Coordinate Transformation Approach for Numerical Solution of Environmental Problems

DOI10.1007/978-3-319-40157-7_7zbMath1356.76185OpenAlexW2551985154MaRDI QIDQ2961424

Ivan T. Dimov, Lubin G. Vulkov, Tatiana Chernogorova

Publication date: 20 February 2017

Published in: Mathematical Problems in Meteorological Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-40157-7_7

zbMATH Keywords

unbounded domaindifference schemesplittingtransformationadvection-diffusion equationsnon-negativity preservationair-pollution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Computational methods for problems pertaining to geophysics (86-08)

Cites Work

• Fitted finite volume positive difference scheme for a stationary model of air pollution
• Numerical solution of problems in unbounded regions: coordinate transforms
• A finite volume difference scheme for a model of settling particle dispersion from an elevated source in an open-channel flow
• Adequate numerical solution of air pollution problems by positive difference schemes on unbounded domains
• Computational and numerical challenges in environmental modelling
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