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On the self‐induced motion of vortex sheets
Author(s) -
Bera Rajendra K.
Publication year - 1988
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.1650080703
Subject(s) - inviscid flow , vortex , compressibility , motion (physics) , scheme (mathematics) , vortex sheet , classical mechanics , mathematics , numerical analysis , exact solutions in general relativity , mechanics , mathematical analysis , physics , vorticity
Abstract An accurate numerical scheme has been devised to study the self‐induced motion of an infinitely thin, free vortex sheet of finite span in an unbounded, inviscid, incompressible fluid. The new numerical scheme has been tested against two vortex sheet problems for which exact solutions have also been obtained. The agreement between the numerical and exact solutions is excellent. The scheme has been further tested against two more examples for which analytical solutions for small times were available. Here too the agreement is excellent.