An indirect Boundary Element Method for solving low Reynolds number Navier–Stokes equations in a three-dimensional cavity
✍ Scribed by Henry Power; Vincenzo Botte
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 212 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
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 ow 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.