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We perform a systematic comparison of various numerical schemes for the approximation of interface problems. We consider unfitted approaches in view of their application to possibly moving configurations. Particular attention is paid to the…

Numerical Analysis · Mathematics 2023-04-25 Daniele Boffi , Andrea Cangiani , Marco Feder , Lucia Gastaldi , Luca Heltai

We introduce a general-purpose framework for interconnecting scientific simulation programs using a homogeneous, unified interface. Our framework is intrinsically parallel, and conveniently separates all component numerical modules in…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Simon Portegies Zwart , Steve McMillan , Arjen van Elteren , Inti Pelupessy , Nathan de Vries

Robustly handling collisions between individual particles in a large particle-based simulation has been a challenging problem. We introduce particle merging-and-splitting, a simple scheme for robustly handling collisions between particles…

Graphics · Computer Science 2021-07-20 Nghia Truong , Cem Yuksel , Chakrit Watcharopas , Joshua A. Levine , Robert M. Kirby

Current supercomputers often have a heterogeneous architecture using both CPUs and GPUs. At the same time, numerical simulation tasks frequently involve multiphysics scenarios whose components run on different hardware due to multiple…

Computational Engineering, Finance, and Science · Computer Science 2024-12-10 Samuel Kemmler , Christoph Rettinger , Ulrich Rüde , Pablo Cuéllar , Harald Köstler

We present a loosely-coupled partitioned scheme for a benchmark problem in fluid-composite structure interaction. The benchmark problem proposed here consists of an incompressible, viscous fluid interacting with a composite structure that…

Numerical Analysis · Mathematics 2015-06-18 Martina Bukac , Suncica Canic , Boris Muha

Many problems of interest for cyber-physical network systems can be formulated as Mixed Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithm to solve this class…

Optimization and Control · Mathematics 2017-12-06 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

In this work, a new partition-collocation strategy for the parallel execution of CFD--DEM couplings is investigated. Having a good parallel performance is a key issue for an Eulerian-Lagrangian software that aims to be applied to solve…

Computational Engineering, Finance, and Science · Computer Science 2018-10-09 Gabriele Pozzetti , Xavier Besseron , Alban Rousset , Bernhard Peters

In this paper, we consider the coupled N/TH problem, in which the termination criterion for the neutronics iteration adopts an adaptive tolerance with respect to the fuel temperature residual at each Picard iteration. We refer to this…

Numerical Analysis · Mathematics 2023-08-01 Dean Wang , Paul K. Romano

We investigate fusing several unreliable computational units that perform the same task. We model an unreliable computational outcome as an additive perturbation to its error-free result in terms of its fidelity and cost. We analyze…

Performance · Computer Science 2017-05-23 Mehmet A. Donmez , Maxim Raginsky , Andrew C. Singer , Lav R. Varshney

Blood flow, dam or ship construction and numerous other problems in biomedical and general engineering involve incompressible flows interacting with elastic structures. Such interactions heavily influence the deformation and stress states…

Computational Engineering, Finance, and Science · Computer Science 2021-12-17 R. Schussnig , D. R. Q. Pacheco , T. -P. Fries

In this paper, we present a multiple-time-step integration algorithm (MTSA) for particle collisions in particle-resolved simulations. Since the time step required for resolving a collision process is much smaller than that for a fluid flow,…

Fluid Dynamics · Physics 2023-03-28 Zhengping Zhu , Ruifeng Hu , Xiaojing Zheng

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

In the context of mapping high-level algorithms to hardware, we consider the basic problem of generating an efficient hardware implementation of a single threaded program, in particular, that of an inner loop. We describe a control-flow…

Hardware Architecture · Computer Science 2014-11-05 Madhav Desai

This paper explores an iterative coupling approach to solve linear thermo-poroelasticity problems, with its application as a high-fidelity discretization utilizing finite elements during the training of projection-based reduced order…

Numerical Analysis · Mathematics 2024-01-08 Francesco Ballarin , Sanghyun Lee , Son-Young Yi

We present a method for computing fluid-structure interaction problems for multi-body systems. The fluid flow equations are solved using a fractional-step method with the immersed boundary method proposed by Uhlmann [J. Comput Phys. 209…

We present a loosely coupled scheme for the numerical simulation of the cardiac electro-fluid-structure interaction problem, whose solution is typically computationally intensive due to the need to suitably treat the coupling of the…

Numerical Analysis · Mathematics 2023-08-09 Michele Bucelli , Martin Geraint Gabriel , Giacomo Gigante , Alfio Quarteroni , Christian Vergara

The present paper deals with the problem of improving the efficiency of large scale turbulent flow simulations. The high-fidelity methods for modelling turbulent flows become available for a wider range of applications thanks to the…

Computational Physics · Physics 2018-04-10 Boris Krasnopolsky

The linked cell list algorithm is an essential part of molecular simulation software, both molecular dynamics and Monte Carlo. Though it scales linearly with the number of particles, there has been a constant interest in increasing its…

Computational Physics · Physics 2013-03-19 Ulrich Welling , Guido Germano

We consider the coupled system of equations that describe flow in fractured porous media. To describe such types of problems, multicontinuum and multiscale approaches are used. Because in multicontinuum models, the permeability of each…

Numerical Analysis · Mathematics 2023-05-31 Maria Vasilyeva

We present a methodology for simulating dilute suspensions of particles settling under gravity, with the main purpose of overcoming limitations of triply periodic configurations, mainly the strong vertical correlation that hinders the study…

Fluid Dynamics · Physics 2026-04-24 M. Moriche , M. García-Villalba , M. Uhlmann