Numerical wave propagation on non-uniform one-dimensional staggered grids

DOI10.1016/j.jcp.2010.12.040zbMath1217.65173DBLPjournals/jcphy/LongT11OpenAlexW2088167281WikidataQ57936678 ScholiaQ57936678MaRDI QIDQ543683

Yong-Cai Geng, Sumit K. Garg

Publication date: 17 June 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.12.040

zbMATH Keywords

numerical examplesshallow water equationswave reflectiongroup velocitylinear advection equationstretched gridcentered difference schemesspontaneous radiation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (4)

Conservation with moving meshes over orography ⋮ Determining the effective resolution of advection schemes. part I: dispersion analysis ⋮ Determining the effective resolution of advection schemes. Part II: numerical testing ⋮ A fast dynamic smooth adaptive meshing scheme with applications to compressible flow

Cites Work

• Wave propagation and reflection in irregular grids for hyperbolic equations
• Energy and group velocity in semi discretizations of hyperbolic equations
• Propagation through numerical mesh refinement for hyperbolic equations
• An analysis of 1D finite-volume methods for geophysical problems on refined grids
• Interface conditions for wave propagation through mesh refinement boundaries.
• Multisymplectic box schemes and the Korteweg-de Vries equation.
• Adaptive atmospheric modeling. Key techniques in grid generation, data structures, and numerical operations with applications
• Group Velocity in Finite Difference Schemes

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