Differential quadrature lattice Boltzmann method for simulating fluid flows

格子Boltzmann方法 正交(天文学) 物理 统计物理学 数学 机械 应用数学 光学
作者
Mohsen Ghadyani,Mohammadreza Saremi Tehrani,Vali Enjilela
标识
DOI:10.1177/09544062241274702
摘要

In this study, a novel method for simulating incompressible flows using the lattice Boltzmann method is presented, aiming to improve robustness. This method is enhanced by the Qadyan numerical method. In the Qadyan method, Partial differential equations are solved using semi-discrete schemes combined with the differential quadrature method. To discretize the spatial derivatives of the lattice Boltzmann equation, the upwind differential quadrature method is employed, while the first-order forward difference scheme and/or fourth-order Runge-Kutta method handle the temporal term. The decision to exclude more complex methods stems from their requirement for refined computational grids. This work focuses on achievable results with similar types of uniform grids. The proposed scheme introduces and evaluates a novel method for solving both steady and unsteady problems. The present numerical method is validated by solving five benchmark problems, including heat diffusion on a slab, Stokes’ first problem, Taylor-Green vortex flow, flow around a flat plate, and flow in a lid-driven cavity. Reasonable agreements are obtained between the solutions obtained using this method and those from analytical/other numerical approaches. The Qadyan formulation delivers more accurate results compared to the finite-difference lattice Boltzmann method, (FDLBM), without requiring an increase in the number of grids. Notably, the novel Qadyan method achieves this increased accuracy without introducing additional complexity to the standard lattice Boltzmann method or resorting to non-uniform grids. This is possible due to the nature of the differential quadrature method, which utilizes more combinations of candidate stencils. The Qadyan method has a higher computational cost in comparison with the FDLBM.
最长约 10秒,即可获得该文献文件

科研通智能强力驱动
Strongly Powered by AbleSci AI
更新
PDF的下载单位、IP信息已删除 (2025-6-4)

科研通是完全免费的文献互助平台,具备全网最快的应助速度,最高的求助完成率。 对每一个文献求助,科研通都将尽心尽力,给求助人一个满意的交代。
实时播报
弯弓丝的小张完成签到,获得积分10
2秒前
orixero应助bottle采纳,获得10
2秒前
3秒前
QI关注了科研通微信公众号
4秒前
英姑应助weijie采纳,获得10
4秒前
年年发布了新的文献求助10
4秒前
5秒前
852应助LLL采纳,获得10
5秒前
frl发布了新的文献求助10
5秒前
5秒前
科研通AI2S应助冥月采纳,获得10
6秒前
所所应助孤独士晋采纳,获得10
6秒前
7秒前
echo发布了新的文献求助20
8秒前
10秒前
Victoria发布了新的文献求助10
10秒前
多情含灵发布了新的文献求助10
11秒前
慕青应助JackeyChen采纳,获得10
12秒前
小马甲应助忧虑的冰姬采纳,获得10
12秒前
12秒前
烟花应助123采纳,获得10
13秒前
cc完成签到,获得积分20
13秒前
13秒前
14秒前
AZUSA完成签到,获得积分20
15秒前
15秒前
在水一方应助猪猪院长采纳,获得10
15秒前
16秒前
朴素烧鹅发布了新的文献求助10
16秒前
superbada完成签到,获得积分10
17秒前
nanween完成签到,获得积分10
17秒前
zhaoyy发布了新的文献求助10
17秒前
17秒前
chang发布了新的文献求助10
19秒前
19秒前
19秒前
hhhi应助虚幻靖易采纳,获得10
20秒前
丘比特应助老武采纳,获得10
20秒前
21秒前
科目三应助frl采纳,获得10
21秒前
高分求助中
A new approach to the extrapolation of accelerated life test data 1000
ACSM’s Guidelines for Exercise Testing and Prescription, 12th edition 500
‘Unruly’ Children: Historical Fieldnotes and Learning Morality in a Taiwan Village (New Departures in Anthropology) 400
Indomethacinのヒトにおける経皮吸収 400
Phylogenetic study of the order Polydesmida (Myriapoda: Diplopoda) 370
基于可调谐半导体激光吸收光谱技术泄漏气体检测系统的研究 350
Robot-supported joining of reinforcement textiles with one-sided sewing heads 320
热门求助领域 (近24小时)
化学 材料科学 医学 生物 工程类 有机化学 生物化学 物理 内科学 纳米技术 计算机科学 化学工程 复合材料 遗传学 基因 物理化学 催化作用 冶金 细胞生物学 免疫学
热门帖子
关注 科研通微信公众号,转发送积分 3988732
求助须知:如何正确求助?哪些是违规求助? 3531027
关于积分的说明 11252281
捐赠科研通 3269732
什么是DOI,文献DOI怎么找? 1804764
邀请新用户注册赠送积分活动 881869
科研通“疑难数据库(出版商)”最低求助积分说明 809021