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Fluid flows are omnipresent in nature and engineering disciplines. The reliable computation of fluids has been a long-lasting challenge due to nonlinear interactions over multiple spatio-temporal scales. The compressible Navier-Stokes…

Fluid Dynamics · Physics 2021-12-10 Deniz A. Bezgin , Aaron B. Buhendwa , Nikolaus A. Adams

In this work we present a technique of fast numerical computation for solutions of Navier-Stokes equations in the case of flows of industrial interest. At first the partial differential equations are translated into a set of nonlinear…

Numerical Analysis · Mathematics 2007-07-11 Gianluca Argentini

Ultrafast ultrasound blood flow imaging is a state-of-the-art technique for depiction of complex blood flow dynamics in vivo through thousands of full-view image data (or, timestamps) acquired per second. Physics-informed Neural Network…

Computational Engineering, Finance, and Science · Computer Science 2025-01-14 Haotian Guan , Jinping Dong , Wei-Ning Lee

In order to run Computational Fluid Dynamics (CFD) codes on large scale infrastructures, parallel computing has to be used because of the computational intensive nature of the problems. In this paper we investigate the ADAPT platform where…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-25 Imad Kissami , Christophe Cerin , Fayssal Benkhaldoun , Gilles Scarella

An existing hybrid MPI-OpenMP scheme is augmented with a CUDA-based fine grain parallelization approach for multidimensional distributed Fourier transforms, in a well-characterized pseudospectral fluid turbulence code. Basics of the hybrid…

Computational Physics · Physics 2018-08-07 Duane Rosenberg , Pablo D. Mininni , Raghu Reddy , Annick Pouquet

In the field of computational fluid dynamics, direct numerical simulations generate highly detailed data for the analysis of turbulent flows by resolving all relevant physical scales. Yet their large size, complexity, and heterogeneity make…

Fluid Dynamics · Physics 2026-03-26 Lorenzo Piu , Heinz Pitsch , Alessandro Parente

Regional hydrology studies are often supported by high resolution simulations of subsurface flow that require expensive and extensive computations. Efficient usage of the latest high performance parallel computing systems becomes a…

Mathematical Software · Computer Science 2017-10-04 Carsten Burstedde , Jose A. Fonseca , Stefan Kollet

A high-order scheme for direct numerical simulations of turbulent combustion is discussed. Its implementation in the massively parallel and publicly available Pencil Code is validated with the focus on hydrogen combustion. Ignition delay…

Solar and Stellar Astrophysics · Physics 2010-10-28 N. Babkovskaia , N. E. L. Haugen , A. Brandenburg

Nonequispaced discrete Fourier transformation (NDFT) is widely applied in all aspects of computational science and engineering. The computational efficiency and accuracy of NDFT has always been a critical issue in hindering its…

Mathematical Software · Computer Science 2020-08-06 Sheng-Chun Yang , Yong-Lei Wang

We carry out direct numerical simulation (DNS) of flow in a turbulent square duct by focusing on heat transfer effects, considering the case of unit Prandtl number. Reynolds numbers up to $Re_\tau \approx 2000$ are considered which are much…

Fluid Dynamics · Physics 2022-05-11 Davide Modesti , Sergio Pirozzoli

All major weather and climate applications are currently developed using languages such as Fortran or C++. This is typical in the domain of high performance computing (HPC), where efficient execution is an important concern. Unfortunately,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-15 Enrique G. Paredes , Linus Groner , Stefano Ubbiali , Hannes Vogt , Alberto Madonna , Kean Mariotti , Felipe Cruz , Lucas Benedicic , Mauro Bianco , Joost VandeVondele , Thomas C. Schulthess

Efficient sampling from un-normalized target distributions is pivotal in scientific computing and machine learning. While neural samplers have demonstrated potential with a special emphasis on sampling efficiency, existing neural implicit…

Machine Learning · Computer Science 2024-11-05 Weijian Luo , Wei Deng

We propose Gauss-Newton's method in function space for the solution of the Navier-Stokes equations in the physics-informed neural network (PINN) framework. Upon discretization, this yields a natural gradient method that provably mimics the…

Optimization and Control · Mathematics 2024-02-19 Anas Jnini , Flavio Vella , Marius Zeinhofer

In silico materials design is hampered by the computational complexity of Kohn-Sham DFT, which scales cubically with the system size. Owing to the development of new-generation kinetic energy density functionals (KEDFs), orbital-free DFT…

Computational Physics · Physics 2020-08-24 Xuecheng Shao , Kaili Jiang , Wenhui Mi , Alessandro Genova , Michele Pavanello

Python is a particularly appealing language to carry out data analysis, owing in part to its user-friendly character as well as its access to well maintained and powerful libraries like NumPy and SciPy. Still, for the purpose of analyzing…

High Energy Physics - Lattice · Physics 2024-02-01 Luis Altenkort , David Anthony Clarke , Jishnu Goswami , Hauke Sandmeyer

Mesoscopic simulations of hydrocarbon flow in source shales are challenging, in part due to the heterogeneous shale pores with sizes ranging from a few nanometers to a few micrometers. Additionally, the sub-continuum fluid-fluid and…

Computational Physics · Physics 2019-09-13 Yidong Xia , Ansel Blumers , Zhen Li , Lixiang Luo , Yu-Hang Tang , Joshua Kane , Hai Huang , Matthew Andrew , Milind Deo , Jan Goral

Turbulent flow has been extensively studied using computational fluid dynamics (CFD) simulations since turbulent flow regime is so frequently encountered in both academic and engineering applications. The high-fidelity simulation of the…

Fluid Dynamics · Physics 2024-05-21 Minghan Chu

Convolutional neural networks (CNNs) have a large number of variables and hence suffer from a complexity problem for their implementation. Different methods and techniques have developed to alleviate the problem of CNN's complexity, such as…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Kamran Chitsaz , Mohsen Hajabdollahi , Nader Karimi , Shadrokh Samavi , Shahram Shirani

We present a scalable dissipative particle dynamics simulation code, fully implemented on the Graphics Processing Units (GPUs) using a hybrid CUDA/MPI programming model, which achieves 10-30 times speedup on a single GPU over 16 CPU cores…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-01 Yu-Hang Tang , George Em Karniadakis

Point-based Neural Networks (PNNs) have become a key approach for point cloud processing. However, a core operation in these models, Farthest Point Sampling (FPS), often introduces significant inference latency, especially for large-scale…

Machine Learning · Computer Science 2026-04-21 Yuzhe Fu , Hancheng Ye , Cong Guo , Junyao Zhang , Qinsi Wang , Yueqian Lin , Changchun Zhou , Hai , Li , Yiran Chen