conveniently used on a desktop machine for day-to-day research. Our…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-01 Leszek Sliwko , Vladimir Getov

We present a pseudo-spectal Navier-Stokes solver for plane parallel flows (Couette/Poiseuille), that has been developed on the MATLAB programming language. The code performs direct numerical simulations (DNSs) of turbulence in 3 dimensions…

Fluid Dynamics · Physics 2024-05-28 Marios-Andreas Nikolaidis

The Cahn-Hilliard Navier-Stokes (CHNS) system provides a computationally tractable model that can be used to effectively capture interfacial dynamics in two-phase fluid flows. In this work, we present a semi-implicit, projection-based…

The goal of this study is to develop an efficient numerical algorithm applicable to a wide range of compressible multicomponent flows. Although many highly efficient algorithms have been proposed for simulating each type of the flows, the…

Computational Physics · Physics 2018-10-04 Roman Frolov