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Trilinos Application

Distributed matrices and linear solvers

Kratos Multiphysics uses several components of the Trilinos project for its MPI capabilities. The most relevant of these are the distributed-memory matrix and vector classes from the Epetra module and the linear solvers provided by the AztecOO, Amesos and ML packages. In addition, it also contains the MPI version of the AMGCL solver.

Main solver classes

  • TrilinosLinearSolver
  • AztecSolver
  • AmesosSolver
  • Amesos2Solver
  • MultiLevelSolver
  • AMGCL Mpi-based Solver

Kratos interface extension

The Trilinos application also provides MPI versions of most of the core classes of Kratos, adapted to work with Epetra distributed matrices where necessary. Hence it provide its own version of the following Kratos classes:

Builder and solvers

  • TrilinosResidualBasedBuilderAndSolver
  • TrilinosEliminationBuilderAndSolver
  • TrilinosBlockBuilderAndSolver
  • TrilinosBlockBuilderAndSolverPeriodic

Convergence Criterias

  • TrilinosDisplacementCriteria
  • TrilinosResidualCriteria
  • TrilinosAndCriteria
  • TrilinosOrCriteria
  • TrilinosMixedGenericCriteria

Solving Strategies

  • TrilinosSolvingStrategy
  • TrilinosLinearStrategy
  • TrilinosNewtonRaphsonStrategy

For more information about these please refer to their serial version (without Trilinos prefix) in the main Kratos documentation.

Components reference

Build instructions

First add the TrilinosApplication to the compiled apps, as described in the install instructions.

Use the following settings to add Trilinos:

-DTRILINOS_ROOT=String

Root directory for Trilinos library.

-DTRILINOS_INCLUDE_DIR=String

Not required if TRILINOS_ROOT is set. Path to trilinos include dir.

-DTRILINOS_LIBRARY_DIR=String

Not required if TRILINOS_ROOT is set. Path to trilinos library dir.

-DTRILINOS_LIBRARY_PREFIX=String Indicates the prefix of the trilinos libraries in case they have:

libepetra.so          -> No prefix
libtrilinos_epetra.so -> -DTRILINOS_PREFIX="trilinos_"

If trilinos was installed using the package manager usually the following lines have to be used:

-DTRILINOS_INCLUDE_DIR="/usr/include/trilinos" \
-DTRILINOS_LIBRARY_DIR="/usr/lib/x86_64-linux-gnu" \
-DTRILINOS_LIBRARY_PREFIX="trilinos_" \

Notes for compilation

Trilinos is a large project and not all of its packages are being used in Kratos. Check the docker of the CI to see which packages are necessary in order to compile the TrilinosApplication. Furthermore it is possible to do a minimal installation of the TrilinosApplication with only using the Epetra package. Using the other packages is enabled by default, but can be disabled with the following flags:

  • TRILINOS_EXCLUDE_ML_SOLVER: Setting this flag to ON in the configure file will exclude the interface to the Trilinos ML solver package
  • TRILINOS_EXCLUDE_AZTEC_SOLVER: Setting this flag to ON in the configure file will exclude solvers from the Trilinos AztecOO package
  • TRILINOS_EXCLUDE_AMESOS_SOLVER: Setting this flag to ON in the configure file will exclude solvers using features of the Trilinos Amesos package
  • TRILINOS_EXCLUDE_AMESOS2_SOLVER: Setting this flag to ON in the configure file will exclude solvers using features of the Trilinos Amesos2 package

From Ubuntu 18.04 onwards, Trilinos can be installed with the following command:

sudo apt-get install trilinos-all-dev