Table 4 Averages of accumulated iteration counts and time measurements per time step for comparison of classic, physics-based block preconditioners and the newly proposed hybrid preconditioner in the pressure wave example
From: A hybrid interface preconditioner for monolithic fluid–structure interaction solvers
Mesh ID | pw1 | pw2 | pw3 | pw4 | pw5 | pw6 |
|---|---|---|---|---|---|---|
M | 16 | 32 | 64 | 128 | 192 | 256 |
(a) Average accumulated number of linear iterations per time step | ||||||
BGS(AMG) | 68.6 | 65.5 | 56.6 | 57.0 | 59.7 | 64.1 |
H-BGS(AMG) | 46.1 | 49.7 | 42.8 | 44.8 | 47.8 | 50.7 |
Savings (%) | 32.8 | 24.1 | 24.4 | 21.4 | 19.9 | 20.9 |
AMG(BGS) | 52.6 | 54.3 | 41.9 | 42.4 | 44.7 | 49.1 |
H-AMG(BGS) | 37.0 | 42.0 | 33.4 | 35.0 | 37.4 | 41.4 |
Savings (%) | 29.7 | 22.7 | 20.3 | 17.5 | 16.3 | 15.7 |
(b) Average accumulated linear solver time per time step | ||||||
BGS(AMG) (s) | 6.4 | 12.4 | 17.4 | 20.8 | 27.8 | 31.6 |
H-BGS(AMG) (s) | 5.7 | 11.0 | 15.5 | 18.2 | 21.1 | 24.4 |
Savings(%) | 10.9 | 11.3 | 10.9 | 12.5 | 24.1 | 22.8 |
AMG(BGS) (s) | 5.6 | 11.4 | 16.5 | 19.1 | 28.8 | 28.0 |
H-AMG(BGS) (s) | 5.0 | 9.6 | 13.8 | 15.8 | 19.4 | 22.2 |
Savings (%) | 10.7 | 15.8 | 16.4 | 17.3 | 32.6 | 20.7 |