The numerical solution of Stokes flow in a domain with re‐entrant boundaries by the boundary element method

Publisher Website
Google Scholar
Abstract
Numerical solutions are presented for two‐dimensional low Reynolds number flow in a rotating tank with stationary barriers. The boundary element method is employed, assuming straight panels and quadratic source distribution. The feasibility of repositioning the nodes as a way to minimize the error is explored. A stretching parameter places smaller elements near the re‐entrant regions. Elementary error analysis shows uniform improvement in the solution with stretching. The changing eddy pattern for different numbers and sizes of the barriers is compared with experimental results.