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Computational fluid dynamics is both a thriving research field and a key tool for advanced industry applications. The central challenge is to simulate turbulent flows in complex geometries, a compute-power intensive task due to the large…

This paper proposes a scalable lattice-Boltzmann computational framework (SBoTFlow) for simulations of flexible moving objects in an incompressible fluid flow. Behavior of fluid flow formed from moving boundaries of flexible-object motions…

Fluid Dynamics · Physics 2024-02-08 Duc V. Nguyen , Dung V. Duong

The article describes parallel multiphysics simulations of charged particles in microfluidic flows with the waLBerla framework. To this end, three physical effects are coupled: rigid body dynamics, fluid flow modelled by a lattice Boltzmann…

Computational Engineering, Finance, and Science · Computer Science 2014-10-27 Dominik Bartuschat , Ulrich Rüde

The immersed boundary (IB) method is a mathematical framework for fluid-structure interaction problems (FSI) that was originally developed to simulate flows around heart valves. Direct comparison of FSI simulations around heart valves…

Mixed-dimensional mathematical models for flow in fractured media have been prevalent in the modeling community for almost two decades, utilizing the explicit representation of fractures by lower-dimensional manifolds embedded in the…

Simulation of the cosmic clustering of massive neutrinos is a daunting task, due both to their large velocity dispersion and to their weak clustering power becoming swamped by Poisson shot noise. We present a new approach, the multi-fluid…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-23 Joe Zhiyu Chen , Markus R. Mosbech , Amol Upadhye , Yvonne Y. Y. Wong

Computer simulations of blood flow in patients with anomalous aortic origin of a coronary artery (AAOCA) have the promise to provide insight into this complex disease. They provide an in-silico experimental platform to explore possible…

Tissues and Organs · Quantitative Biology 2024-05-06 Charles Puelz , Craig G. Rusin , Dan Lior , Shagun Sachdeva , Tam T. Doan , Lindsay F. Eilers , Dana Reaves-O'Neal , Silvana Molossi

We consider a system of nonlinear partial differential equations describing the motion of an incompressible chemically reacting generalized Newtonian fluid in three space dimensions. The governing system consists of a steady…

Numerical Analysis · Mathematics 2017-08-29 Seungchan Ko , Endre Suli

High-order finite element methods (HO-FEM) are gaining popularity in the simulation community due to their success in solving complex flow dynamics. There is an increasing need to analyze the data produced as output by these simulations.…

Computational Engineering, Finance, and Science · Computer Science 2019-07-18 Ashok Jallepalli , Joshua A. Levine , Robert M. Kirby

Crashing ocean waves, cappuccino froths and microfluidic bubble crystals are examples of foamy flows. Foamy flows are critical in numerous natural and industrial processes and remain notoriously difficult to compute as they involve coupled,…

Computational Physics · Physics 2022-02-04 Petr Karnakov , Sergey Litvinov , Petros Koumoutsakos

We present a computational framework for the simulation of blood flow with fully resolved red blood cells (RBCs) using a modular approach that consists of a lattice Boltzmann solver for the blood plasma, a novel finite element based solver…

Computational Physics · Physics 2019-08-28 Christos Kotsalos , Jonas Latt , Bastien Chopard

We propose a new adequacy test and a graphical evaluation tool for nonlinear dynamic models. The proposed techniques can be applied in any setup where parametric conditional distribution of the data is specified, in particular to models…

Statistics Theory · Mathematics 2017-06-02 Igor L. Kheifets

In this work, we present the modelling and numerical simulation of a molten glass fluid flow in a furnace melting basin. We first derive a model for a molten glass fluid flow and present numerical simulations based on the Finite Element…

Fluid Dynamics · Physics 2024-07-24 Francesco Ballarin , Enrique Delgado Ávila , Andrea Mola , Gianluigi Rozza

We present a novel framework to explore neural control and design of complex fluidic systems with dynamic solid boundaries. Our system features a fast differentiable Navier-Stokes solver with solid-fluid interface handling, a…

Fluid Dynamics · Physics 2024-11-04 Yifei Li , Yuchen Sun , Pingchuan Ma , Eftychios Sifakis , Tao Du , Bo Zhu , Wojciech Matusik

Respecting the laws of thermodynamics is crucial for ensuring that numerical simulations of dynamical systems deliver physically relevant results. In this paper, we construct a structure-preserving and thermodynamically consistent finite…

Numerical Analysis · Mathematics 2024-09-23 Evan S. Gawlik , François Gay-Balmaz

Computational fluid dynamics (CFD) is increasingly used to study blood flows in patient-specific arteries for understanding certain cardiovascular diseases. The techniques work quite well for relatively simple problems, but need…

Computational Physics · Physics 2018-10-11 Fande Kong , Vitaly Kheyfets , Ender Finol , Xiao-Chuan Cai

This study established a quantum-classical hybrid framework that integrates quantum computing paradigm with meshfree finite particle method. By harnessing quantum superposition and entanglement, it hybridized the critical computational…

Fluid Dynamics · Physics 2025-09-16 Yudong Li , Wenkui Shi , Yan Li , Chunfa Wang , Ling Tao , Zhuojia Fu , Moubin Liu , Zhiqiang Feng

This document gives guidelines to set up, run, and postprocess correct simulations with the finite element method. It is not an introduction to the method itself, but rather a list of things to check and possible mistakes to watch out for…

Numerical Analysis · Computer Science 2018-11-15 Martin Bäker

Predicting the outcome of jet-milling based on the knowledge of process parameters and starting material properties is a task still far from being accomplished. Given the technical difficulties in measuring thermodynamics, flow properties…

Computational Physics · Physics 2025-09-10 Simone Bnà , Raffaele Ponzini , Mirko Cestari , Carlo Cavazzoni , Ciro Cottini , Andrea Benassi

In this article, I present recent methods for the numerical simulation of fluid dynamics and the associated computational algorithms. The goal of this article is to explain how to model an incompressible fluid, and how to write a computer…

Computational Physics · Physics 2018-11-15 Bruno Levy
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