Name
Abstract | ||
|---|---|---|
We propose a novel artificial compression, reduced order model (AC-ROM) for the numerical simulation of viscous incompressible fluid flows. The new AC-ROM provides approximations not only for velocity but also for pressure, which is needed to calculate forces on bodies in the flow and to connect the simulation parameters with pressure data. The new AC-ROM does not require that the velocity-pressure ROM spaces satisfy the inf-sup (Ladyzhenskaya-Babuska-Brezzi) condition, and its basis functions are constructed from data that are not required to be weakly divergence-free. We prove error estimates for the reduced basis discretization of the AC-ROM. We also investigate numerically the new AC-ROM in the simulation of a two-dimensional flow between offset cylinders. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1137/19M1246444 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
Navier-Stokes equations,proper orthogonal decomposition,artificial compression | Compressibility,Compression (physics),Discretization,Cylinder (engine),Computer simulation,Mathematical analysis,Flow (psychology),Basis function,Mathematics,Offset (computer science) | Journal |
Volume | Issue | ISSN |
58 | 1 | 0036-1429 |
Citations | PageRank | References |
0 | 0.34 | 6 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Victor DeCaria | 1 | 0 | 0.34 |
| Traian Iliescu | 2 | 66 | 10.75 |
| William J. Layton | 3 | 170 | 72.49 |
| Michael McLaughlin | 4 | 0 | 0.34 |
| Michael Schneier | 5 | 1 | 0.73 |