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Quadrature-based moment-closure methods are a class of approximations that replace high-dimensional kinetic descriptions with lower-dimensional fluid models. In this work we investigate some of the properties of a sub-class of these methods…

数值分析 · 数学 2013-10-17 Yongtao Cheng , James A. Rossmanith

Accurate prediction of aerothermal loads in hypersonic flows is critical yet challenging due to the coupling of Shock-Wave/Boundary-Layer Interactions (SBLI) and thermal non-equilibrium. This work presents the development of a…

流体动力学 · 物理学 2026-02-10 Xingjian Gao , Hualin Liu , Fengxiang Zhao , Xing Ji

Simulating multiscale flows with moving boundaries, such as hypersonic multi-body separation and flows in micro-electro-mechanical systems (MEMS), requires robust numerical methods that couple mesh deformation with complex flow physics.…

流体动力学 · 物理学 2026-04-14 Yue Zhang , Wenpei Long , Junzhe Cao , Kun Xu

The transition from laminar to turbulent flow is an immensely important topic that is still being studied. Here we show that complex plasmas, i.e., microparticles immersed in a low temperature plasma, make it possible to study the…

等离子体物理 · 物理学 2024-01-30 Eshita Joshi , Markus H Thoma , Mierk Schwabe

The coupling effects in multiphysics processes are often neglected in designing multiscale methods. The coupling may be described by a non-positive definite operator, which in turn brings significant challenges in multiscale simulations. In…

数值分析 · 数学 2024-01-05 Xiaofei Guan , Lijian Jiang , Yajun Wang

Mixtures of fluids and granular sediments play an important role in many industrial, geotechnical, and aerospace engineering problems, from waste management and transportation (liquid--sediment mixtures) to dust kick-up below helicopter…

计算工程、金融与科学 · 计算机科学 2021-07-07 Aaron S. Baumgarten , Benjamin L. S. Couchman , Ken Kamrin

This is the second paper in a series in which we develop machine learning (ML) moment closure models for the radiative transfer equation (RTE). In our previous work \cite{huang2021gradient}, we proposed an approach to directly learn the…

数值分析 · 数学 2021-06-01 Juntao Huang , Yingda Cheng , Andrew J. Christlieb , Luke F. Roberts , Wen-An Yong

In this article, we introduce a modular hybrid analysis and modeling (HAM) approach to account for hidden physics in reduced order modeling (ROM) of parameterized systems relevant to fluid dynamics. The hybrid ROM framework is based on…

计算物理 · 物理学 2020-04-22 Suraj Pawar , Shady E. Ahmed , Omer San , Adil Rasheed

We simulate complex fluids by means of an on-the-fly coupling of the bulk rheology to the underlying microstructure dynamics. In particular, a macroscopic continuum model of polymeric fluids is constructed without a pre-specified…

计算物理 · 物理学 2020-05-13 Lifei Zhao , Zhen Li , Bruce Caswell , Jie Ouyang , George Em Karniadakis

The lattice Boltzmann method (LBM) has experienced tremendous advances and been well accepted as a popular method of simulation of various fluid flow mechanisms on pore scale in tight formations. With the introduction of an effective…

流体动力学 · 物理学 2016-01-07 Junjian Wang , Li Chen , Qinjun Kang , Sheik S Rahman

The Fokker-Planck (FP) equation represents the drift-diffusive processes in kinetic models. It can also be regarded as a model for the collision integral of the Boltzmann-type equation to represent thermo-hydrodynamic processes in fluids.…

流体动力学 · 物理学 2025-04-15 William Schupbach , Kannan Premnath

We present a 3D hybrid method which combines the Finite Element Method (FEM) and the Spectral Boundary Integral method (SBIM) to model nonlinear problems in unbounded domains. The flexibility of FEM is used to model the complex,…

数值分析 · 数学 2021-02-18 Gabriele Albertini , Ahmed Elbanna , David S. Kammer

Lattice Boltzmann Methods (LBM) stand out for their simplicity and computational efficiency while offering the possibility of simulating complex phenomena. While they are optimal for Cartesian meshes, adapted meshes have traditionally been…

数值分析 · 数学 2022-02-28 Loïc Gouarin , Benjamin Graille , Marc Massot , Thomas Bellotti

In this work, we have developed a multiscale computational algorithm to couple finite element method with an open source molecular dynamics code --- the Large scale Atomic/Molecular Massively Parallel Simulator (LAMMPS) --- to perform…

软凝聚态物质 · 物理学 2019-09-17 Takahiro Murashima , Shingo Urata , Shaofan Li

3D2V continuum gyrokinetic simulations of electrostatic plasma turbulence in a straight, open-field-line geometry have been performed using the full-$f$ discontinuous-Galerkin code Gkeyll. These simulations include the basic elements of a…

等离子体物理 · 物理学 2017-08-02 E. L. Shi , G. W. Hammett , T. Stoltzfus-Dueck , A. Hakim

In this paper, we present a brief tutorial on reduced order model (ROM) closures. First, we carefully motivate the need for ROM closure modeling in under-resolved simulations. Then, we construct step by step the ROM closure model by…

数值分析 · 数学 2022-03-01 William Snyder , Changhong Mou , Honghu Liu , Omer San , Raffaella De Vita , Traian Iliescu

In this work, we extend the discrete unified gas-kinetic scheme (DUGKS) [Guo et al., Phys. Rev. E 88, 033305 (2013)] to continue two-phase flows. In the framework of DUGKS, two kinetic model equations are used to solve the…

计算物理 · 物理学 2018-10-02 Chunhua Zhang , Kang Yang , Zhaoli Guo

Recently, the learning by confusion (LBC) approach has been proposed as a machine learning tool to determine the critical temperature Tc of phase transitions without any prior knowledge of its even approximate value. However, the…

无序系统与神经网络 · 物理学 2023-08-09 Monika Richter-Laskowska , Marcin Kurpas , Maciej Maśka

Although an increased availability of computational resources has enabled high-fidelity simulations of turbulent flows, the RANS models are still the dominant tools for industrial applications. However, the predictive capabilities of RANS…

流体动力学 · 物理学 2018-11-19 Jian-Xun Wang , Jinlong Wu , Julia Ling , Gianluca Iaccarino , Heng Xiao

Multiphase flow phenomena have been widely observed in the industrial applications, yet it remains a challenging unsolved problem. Three-dimensional computational fluid dynamics (CFD) approaches resolve of the flow fields on finer spatial…

流体动力学 · 物理学 2020-05-11 Han Bao , Jinyong Feng , Nam Dinh , Hongbin Zhang