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An indirect Boundary Element Method for solving low Reynolds number Navier–Stokes equations in a three‐dimensional cavity
Author(s) -
Power Henry,
Botte Vincenzo
Publication year - 1998
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/(sici)1097-0207(19980430)41:8<1485::aid-nme348>3.0.co;2-a
Subject(s) - mathematics , boundary element method , mathematical analysis , integral equation , matrix (chemical analysis) , stokes flow , boundary (topology) , reynolds number , boundary value problem , navier–stokes equations , flow (mathematics) , finite element method , geometry , physics , mechanics , compressibility , turbulence , thermodynamics , materials science , composite material
In the present work, we propose an indirect boundary‐only integral equation approach for the numerical solution of the Navier–Stokes system of equations in a three‐dimensional flow cavity. The formulation is based on an indirect integral representational formula for the permanent Stokes equations, and the use of a particular solution of a nonhomogeneous Stokes system of equations in order to obtain in an iterative way the corresponding complete solution of the problem. Previous boundary‐only integral equation approaches to the present problem, using direct boundary elements formulations, result in a series of matrix multiplications that make these approaches computationally costly. Due to the use of an indirect formulation, the present approach is free from those matrix multiplications. © 1998 John Wiley & Sons, Ltd.