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Scale-out parallel processing based on MPI is a 25-year-old standard with at least another decade of preceding history of enabling technologies in the High Performance Computing community. Newer frameworks such as MapReduce, Hadoop, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-18 Brandon L. Morris , Anthony Skjellum

Comprehending the performance bottlenecks at the core of the intricate hardware-software interactions exhibited by highly parallel programs on HPC clusters is crucial. This paper sheds light on the issue of automatically asynchronous MPI…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-06 Ayesha Afzal , Georg Hager , Stefano Markidis , Gerhard Wellein

The paper describes an improved parallel MPI-based implementation of VBARMS, a variable block variant of the pARMS preconditioner proposed by Li,~Saad and Sosonkina [NLAA, 2003] for solving general nonsymmetric linear systems. The parallel…

Numerical Analysis · Mathematics 2015-08-11 Bruno Carpentieri , Jia Liao , Masha Sosonkina , Aldo Bonfiglioli

Machine Learning and Data Mining (MLDM) algorithms are becoming increasingly important in analyzing large volume of data generated by simulations, experiments and mobile devices. With increasing data volume, distributed memory systems (such…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-21 Abhinav Vishnu , Charles Siegel , Jeffrey Daily

Writing efficient distributed code remains a labor-intensive and complex endeavor. To simplify application development, the Flexible Computational Science Infrastructure (FleCSI) framework offers a user-oriented, high-level programming…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-06 Alexander Strack , Hartmut Kaiser , Dirk Pflüger

In this paper we construct new fully decoupled and high-order implicit-explicit (IMEX) schemes for the two-phase incompressible flows based on the new generalized scalar auxiliary variable approach with optimal energy approximation…

Numerical Analysis · Mathematics 2023-11-10 Xiaoli Li , Nan Zheng , Jie Shen , Zhengguang Liu

Dynamic scaling aims to elastically change the number of processes during runtime to tune the performance of the distributed applications. This report briefly presents a performance evaluation of MPI process provisioning / de-provisioning…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-01 Masatoshi Hanai , Georgios Theodoropoulos

We present a space-time Cut Finite Element Method (CutFEM) for the time-dependent Navier-Stokes equations involving two immiscible incompressible fluids with different viscosities, densities, and with surface tension. The numerical method…

Numerical Analysis · Mathematics 2019-03-27 Thomas Frachon , Sara Zahedi

Using High-Performance Computing (HPC), Computational Fluid Dynamics (CFD) now serves as an essential component in defense-related national security applications including missile interception and hypersonic propulsion as well as naval…

Computational Engineering, Finance, and Science · Computer Science 2025-05-01 James Afful

We present an adaptive finite element method for the incompressible Navier--Stokes equations based on a standard splitting scheme (the incremental pressure correction scheme). The presented method combines the efficiency and simplicity of a…

Numerical Analysis · Mathematics 2012-05-15 Kristoffer Selim , Anders Logg , Mats G. Larson

We present a fully-coupled, implicit-in-time framework for solving a thermodynamically-consistent Cahn-Hilliard Navier-Stokes system that models two-phase flows. In this work, we extend the block iterative method presented in Khanwale et…

The nuclear community has coupled several three-dimensional Computational Fluid Dynamics (CFD) solvers with one-dimensional system thermal-hydraulic (STH) codes. This work proposes to replace the CFD solver by a reduced order model (ROM) to…

Fluid Dynamics · Physics 2020-10-21 S. Kelbij Star , Giuseppe Spina , Francesco Belloni , Joris Degroote

In this paper, we study a diffuse interface model for two-phase immiscible flows coupled by Navier-Stokes equations and mass-conserving Allen-Cahn equations. The contact line (the intersection of the fluid-fluid interface with the solid…

Analysis of PDEs · Mathematics 2025-03-12 Yinghua Li , Yuanxiang Yan , Xijun Yin

We present a set of programming tools (classes and functions written in C++ and based on Message Passing Interface) for fast development of generic parallel (and non-parallel) lattice simulations. They are collectively called MDP 1.2. These…

High Energy Physics - Lattice · Physics 2009-10-31 Massimo Di Pierro

The complexity of combustion simulations demands the latest high-performance computing tools to accelerate its time-to-solution results. A current trend on HPC systems is the utilization of CPUs with SIMD or vector extensions to exploit…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-24 Fabio Banchelli , Guillermo Oyarzun , Marta Garcia-Gasulla , Filippo Mantovani , Ambrus Both , Guillaume Houzeaux , Daniel Mira

We present an efficient discontinuous Galerkin scheme for simulation of the incompressible Navier-Stokes equations including laminar and turbulent flow. We consider a semi-explicit high-order velocity-correction method for time integration…

Numerical Analysis · Mathematics 2017-08-15 Benjamin Krank , Niklas Fehn , Wolfgang A. Wall , Martin Kronbichler

For problems involving large deformations of thin structures, simulating fluid-structure interaction (FSI) remains challenging largely due to the need to balance computational feasibility, efficiency, and solution accuracy. Overlapping…

Computational Engineering, Finance, and Science · Computer Science 2020-03-18 Maximilian Balmus , Andre Massing , Johan Hoffman , Reza Razavi , David Nordsletten

We present an efficient solver for massively-parallel direct numerical simulations of incompressible turbulent flows. The method uses a second-order, finite-volume pressure-correction scheme, where the pressure Poisson equation is solved…

Fluid Dynamics · Physics 2019-09-13 Pedro Costa

Stochastic, spatial reaction-diffusion simulations have been widely used in systems biology and computational neuroscience. However, the increasing scale and complexity of simulated models and morphologies have exceeded the capacity of any…

Quantitative Methods · Quantitative Biology 2016-10-10 Weiliang Chen , Erik De Schutter

Symplectic integrators offer vastly superior performance over traditional numerical techniques for conservative dynamical systems, but their application to \emph{dissipative} systems is inherently difficult due to dissipative systems' lack…