arrow
返回

Finite volume solution of integer order anomalous diffusion

delete2026-02-11
delete0
PRE
AI
J
João Flávio Vieira Vasconcellos *
G
Gisele Moraes Marinho
D
Diego C. Knupp
DOI:10.1007/s40430-025-06202-8delete
delete原文链接
delete原文求助
delete分享
delete收藏
摘要

摘要

En 中文
本文提出了一致有限体积格式,用于在均匀结构化网格上求解二维Bevilacqua-Gale & atilde;o-Costa (BGC)反常扩散方程。采用自定义紧凑模板对双调和算子进行离散化,应用于内部和边界控制体积,确保空间算子的守恒性。von Neumann稳定性分析比较了全隐式和显式时间积分方法,而通过构造解法进行的验证确认了二阶空间和一阶时间精度。不同滞留因子范围内的瞬态模拟展示了四阶项对反常扩散行为的影响。
Keyword:
Bevilacqua-Gale & atilde
o-Costa equation
Anomalous diffusion
Biflux diffusion
Consistency analysis

期刊

Journal of the Brazilian Society of Mechanical Sciences and Engineering 封面图
Journal of the Brazilian Society of Mechanical Sciences and Engineering
IF:
2.1
论文数:
625
被引数:
9.5K

机构

Universidade do Estado do Rio de Janeiro 封面图
Universidade do Estado do Rio de Janeiro
学者数:
8.8K
论文数: 6.2K
被引数: 3.6K
引用论文

引用论文

Efficient Management of Parallelism in Object-Oriented Numerical Software Libraries
err1997-01-01
err0
PREAI
errSatish Balay; William D. Gropp; Lois Curfman McInnes; Barry F. Smith
err分享
err收藏
Code Verification by the Method of Manufactured Solutions
err
IF0
err2000-06-01
err0
errOAAI
errKAMBIZ SALARI; PATRICK KNUPP
err分享
err收藏
Finite volume schemes for the biharmonic problem on general meshes
err2012-04-16
err0
errOAAI
errR. Eymard; T. Gallouët; R. Herbin; A. Linke
err分享
err收藏
Verification and validation benchmarks
err2008-03-01
err0
errOAAI
errWilliam L. Oberkampf; Timothy G. Trucano
err分享
err收藏
Anomalous Transport in Random Fracture Networks
err1997-11-17
err0
PREAI
errBrian Berkowitz; Harvey Scher
err分享
err收藏
学者 查看更多内容