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A time‐dependent incompressible viscous BEM for moderate Reynolds numbers
Author(s) -
Dargush G. F.,
Banerjee P. K.
Publication year - 1991
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620310812
Subject(s) - reynolds number , mathematics , boundary element method , compressibility , boundary (topology) , incompressible flow , stokes flow , mechanics , flow (mathematics) , domain (mathematical analysis) , mathematical analysis , geometry , finite element method , physics , turbulence , thermodynamics
The boundary element method is applied to transient viscous incompressible flow. The time‐domain formulation allows a boundary‐only solution for linear Stokes flow. For higher speed flows in which the non‐linear convective effects cannot be ignored, a volume integral must be retained. However, the introduction of reference velocities often limits the non‐linear region to the vicinity of obstacles or bounding surfaces. Additionally, the volume terms are rewritten to eliminate the need for the calculation of velocity gradients. A general purpose numerical implementation of this new formulation then produces a very attractive tool for engineering analysis. This implementation includes a Newton‐Raphson algorithm, permitting accurate solutions up to the moderate Reynolds number range. Several numerical examples are provided to validate the present approach.