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This paper presents a Graphics Processing Units (GPUs) acceleration method of an iterative scheme for gas-kinetic model equations. Unlike the previous GPU parallelization of explicit kinetic schemes, this work features a fast converging…

Computational Physics · Physics 2020-01-08 Lianhua Zhu , Peng Wang , Songze Chen , Zhaoli Guo , Yonghao Zhang

Data-driven methods for computer simulations are blooming in many scientific areas. The traditional approach to simulating physical behaviors relies on solving partial differential equations (PDE). Since calculating these iterative…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-01 Sergio Iserte , Alejandro González-Barberá , Paloma Barreda , Krzysztof Rojek

Data-intensive scientific workflows increasingly rely on high-performance computing (HPC) systems, complementing traditional Grid and Cloud platforms. However, workflow scheduling on HPC infrastructures remains challenging due to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-26 Aurelio Vivas , Harold Castro

We present efficient algorithms to build data structures and the lists needed for fast multipole methods. The algorithms are capable of being efficiently implemented on both serial, data parallel GPU and on distributed architectures. With…

Mathematical Software · Computer Science 2013-01-10 Qi Hu , Nail A. Gumerov , Ramani Duraiswami

We construct Two-Point Flux Approximation (TPFA) finite volume schemes to solve the quadratic optimal transport problem in its dynamic form, namely the problem originally introduced by Benamou and Brenier. We show numerically that these…

Numerical Analysis · Mathematics 2021-08-31 Andrea Natale , Gabriele Todeschi

Hydrogen fuel cells are a key technology in the transition toward carbon-neutral energy systems, offering clean power with water as the only byproduct. Microfluidic fuel cells, which operate at the microliter scale, are an emerging variant…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Michel Takken , Robert Wille

This work aims to improve fuel chamber injectors' performance in turbofan engines, thus implying improved performance and reduction of pollutants. This requires the development of models that allow real-time prediction and improvement of…

Machine Learning · Computer Science 2023-06-21 León Mata , Rodrigo Abadía-Heredia , Manuel Lopez-Martin , José M. Pérez , Soledad Le Clainche

This study introduces a hybrid fluid simulation approach that integrates generative diffusion models with physics-based simulations, aiming at reducing the computational costs of flow simulations while still honoring all the physical…

A fully adaptive finite volume multiresolution scheme for one-dimensional strongly degenerate parabolic equations with discontinuous flux is presented. The numerical scheme is based on a finite volume discretization using the…

Numerical Analysis · Mathematics 2008-07-03 Raimund Bürger , Ricardo Ruiz Baier , Mauricio Sepúlveda , Kai Schneider

Fast assimilation of monitoring data to update forecasts of pressure buildup and carbon dioxide (CO2) plume migration under geologic uncertainties is a challenging problem in geologic carbon storage. The high computational cost of data…

Carbon, capture, and storage (CCS) is an important bridging technology to combat climate change in the transition towards net-zero. The FluidFlower concept has been developed to visualize and study CO$_2$ flow and storage mechanisms in…

In this work, we introduce DeepFlame, an open-source C++ platform with the capabilities of utilising machine learning algorithms and pre-trained models to solve for reactive flows. We combine the individual strengths of the computational…

Fluid Dynamics · Physics 2023-07-17 Runze Mao , Minqi Lin , Yan Zhang , Tianhan Zhang , Zhi-Qin John Xu , Zhi X. Chen

Turbulent flow simulation plays a crucial role in various applications, including aircraft and ship design, industrial process optimization, and weather prediction. In this paper, we propose an advanced data-driven method for simulating…

Fluid Dynamics · Physics 2023-06-27 Duc Minh Nguyen , Minh Chau Vu , Tuan Anh Nguyen , Tri Huynh , Nguyen Tri Nguyen , Truong Son Hy

Simulating the flow of different fluids can be a highly computational intensive process, which requires large amounts of resources. Recently there has been a lot of research effort directed towards GPU processing, which can greatly increase…

Computational Engineering, Finance, and Science · Computer Science 2019-07-17 Adrian Coman , Elena Apostol , Catalin Leordeanu , Emil Slusanschi

The design of microfluidic devices is a cumbersome and tedious process that can be significantly improved by simulation. Methods based on Computational Fluid Dynamics (CFD) are considered state-of-the-art, but require extensive compute time…

Computational Engineering, Finance, and Science · Computer Science 2024-01-17 Michel Takken , Robert Wille

Power flow (PF) calculations are the backbone of real-time grid operations, across workflows such as contingency analysis (where repeated PF evaluations assess grid security under outages) and topology optimization (which involves PF-based…

Machine Learning · Computer Science 2026-04-21 Ana K. Rivera , Anvita Bhagavathula , Alvaro Carbonero , Priya Donti

To realize efficient computational fluid dynamics (CFD) prediction of two-phase flow, a multi-scale framework was proposed in this paper by applying a physics-guided data-driven approach. Instrumental to this framework, Feature Similarity…

Computational Physics · Physics 2019-10-18 Han Bao , Jinyong Feng , Nam Dinh , Hongbin Zhang

The simulation of heat flow through heterogeneous material is important for the design of structural and electronic components. Classical analytical solutions to the heat equation PDE are not known for many such domains, even those having…

Numerical Analysis · Mathematics 2019-05-21 Andrew Loeb , Christopher Earls

We introduce Neural Flow Maps, a novel simulation method bridging the emerging paradigm of implicit neural representations with fluid simulation based on the theory of flow maps, to achieve state-of-the-art simulation of inviscid fluid…

Graphics · Computer Science 2023-12-25 Yitong Deng , Hong-Xing Yu , Diyang Zhang , Jiajun Wu , Bo Zhu

Inverse problems governed by partial differential equations (PDEs) are crucial in science and engineering. They are particularly challenging due to ill-posedness, data sparsity, and the added complexity of irregular geometries. Classical…

Machine Learning · Computer Science 2025-09-30 Sifan Wang , Zhikai Wu , David van Dijk , Lu Lu