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We present an energy-conserving multiple-relaxation-time finite difference lattice Boltzmann model for compressible flows. This model is based on a 16-discrete-velocity model. The collision step is first calculated in the moment space and…

统计力学 · 物理学 2015-05-14 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li

This paper describes `Ludwig', a versatile code for the simulation of Lattice-Boltzmann (LB) models in 3-D on cubic lattices. In fact `Ludwig' is not a single code, but a set of codes that share certain common routines, such as I/O and…

软凝聚态物质 · 物理学 2009-10-31 Jean-Christophe Desplat , Ignacio Pagonabarraga , Peter Bladon

Entropic lattice Boltzmann methods have been developed to alleviate intrinsic stability issues of lattice Boltzmann models for under-resolved simulations. Its reliability in combination with moving objects was established for various…

流体动力学 · 物理学 2017-06-21 B. Dorschner , S. S. Chikatamarla , I. V. Karlin

The integral equation approach to partial differential equations (PDEs) provides significant advantages in the numerical solution of the incompressible Navier-Stokes equations. In particular, the divergence-free condition and boundary…

数值分析 · 数学 2020-02-26 Ludvig af Klinteberg , Travis Askham , Mary Catherine Kropinski

We present a simple, parallel and distributed algorithm for setting up and partitioning a sparse representation of a regular discretized simulation domain. This method is scalable for a large number of processes even for complex geometries…

分布式、并行与集群计算 · 计算机科学 2017-08-09 Markus Wittmann , Thomas Zeiser , Georg Hager , Gerhard Wellein

We investigate a complex system involving multiple shapes to be optimized in a domain, taking into account geometric constraints on the shapes and uncertainty appearing in the physics. We connect the differential geometry of product shape…

最优化与控制 · 数学 2023-08-16 Caroline Geiersbach , Tim Suchan , Kathrin Welker

In this paper we present a topology optimization technique applicable to a broad range of flow design problems. We propose also a discrete adjoint formulation effective for a wide class of Lattice Boltzmann Methods (LBM). This adjoint…

计算工程、金融与科学 · 计算机科学 2015-01-21 Łukasz Łaniewski-Wołłk , Jacek Rokicki

The lattice Boltzmann method has become a standard for efficiently solving problems in fluid dynamics. While unstructured grids allow for a more efficient geometrical representation of complex boundaries, the lattice Boltzmann methods is…

This paper proposes a simple and accurate lattice Boltzmann model for simulating thermocapillary flows, which is able to deal with thermophysical parameters contrasts. In this model, two lattice Boltzmann equations are utilized to solve the…

流体动力学 · 物理学 2023-06-21 Lei Wanga , Kun Hea , Huili Wang

By rewriting the Navier-Stokes equation in terms of differential forms we give a formulation which is abstracted and reproduced in a finite dimensional setting. We give two examples of these finite models and, in the latter case, prove some…

偏微分方程分析 · 数学 2011-02-14 Scott O. Wilson

A new simulation method for solving fluid-structure coupling problems has been developed. All the basic equations are numerically solved on a fixed Cartesian grid using a finite difference scheme. A volume-of-fluid formulation (Hirt and…

计算物理 · 物理学 2015-05-20 Kazuyasu Sugiyama , Satoshi Ii , Shintaro Takeuchi , Shu Takagi , Yoichiro Matsumoto

The paper extends a stabilized fictitious domain finite element method initially developed for the Stokes problem to the incompressible Navier-Stokes equations coupled with a moving solid. This method presents the advantage to predict an…

数值分析 · 数学 2017-07-12 Sébastien Court , Michel Fournié

Recently, we notice that a pressure-based lattice Boltzmann (LB) method was established to recover the volume-averaged Navier-Stokes equations (VANSE), which serve as the cornerstone of various fluid-solid multiphase models. It decouples…

流体动力学 · 物理学 2026-03-11 Yang Liu , Xuan Zhang , Jingchun Min , Xiaomin Wu

This paper describes a new multilevel procedure that can solve the discrete Navier-Stokes system arising from finite volume discretizations on composite grids, which may consist of more than one level. SIMPLE is used and tested as the…

计算物理 · 物理学 2015-08-14 Alexandros Syrakos , Apostolos Goulas

The study deals with the parallelization of 2D and 3D finite element based Navier-Stokes codes using direct solvers. Development of sparse direct solvers using multifrontal solvers has significantly reduced the computational time of direct…

数学软件 · 计算机科学 2009-10-13 Mandhapati P. Raju

A volumetric lattice Boltzmann (LB) method is developed for the particle-resolved direct numerical simulation of thermal particulate flows with conjugate heat transfer. This method is devised as a single-domain approach by applying the…

计算物理 · 物理学 2024-11-01 Xiaojie Zhang , Donglei Wang , Qing Li , Rongzong Huang

In this paper, a lattice Boltzmann model is proposed to simulate solid-liquid phase change phenomena in multiphase systems. The model couples the thermal properties of the solidification front with the dynamics of the liquid droplet…

流体动力学 · 物理学 2024-04-04 Jiangxu Huang , Lei Wang , Zhenhua Chai , Baochang Shi

In this work, we investigate the interaction of free and porous media flow by large scale lattice Boltzmann simulations. We study the transport phenomena at the porous interface on multiple scales, i.e., we consider both, computationally…

计算工程、金融与科学 · 计算机科学 2015-07-24 Ehsan Fattahi , Christian Waluga , Barbara Wohlmuth , Ulrich Rüde

We present recent developments in lattice Boltzmann modeling for multi-component flows, implemented on the platform of a general purpose, arbitrary geometry solver PowerFLOW. Presented benchmark cases demonstrate the method's accuracy and…

流体动力学 · 物理学 2016-01-07 Hiroshi Otomo , Hongli Fan , Yong Li , Marco Dressler , Ilya Staroselsky , Raoyang Zhang , Hudong Chen

A previously-developed hybrid particle-continuum method [J. B. Bell, A. Garcia and S. A. Williams, SIAM Multiscale Modeling and Simulation, 6:1256-1280, 2008] is generalized to dense fluids and two and three dimensional flows. The scheme…

软凝聚态物质 · 物理学 2009-10-22 A. Donev , J. B. Bell , A. L. Garcia , B. J. Alder