Finite difference method and a spurious reflection of waves in a layer of fluid

DOI10.1016/0045-7825(87)90128-9zbMath0593.76040OpenAlexW2086005435MaRDI QIDQ1076565

Kazimierz Szmidt

Publication date: 1987

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(87)90128-9

zbMATH Keywords

analytical solutionsfinite difference methodHelmholtz equationnonuniform gridregular griddegree of deformation of discrete solutionslayer of fluid boundary conditionsspurious wavesudden mesh size changetransmitted wave amplitudetwo uniform grids

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Basic methods in fluid mechanics (76M99)

Cites Work

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• Finite element approach to steady-state vibrations in a fluid of finite depth
• Numerical analysis of waves in a semi-infinite layer of fluid
• Spurious reflection of elastic waves in nonuniform finite element grids
• Spurious reflection of elastic waves in nonuniform meshes of constant and linear strain unite elements
• Spurious reflection of elastic waves due to gradually changing finite element size

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