Discrete filtering of numerical solutions to hyperbolic conservation laws

DOI10.1002/fld.276zbMath1010.76057OpenAlexW2159964412MaRDI QIDQ4795198

Thomas Sonar, Andrea Bürgel

Publication date: 23 February 2003

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.276

zbMATH Keywords

image processingEuler equationsunstructured gridshyperbolic conservation lawsgas dynamicsfinite volume approximationsdiscrete filtertotal variation filter

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)

Related Items (3)

Digital total variation filtering as postprocessing for radial basis function approximation methods ⋮ Digital total variation filtering as postprocessing for Chebyshev pseudospectral methods for conservation laws ⋮ On the filtering of spurious oscillations in the numerical simulations of convection dominated problems

Cites Work

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• Weighted essentially non-oscillatory schemes on triangular meshes
• On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: Polynomial recovery, accuracy and stencil selection
• Nonlinear Filters for Efficient Shock Computation
• The digital TV filter and nonlinear denoising

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