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Multidimensional scaling (MDS) is a popular dimensionality reduction techniques that has been widely used for network visualization and cooperative localization. However, the traditional stress minimization formulation of MDS necessitates…

Optimization and Control · Mathematics 2016-12-22 Ketan Rajawat , Sandeep Kumar

In this study, a fast and stable machine-learned hybrid algorithm implemented in TensorFlow for the integration of stiff chemical kinetics is introduced. Numerical solutions to differential equations are at the core of computational fluid…

Computational Physics · Physics 2019-06-25 Kyle Buchheit , Opeoluwa Owoyele , Terry Jordan , Dirk Van Essendelft

Scaling up new scientific technologies from laboratory to industry often involves demonstrating performance on a larger scale. Computer simulations can accelerate design and predictions in the deployment process, though traditional…

The dynamics of membranes, shells and capsules in fluid flow has become an active research area in computational physics and computational biology. The small thickness of these elastic materials enables their efficient approximation as a…

Computational Physics · Physics 2020-10-28 Marcel Mokbel , Sebastian Aland

The current trend of multicore architectures on shared memory systems underscores the need of parallelism. While there are some programming model to express parallelism, thread programming model has become a standard to support these system…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-12-13 D. T. Hasta , A. B. Mutiara

A hybrid scheme that utilizes MPI for distributed memory parallelism and OpenMP for shared memory parallelism is presented. The work is motivated by the desire to achieve exceptionally high Reynolds numbers in pseudospectral computations of…

Computational Physics · Physics 2010-03-24 Pablo D. Mininni , Duane L. Rosenberg , Raghu Reddy , Annick Pouquet

The performance of biomolecular molecular dynamics simulations has steadily increased on modern high performance computing resources but acceleration of the analysis of the output trajectories has lagged behind so that analyzing simulations…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-31 Mahzad Khoshlessan , Ioannis Paraskevakos , Geoffrey C. Fox , Shantenu Jha , Oliver Beckstein

We study efficient simulation of steady state for rarefied gas flow, which is modeled by the Boltzmann equation with BGK-type collision term. A nonlinear multigrid solver is proposed to resolve the efficiency issue by the following…

Numerical Analysis · Mathematics 2022-06-28 Zhicheng Hu , Guanghan Li

A multigrid scheme is proposed for the pressure equation of the incompressible unsteady fluid flow equations, allowing efficient implementation on clusters of modern CPUs, many integrated core devices (MICs), and graphics processing units…

Numerical Analysis · Mathematics 2014-08-19 György Tegze , Gyula I. Tóth

High-fidelity flow simulations are indispensable when analyzing systems exhibiting multiphase flow phenomena. The accuracy of multiphase flow simulations is strongly contingent upon the finest mesh resolution used to represent the…

Computational Physics · Physics 2023-04-05 Kumar Saurabh , Masado Ishii , Makrand A. Khanwale , Hari Sundar , Baskar Ganapathysubramanian

Artificial intelligence-based three-dimensional(3D) fluid modeling has gained significant attention in recent years. However, the accuracy of such models is often limited by the processing of irregular flow data. In order to bolster the…

Fluid Dynamics · Physics 2023-07-17 Xin Li , Zhiwen Deng , Rui Feng , Ziyang Liu , Renkun Han , Hongsheng Liu , Gang Chen

We present a 3D finite element solver for the nonlinear Poisson-Nernst-Planck (PNP) equations for electrodiffusion, coupled to the Stokes system of fluid dynamics. The model serves as a building block for the simulation of macromolecule…

Computational Physics · Physics 2017-04-05 Gregor Mitscha-Baude , Andreas Buttinger-Kreuzhuber , Gerhard Tulzer , Clemens Heitzinger

Accelerated gradient methods are the cornerstones of large-scale, data-driven optimization problems that arise naturally in machine learning and other fields concerning data analysis. We introduce a gradient-based optimization framework for…

Optimization and Control · Mathematics 2022-03-22 Param Budhraja , Mayank Baranwal , Kunal Garg , Ashish Hota

With multi-core processors a ubiquitous building block of modern supercomputers, it is now past time to enable applications to embrace these developments in processor design. To achieve exascale performance, applications will need ways of…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-13 Michele Weiland , Lawrence Mitchell , Gerard Gorman , Stephan Kramer , Mark Parsons , James Southern

The design of fluid channel structures of reactors or separators of chemical processes is key to enhancing the mass transfer processes inside the devices. However, the systematic design of channel topological structures is difficult for…

Fluid Dynamics · Physics 2025-03-07 Chenhui Kou , Yuhui Yin , Min Zhu , Shengkun Jia , Yiqing Luo , Xigang Yuana , Lu Lu

We report on the latest additions to our open-source, block-grid adaptive framework MPI-AMRVAC, which is a general toolkit for especially hyperbolic/parabolic partial differential equations (PDEs). Applications traditionally focused on…

Instrumentation and Methods for Astrophysics · Physics 2020-04-08 Rony Keppens , Jannis Teunissen , Chun Xia , Oliver Porth

Given the growing concern of reducing CO2 emissions, it is desirable to identify, for a given separation carried out through a membrane cascade, the optimum design that yields the lowest energy consumption. Nevertheless, designing a…

Optimization and Control · Mathematics 2021-02-11 Jose Adrian Chavez Velasco , Radhakrishna Tumbalam Gooty , Mohit Tawarmalani , Rakesh Agrawal

Particle tracking in large-scale numerical simulations of turbulent flows presents one of the major bottlenecks in parallel performance and scaling efficiency. Here, we describe a particle tracking algorithm for large-scale parallel…

Fluid Dynamics · Physics 2022-05-31 Cristian C. Lalescu , Bérenger Bramas , Markus Rampp , Michael Wilczek

Efficient particle sorting in microfluidic systems is vital for advancements in biomedical diagnostics and industrial applications. This study numerically investigates particle migration and passive sorting in symmetric serpentine…

Fluid Dynamics · Physics 2025-09-16 Sayan Karmakar , Anish Pal , Sourav Sarkar , Achintya Mukhopadhyay

This paper introduces a novel optimization framework for deep neural network (DNN) hardware accelerators, enabling the rapid development of customized and automated design flows. More specifically, our approach aims to automate the…

Machine Learning · Computer Science 2023-11-08 Zhiqiang Que , Shuo Liu , Markus Rognlien , Ce Guo , Jose G. F. Coutinho , Wayne Luk