Skip to main content

Table 8 Iteration counts and time measurements per time step for comparison of physics-based block preconditioners and the newly proposed hybrid preconditioner in the Coriolis flow meter example

From: A hybrid interface preconditioner for monolithic fluid–structure interaction solvers

Mesh ID

# of linear iterations

Solver time

Setup time

cor1

cor2

cor3

cor1

cor2

cor3

cor1

cor2

cor3

M

14

28

56

14

28

56

14

28

56

BGS(AMG)

226

458

597

\({14.7}\,{\hbox {s}}\)

\({44.9}\,{\hbox {s}}\)

\({66.6}\,{\hbox {s}}\)

\({9.8}\,{\hbox {s}}\)

\({11.1}\,{\hbox {s}}\)

\({11.3}\,{\hbox {s}}\)

H-BGS(AMG)

176

223

415

\({14.6}\,{\hbox {s}}\)

\({28.3}\,{\hbox {s}}\)

\({59.1}\,{\hbox {s}}\)

\({11.8}\,{\hbox {s}}\)

\({11.7}\,{\hbox {s}}\)

\({14.6}\,{\hbox {s}}\)

Savings (%)

22.1

51.3

30.5

0.5

37.0

11.3

AMG(BGS)

92

307

428

\({23.2}\,{\hbox {s}}\)

\({136.8}\,{\hbox {s}}\)

\({158.3}\,{\hbox {s}}\)

\({10.1}\,{\hbox {s}}\)

\({11.5}\,{\hbox {s}}\)

\({11.4}\,{\hbox {s}}\)

H-AMG(BGS)

85

161

223

\({23.0}\,{\hbox {s}}\)

\({77.8}\,{\hbox {s}}\)

\({90.3}\,{\hbox {s}}\)

\({10.7}\,{\hbox {s}}\)

\({12.1}\,{\hbox {s}}\)

\({13.5}\,{\hbox {s}}\)

Savings (%)

7.6

47.6

47.9

0.8

43.1

43.0

  1. The accumulated number of linear iterations per time step, the pure solver time as well as the time for preconditioner setup are given for all meshes.
  2. Relative savings due to the application of the hybrid preconditioner are reported at solution time \(t={3.405}\,{\hbox {s}}\)