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A volume penalization-based immersed boundary technique is developed and thoroughly validated for fluid flow problems, specifically flow over bluff bodies. The proposed algorithm has been implemented in an Open Source Field Operation and…

流体动力学 · 物理学 2023-09-19 Prashant Kumar , Vivek Kumar , Di Chen , Yosuke Hasegawa

A dynamical systems approach to turbulence envisions the flow as a trajectory through a high-dimensional state space transiently visiting the neighbourhoods of unstable simple invariant solutions (E. Hopf, Commun. Appl. Maths 1, 303, 1948).…

流体动力学 · 物理学 2023-11-15 Jacob Page , Peter Norgaard , Michael P. Brenner , Rich R. Kerswell

A proven methodology to solve multiphase flows is based on the one-fluid formulation of the governing equations, which treats the phase transition across the interface as a single fluid with varying properties and adds additional source…

流体动力学 · 物理学 2025-01-08 Jordi Poblador-Ibanez , Nicolas Valle , Bendiks Jan Boersma

This article provides a reduced-order modelling framework for turbulent compressible flows discretized by the use of finite volume approaches. The basic idea behind this work is the construction of a reduced-order model capable of providing…

流体动力学 · 物理学 2024-05-31 Matteo Zancanaro , Valentin Nkana Ngan , Giovanni Stabile , Gianluigi Rozza

Complicated boundary conditions are essential to accurately describe phenomena arising in nature and engineering. Recently, the investigation of a potential speedup through quantum algorithms in simulating the governing ordinary and partial…

量子物理 · 物理学 2025-06-30 Philipp Schleich , Tyler Kharazi , Xiangyu Li , Jin-Peng Liu , Alán Aspuru-Guzik , Nathan Wiebe

This paper synthesizes anytime algorithms, in the form of continuous-time dynamical systems, to solve monotone variational inequalities. We introduce three algorithms that solve this problem: the projected monotone flow, the safe monotone…

最优化与控制 · 数学 2025-02-18 Ahmed Allibhoy , Jorge Cortés

This paper presents a spatially and temporally adaptive boundary condition to specify the volumetric flux for lattice Boltzmann methods. The approach differs from standard velocity boundary conditions because it allows the velocity to vary…

计算物理 · 物理学 2018-06-28 James E. McClure , Zhe Li , Adrian P. Sheppard , Cass T. Miller

We develop a general strategy in order to implement (approximate) discrete transparent boundary conditions for finite difference approximations of the two-dimensional transport equation. The computational domain is a rectangle equipped with…

偏微分方程分析 · 数学 2019-09-12 Christophe Besse , Jean-François Coulombel , Pascal Noble

A stable partitioned algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and rigid bodies. This {\em added-mass partitioned} (AMP) algorithm remains stable, without sub-iterations, for…

数值分析 · 数学 2017-06-07 J. W. Banks , W. D. Henshaw , D. W. Schwendeman , Qi Tang

The aim of this paper is to present a kinetic numerical scheme for the computations of transient pressurised flows in closed water pipes with variable sections. Firstly, we detail the derivation of the mathematical model in curvilinear…

偏微分方程分析 · 数学 2008-12-02 Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

A novel reduced-order model (ROM) formulation for incompressible flows is presented with the key property that it exhibits non-linearly stability, independent of the mesh (of the full order model), the time step, the viscosity, and the…

数值分析 · 数学 2020-08-12 B. Sanderse

The 3D incompressible Euler equations in a bounded domain are most often supplemented with impermeable boundary conditions, which constrain the fluid to neither enter nor leave the domain. We establish well-posedness with inflow, outflow of…

偏微分方程分析 · 数学 2024-12-19 Gung-Min Gie , James P. Kelliher , Anna L. Mazzucato

Employing physically-consistent numerical methods is an important step towards attaining robust and accurate numerical simulations. When addressing compressible flows, in addition to preserving kinetic energy at a discrete level, as done in…

流体动力学 · 物理学 2024-08-13 Carlo De Michele , Gennaro Coppola

The computational cost of parametric studies currently represents the major limitation to the application of simulation-based engineering techniques in a daily industrial environment. This work presents the first nonintrusive implementation…

Based on energy considerations, we derive a class of dynamic outflow boundary conditions for the incompressible Navier-Stokes equations, containing the well-known convective boundary condition but incorporating also the stress at the…

偏微分方程分析 · 数学 2017-08-29 Dieter Bothe , Takahito Kashiwabara , Matthias Köhne

In this study we revisit the problem of computing steady Navier-Stokes flows in two-dimensional unbounded domains. Precise quantitative characterization of such flows in the high-Reynolds number limit remains an open problem of theoretical…

流体动力学 · 物理学 2015-01-26 Jonathan Gustafsson , Bartosz Protas

We present the method for computation of fluid flows that are characterized by the large degree of expansion/contraction and in which the fluid velocity is dominated by the bulk component associated with the expansion/contraction and/or…

天体物理学 · 物理学 2015-06-24 A. Y. Poludnenko , A. M. Khokhlov

In this work, we present a high-order finite volume framework for the numerical simulation of shallow water flows. The method is designed to accurately capture complex dynamics inherent in shallow water systems, particularly suited for…

A fully implicit high-order preconditioned flux reconstruction/correction procedure via reconstruction (FR/CPR) method is developed to solve the compressible Navier-Stokes equations at low Mach numbers. A dual-time stepping approach with…

计算物理 · 物理学 2019-10-23 Lai Wang , Meilin Yu

The proposed method aims to approximate a solution of a fluid-fluid interaction problem in case of low viscosities. The nonlinear interface condition on the joint boundary allows for this problem to be viewed as a simplified version of the…

数值分析 · 数学 2020-04-22 Mustafa Aggul , Fatma G. Eroglu , Songül Kaya , Alexander E. Labovsky