Name
Abstract | ||
|---|---|---|
We study numerically four regularization models with deconvolution for density currents, namely, Boussinesq-alpha, Boussinesq-omega ,Boussinesq-Leray and Modified-Boussinesq-Leray. A Crank-Nicolson in time and finite element in space algorithm is proposed and proved to be unconditionally stable and optimally convergent, which is verified through convergence rates in simulations. Lastly, the regularized models are compared through the two-dimensional Marsigli's flow benchmark for Re = 2000 and Re = 5000. We found that Boussinesq-alpha and Boussinesq-Leray models produced the most accurate solutions in the low Reynolds number test and, as expected, all regularized models had their solutions improved when deconvolution order was increased. On the other hand, in the high Reynolds number test the Boussinesq-Leray provided the best solution. Besides, the Boussinesq-Leray model is also more advantageous from the computational point of view because its momentum and filter equations are decoupled enabling to increase the deconvolution order with no significant increase in the computational cost. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1515/jnma-2015-0130 | JOURNAL OF NUMERICAL MATHEMATICS |
Keywords | Field | DocType |
regularized models,density currents,Boussinesq model,turbulence | Mathematical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
25 | 2 | 1570-2820 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Igor O. Monteiro | 1 | 0 | 0.34 |
| Carolina C. Manica | 2 | 31 | 5.01 |