Name
Abstract | ||
|---|---|---|
This contribution studies the influence of the pressure on the velocity error in finite element discretisations of the Navier–Stokes equations. Four simple benchmark problems that are all close to real-world applications convey that the pressure can be comparably large and is not to be underestimated. In fact, the velocity error can be arbitrarily large in such situations. Only pressure-robust mixed finite element methods, whose velocity error is pressure-independent, can avoid this influence. Indeed, the presented examples show that the pressure-dependent component in velocity error estimates for classical mixed finite element methods is sharp. In consequence, classical mixed finite element methods are not able to simulate some classes of real-world flows, even in cases where dominant convection and turbulence do not play a role. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.jcp.2016.02.070 | Journal of Computational Physics |
Keywords | Field | DocType |
Incompressible Navier–Stokes equations,Mixed finite elements,Benchmarks,Spurious velocity oscillations | Conservative vector field,Convection,Mathematical analysis,Turbulence,Extended finite element method,Finite element method,Mechanics,Momentum,Arbitrarily large,Mathematics,Mixed finite element method | Journal |
Volume | ISSN | Citations |
313 | 0021-9991 | 7 |
PageRank | References | Authors |
0.67 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alexander Linke | 1 | 92 | 12.29 |
| Christian Merdon | 2 | 62 | 7.33 |