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High-order time-stepping schemes are crucial for simulating incompressible fluid flows due to their ability to capture complex turbulent behavior and unsteady motion. In this work, we propose a third-order accurate numerical scheme for the…

数值分析 · 数学 2025-12-22 Kelong Cheng , Jingwei Sun , Hong Zhang

The analysis of the Reynolds Stress Transport Equation (RSTE) provides fundamental physical insights that are essential for the development and validation of advanced turbulence models. However, a comprehensive and validated tool for…

流体动力学 · 物理学 2025-11-07 Mario J. Rincón , Christoffer Hansen , Martino Reclari , Mahdi Abkar

A hybrid RANS/LES framework is developed based on a recently proposed Improved Delayed Detached Eddy Simulation (IDDES) model combined with a variant of recycling and rescaling method of generating inflow turbulence. This framework was…

流体动力学 · 物理学 2014-08-06 Sunil K. Arolla

Natural ventilation is gaining popularity in response to an increasing demand for a sustainable and healthy built environment, but the design of a naturally ventilated building can be challenging due to the inherent variability in the…

流体动力学 · 物理学 2023-02-09 Yunjae Hwang , Catherine Gorlé

In this paper, we first propose a filter-based continuous Ensemble Eddy Viscosity (EEV) model for stochastic turbulent flow problems. We then propose a generic algorithm for a family of fully discrete, grad-div regularized, efficient…

We construct high-order semi-discrete-in-time and fully discrete (with Fourier-Galerkin in space) schemes for the incompressible Navier-Stokes equations with periodic boundary conditions, and carry out corresponding error analysis. The…

数值分析 · 数学 2021-03-23 Fukeng Huang , Jie Shen

High-order discretizations of partial differential equations (PDEs) necessitate high-order time integration schemes capable of handling both stiff and nonstiff operators in an efficient manner. Implicit-explicit (IMEX) integration based on…

数值分析 · 数学 2022-01-19 Steven Roberts , Arash Sarshar , Adrian Sandu

We develop a new numerical technique for approximating solutions of the Navier-Stokes equations on moving domains. The method aims at simulating an incompressible fluid past an object whose motion is assigned a priori using a level-set…

数值分析 · 数学 2026-03-23 Hridya Dilip , Clarissa Astuto , Armando Coco , Giovanni Russo

Measurement techniques such as Magnetic Resonance Velocimety (MRV) and Magnetic Resonance Concentration (MRC) are useful for obtaining 3D time-averaged flow quantities in complex turbulent flows, but cannot measure turbulent correlations or…

Immersed methods discretize boundary conditions for complex geometries on background Cartesian grids. This makes such methods especially suitable for two-way coupled flow-body problems, where the body mechanics are partially driven by…

流体动力学 · 物理学 2025-04-01 Xinjie Ji , James Gabbard , Wim M. van Rees

Sliding meshes are a powerful method to treat deformed domains in computational fluid dynamics, where different parts of the domain are in relative motion. In this paper, we present an efficient implementation of a sliding mesh method into…

计算工程、金融与科学 · 计算机科学 2022-12-21 Jakob Dürrwächter , Marius Kurz , Patrick Kopper , Daniel Kempf , Claus-Dieter Munz , Andrea Beck

Complexity has gained recent attention in machine learning for its ability to extract synthetic information from large datasets. Complex dynamical systems are characterized by temporal complexity associated with intermittent birth-death…

计算物理 · 物理学 2026-05-27 Marco Cafiso , Paolo Paradisi

In this paper, we study a time discrete scheme for the initial value problem of the ES-BGK kinetic equation. Numerically solving these equations are challenging due to the nonlinear stiff collision (source) terms induced by small mean free…

数值分析 · 数学 2010-04-01 Francis Filbet , Shi Jin

Direct numerical simulation (DNS) of turbulent flows is computationally expensive and cannot be applied to flows with large Reynolds numbers. Large eddy simulation (LES) is an alternative that is computationally less demanding, but is…

流体动力学 · 物理学 2021-09-09 Shengyu Chen , Shervin Sammak , Peyman Givi , Joseph P. Yurko1 , Xiaowei Jia

Finding an appropriate turbulence model for a given flow case usually calls for extensive experimentation with both models and numerical solution methods. This work presents the design and implementation of a flexible, programmable software…

计算工程、金融与科学 · 计算机科学 2011-07-21 Mikael Mortensen , Hans Petter Langtangen , Garth N. Wells

We propose a new neural network based large eddy simulation framework for the incompressible Navier-Stokes equations based on the paradigm "discretize first, filter and close next". This leads to full model-data consistency and allows for…

数值分析 · 数学 2024-11-20 Syver Døving Agdestein , Benjamin Sanderse

We propose a method for the data-driven inference of temporal evolutions of physical functions with deep learning. More specifically, we target fluid flows, i.e. Navier-Stokes problems, and we propose a novel LSTM-based approach to predict…

机器学习 · 计算机科学 2019-03-06 Steffen Wiewel , Moritz Becher , Nils Thuerey

Deep learning (DL) has recently emerged as a candidate for closure modeling of large-eddy simulation (LES) of turbulent flows. High-fidelity training data is typically limited: it is computationally costly (or even impossible) to…

流体动力学 · 物理学 2023-03-07 Justin Sirignano , Jonathan F. MacArt

This study presents an efficient algebraic scheme known as MULES for sharp interface advection, verified against various schemes including first-order upwind, second-order central, van Leer flux limiter, and Geometric Volume-of-Fluid (VOF).…

流体动力学 · 物理学 2024-10-23 Mehran Sharifi

We develop an efficient, unconditionally stable, variable step second order exponential time differencing scheme for the incompressible Navier Stokes equations in two and three spatial dimensions under periodic boundary conditions, together…

数值分析 · 数学 2026-02-24 Haifeng Wang , Xiaoming Wang , Min Zhang
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