Evaluating linear and nonlinear solvers for density driven flow

Arne Nägel, Andreas Vogel, Gabriel Wittum*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This study investigates properties of different solvers for density driven flow problems. The focus is on both non-linear and linear solvers. For the non-linear part, we compare fully coupled method using a Newton linearization and iteratively coupled versions of Jacobi and Gauss-Seidel type. Fully coupled methods require effective preconditioners for the Jacobian. To that end we present a transformation eliminating some couplings and present a strategy for employing algebraic multigrid to the transformed system as well. The work covers theoretical aspects, and provides numerical experiments. Although the primary focus is on density driven flow, we believe that the analysis may well be extended beyond to similar equations with coupled phenomena, such as geomechanics.

Original languageEnglish (US)
Pages (from-to)3-15
Number of pages13
JournalComputer Methods in Applied Mechanics and Engineering
StatePublished - Aug 1 2015
Externally publishedYes


  • Algebraic multigrid
  • Density driven flow
  • Preconditioners
  • Solvers

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


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