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A study of the motion in rotating containers using a boundary fitted co‐ordinate system
Author(s) -
Raghunath R.,
Sengupta S.,
Haeuser J.
Publication year - 1987
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650070503
Subject(s) - container (type theory) , work (physics) , domain (mathematical analysis) , partial differential equation , boundary value problem , mathematics , ordinate , grid , numerical analysis , mathematical analysis , geometry , mechanics , physics , mechanical engineering , engineering
Numerical solutions are often inaccurate because conventional co‐ordinate systems do not represent the complex physical boundaries accurately. In the present work, the numerical solution of linear shallow water wave equations has been obtained by transforming the physical domain into a rectangular computational domain using elliptic differential operators. This work is part of a programme to develop three‐dimensional body‐fit grid systems for environmental flows. Solutions have been obtained for a cylindrical container and also a parabolic container. The initial conditions chosen are the ones for which analytical solutions exist. The numerical solutions compare well with analytical solutions.