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Kinetic approaches, i.e., methods based on the lattice Boltzmann equations, have long been recognized as an appealing alternative for solving incompressible Navier-Stokes equations in computational fluid dynamics. However, such approaches…

图形学 · 计算机科学 2018-07-09 Wei Li , Kai Bai , Xiaopei Liu

A computational fluid dynamics (CFD) simulation framework for fluid-flow prediction is developed on the Tensor Processing Unit (TPU) platform. The TPU architecture is featured with accelerated dense matrix multiplication, large high…

计算物理 · 物理学 2022-03-02 Qing Wang , Matthias Ihme , Yi-Fan Chen , John Anderson

Neural network observers (NNOs) are proposed for real-time estimation of fluid flows, addressing a key challenge in flow control: obtaining real-time flow states from a limited set of sparse and noisy sensor data. For this task, we propose…

流体动力学 · 物理学 2025-11-06 Tarcísio C. Déda , William R. Wolf , Scott T. M. Dawson , Brener L. O. Ramos

In the given paper, we confront three finite difference approximations to the Navier--Stokes equations for the two-dimensional viscous incomressible fluid flows. Two of these approximations were generated by the computer algebra assisted…

数值分析 · 数学 2015-08-28 P. Amodio , Yu. Blinkov , V. Gerdt , R. La Scala

This paper presents a new numerical method for the compressible Navier-Stokes equations governing the flow of an ideal isentropic gas. To approximate the continuity equation, the method utilizes a discontinuous Galerkin discretization on…

数值分析 · 数学 2012-06-21 Trygve K. Karper

The treatment of complex geometries in Computational Fluid Dynamics applications is a challenging endeavor, which immersed boundary and cut-cell techniques can significantly simplify by alleviating the meshing process required by…

In this paper we investigate a nonlinear fluid-structure interaction (FSI) problem involving the Navier-Stokes equations, which describe the flow of an incompressible, viscous fluid in a 3D domain interacting with a thin viscoelastic…

偏微分方程分析 · 数学 2024-09-24 Sunčica Čanić , Boris Muha , Krutika Tawri

A fully coupled implicit finite-volume algorithm for incompressible viscoelastic interfacial flows is proposed, whereby the viscoelasticity of the flow is described by an upper-convected Maxwell constitutive model, including limited…

流体动力学 · 物理学 2026-02-10 Ayman Mazloum , Gabriele Gennari , Fabian Denner , Berend van Wachem

The Navier-Stokes-Korteweg (NSK) equations are a classical diffuse-interface model for compressible two-phase flow. As direct numerical simulations based on the NSK system are quite expensive and in some cases even impossible, we consider a…

流体动力学 · 物理学 2015-12-15 Alina Chertock , Pierre Degond , Jochen Neusser

We consider a non-isothermal compositional gas liquid model for the simulation of well operations in geothermal processes. The model accounts for phase transitions assumed to be at thermodynamical equilibrium and is based on an…

数值分析 · 数学 2024-01-05 Daniel Castanon Quiroz , Laurent Jeannin , Simon Lopez , Roland Masson

Kinetic schemes for compressible flow of gases are constructed by exploiting the connection between Boltzmann equation and the Navier-Stokes equations. This connection allows us to construct a flux splitting for the Navier-Stokes equations…

数值分析 · 计算机科学 2015-06-11 Praveen Chandrashekar

We present a strong form, meshless point collocation explicit solver for the numerical solution of the transient, incompressible, viscous Navier-Stokes (N-S) equations in two dimensions. We numerically solve the governing flow equations in…

Discrete particle simulations are widely used to study large-scale particulate flows in complex geometries where particle-particle and particle-fluid interactions require an adequate representation but the computational cost has to be kept…

计算工程、金融与科学 · 计算机科学 2017-11-02 Christoph Rettinger , Ulrich Rüde

This paper presents a new method allowing for a numerical study of the interaction between a submerged solid structure and a current with surface waves. The method involves a Navier-Stokes equation solver for a two-fluid formulation with…

流体动力学 · 物理学 2022-09-01 Wojciech Aniszewski , Valentin Ageorges , Gaele Perret , Vincent Moureau

In this work, we study the implementation of electrically-driven flow (EDF) models in the finite-volume framework of $\text{OpenFOAM}^\circledR$. The Poisson-Nernst-Planck model is used for the transport of charged species and it is coupled…

流体动力学 · 物理学 2018-09-06 Francisco Pimenta , Manuel A. Alves

We investigate the fluctuating incompressible Navier--Stokes equation driven by spatially correlated thermal noise characterized by a single length scale. This formulation is constructed to preserve thermal equilibrium through the…

生物物理 · 物理学 2025-11-19 Sijie Huang , Ayush Saurabh , Steve Presse

We investigate generalized Navier-Stokes (GNS) equations that couple nonlinear advection with a generic linear instability. This analytically tractable minimal model for fluid flows driven by internal active stresses has recently been shown…

流体动力学 · 物理学 2020-04-10 Rohit Supekar , Vili Heinonen , Keaton J. Burns , Jörn Dunkel

We introduce Neural Conjugate Flows (NCF), a class of neural network architectures equipped with exact flow structure. By leveraging topological conjugation, we prove that these networks are not only naturally isomorphic to a continuous…

机器学习 · 计算机科学 2024-11-14 Arthur Bizzi , Lucas Nissenbaum , João M. Pereira

From the definition of a generalized conformable spatial derivative, an exponential conformable function with three parameters $(a,b,\alpha)$ is proposed for a viscous and an inertial-viscous steady-state Navier-Stokes 1D models, obtaining…

流体动力学 · 物理学 2021-03-30 M. Santos-Moreno , G. Fernández-Anaya , C. V Valencia-Negrete

We present Neural Stochastic Contraction Metrics (NSCM), a new design framework for provably-stable robust control and estimation for a class of stochastic nonlinear systems. It uses a spectrally-normalized deep neural network to construct…

机器学习 · 计算机科学 2021-01-05 Hiroyasu Tsukamoto , Soon-Jo Chung , Jean-Jacques E. Slotine