A cell-centered finite volume scheme for the diffusive-viscous wave equation on general polygonal meshes

被引：3
|
作者：
Wang, Wenhui [1 ]
Yan, Wenjing [1 ]
Yang, Di [2 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
[2] Grad Sch China Acad Engn Phys, Beijing 100088, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 133卷
基金：
中国国家自然科学基金;
关键词：
Diffusive-viscous wave equation; Cell-centered; Distorted mesh; Finite volume method; PROPAGATION;
D O I：
10.1016/j.aml.2022.108274
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Seismic wave equations based on numerical simulation have become effective tools in geological exploration. Considering the frequency dependence of reflections and fluid saturation in porous mediums, the diffusive-viscous wave theory is necessary to study. In this paper, a cell-centered finite volume scheme for the diffusive-viscous wave equation is proposed on general distorted polygonal meshes. Numerical experiments are provided to demonstrate the convergence rate of the errors in the discrete L2 norm and interpret the effectiveness by a simulation of the actual geological exploration point. (C) 2022 Elsevier Ltd. All rights reserved.
引用
下载
收藏
页数：8
相关论文
共 50 条
  • [1] A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions
    Eymard, R
    Herbin, R
    COMPTES RENDUS MATHEMATIQUE, 2003, 337 (02) : 125 - 128
  • [2] Numerical analysis of the diffusive-viscous wave equation
    Han, Weimin
    Song, Chenghang
    Wang, Fei
    Gao, Jinghuai
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 102 : 54 - 64
  • [3] Analysis and construction of cell-centered finite volume scheme for diffusion equations on distorted meshes
    Zhao, Qiang
    Yuan, Guangwei
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (37-40) : 3039 - 3050
  • [4] Discontinuous Galerkin method for the diffusive-viscous wave equation
    Zhang, Min
    Yan, Wenjing
    Jing, Feifei
    Zhao, Haixia
    APPLIED NUMERICAL MATHEMATICS, 2023, 183 : 118 - 139
  • [5] Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes
    Chang, Lina
    Yuan, Guangwei
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (17-20) : 1638 - 1646
  • [6] A novel cell-centered finite volume scheme with positivity-preserving property for the anisotropic diffusion problems on general polyhedral meshes
    Peng, Gang
    Gao, Zhiming
    Feng, Xinlong
    APPLIED MATHEMATICS LETTERS, 2020, 104
  • [7] A Cell-Centered Nonlinear Finite Volume Scheme Preserving Fully Positivity for Diffusion Equation
    Sheng, Zhiqiang
    Yuan, Guangwei
    JOURNAL OF SCIENTIFIC COMPUTING, 2016, 68 (02) : 521 - 545
  • [8] A Cell-Centered Nonlinear Finite Volume Scheme Preserving Fully Positivity for Diffusion Equation
    Zhiqiang Sheng
    Guangwei Yuan
    Journal of Scientific Computing, 2016, 68 : 521 - 545
  • [9] An improved monotone finite volume scheme for diffusion equation on polygonal meshes
    Sheng, Zhiqiang
    Yuan, Guangwei
    JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 231 (09) : 3739 - 3754
  • [10] Cell-centered method for viscous computations on unstructured meshes
    Charrier, P
    Dubroca, B
    Flandrin, L
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1996, 323 (01): : 91 - 94
12345