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Numerical boundary conditions for unsteady transonic flow calculations
Author(s) -
Jiang Hong,
Lee B. H. K.,
Wong Yau Shu
Publication year - 1994
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.1650181108
Subject(s) - transonic , spurious relationship , boundary (topology) , computational fluid dynamics , boundary value problem , computation , boundary conditions in cfd , different types of boundary conditions in fluid dynamics , mechanics , mathematics , computer science , mathematical analysis , no slip condition , free boundary problem , physics , mixed boundary condition , robin boundary condition , aerodynamics , algorithm , statistics
In calculations of transonic flows it is necessary to limit the domain of computation to a size that is manageable by computers. At the boundary of the computational domain, boundary conditions are required to ensure a unique solution. Since wave solutions exist in the unsteady transonic flow field, incorrect boundary conditions may result in spurious reflections from the computational boundary. This may introduce errors into the solution. To prevent the spurious reflections, absorbing boundary conditions are often used on the computational boundary. In this paper we describe a method to derive absorbing boudary conditions for transonic calculations. We demonstrate both theoretically and numerically that the use of the absorbing boundary conditions will reduce the spurious reflections in the calculation.