KrylovSolver#

class ansys.mapdl.core.krylov.KrylovSolver(mapdl)[source]#

Abstract mapdl krylov class. Created from a Mapdl instance.

Notes

The procedure to use the Krylov solver is composed of three steps:

  1. Generate Krylov subspace using KrylovSolver.gensubspace.

  2. Use KrylovSolver.solve to solve the generated Krylovsub space using a reduced harmonic analysis over a specified frequency range

  3. Expand the reduced solution back to the original space using KrylovSolver.solve

Examples

Create an instance.

>>> from ansys.mapdl.core import launch_mapdl
>>> mapdl = launch_mapdl()
>>> ....
>>> ....
>>> Generate the FEA model (mesh, constraints, loads)
>>> Generate the .full file

>>> mk = mapdl.krylov
>>> # Generate the Krylov subspace
>>> Qz = mk.gensubspace(10, 100, check_orthogonality=True)
>>> # Reduce the system of equations and solve at each frequency.
>>> Yz = mk.solve(10, 100,  freq_steps=1, ramped_load=True)
>>> # Expand the reduced solution back to the FE space.
>>> res = mk.expand(residual_computation=True, residual_algorithm="l2")

Methods

KrylovSolver.compute_residuals(iFreq, RzV, ...)

Compute residuals of the matrices

KrylovSolver.expand([residual_computation, ...])

Expand the reduced solution back to FE space.

KrylovSolver.gensubspace(max_dim_q, frequency)

Generate a Krylov subspace for model reduction in a harmonic analysis.

KrylovSolver.solve(freq_start, freq_end, ...)

Reduce the system of equations and solve at each frequency.

Attributes

KrylovSolver.is_orthogonal

Check whether the solution is orthogonal.