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September 10, 2025International Journal for Numerical Methods in FluidsOpen Access

A Geometric Multigrid Solver for the Incompressible Navier–Stokes Equations Using Discretely Divergence‐Free Finite Elements in 3D

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Authors

CLChristoph Lohmann

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Overview

This method presents a multigrid technique for Navier–Stokes equations, highlighting discretely divergence-free finite elements and efficient boundary conditions.

Key Points

  • Utilizing discretely divergence-free finite elements results in smaller system matrices, allowing for more general preconditioners.
  • The method avoids complex Schur complement techniques, simplifying the solution process in three-dimensional flows.
  • Global functions with extended support address boundary conditions effectively, especially in geometries involving flow bifurcations.
  • Numerical examples demonstrate both strengths and limitations of the proposed solution method across varied boundary conditions.

Cite This Study

Christoph Lohmann (2025) studied this question.

synapsesocial.com/papers/68c192659b7b07f3a06176d6https://doi.org/10.1002/fld.70008
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