### Abstract

Original language | Undefined |
---|---|

Title of host publication | Proceedings of the 10th International Conference on Flow Processes in Composite Materials |

Editors | V. Michaud |

Place of Publication | Ascona, Switserland |

Publisher | EPFL-ETH |

Pages | 1-5 |

Number of pages | 5 |

Publication status | Published - 11 Jul 2010 |

Event | 10th International Conference on Flow Processes in Composite Materials, FPCM-10 2010 - Monte Verita, Ascona, Switzerland Duration: 11 Jul 2010 → 15 Jul 2010 Conference number: 10 |

### Publication series

Name | |
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Publisher | EPFL-ETH |

### Conference

Conference | 10th International Conference on Flow Processes in Composite Materials, FPCM-10 2010 |
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Abbreviated title | FPCM |

Country | Switzerland |

City | Ascona |

Period | 11/07/10 → 15/07/10 |

### Keywords

- Benchmark
- IR-73135
- METIS-266990
- Permeability
- Multigrid

### Cite this

*Proceedings of the 10th International Conference on Flow Processes in Composite Materials*(pp. 1-5). Ascona, Switserland: EPFL-ETH.

}

*Proceedings of the 10th International Conference on Flow Processes in Composite Materials.*EPFL-ETH, Ascona, Switserland, pp. 1-5, 10th International Conference on Flow Processes in Composite Materials, FPCM-10 2010, Ascona, Switzerland, 11/07/10.

**Development of a multigrid finite difference solver for benchmark permeability analysis.** / Loendersloot, Richard; Grouve, Wouter Johannes Bernardus; Akkerman, Remko; de Boer, Andries.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Development of a multigrid finite difference solver for benchmark permeability analysis

AU - Loendersloot, Richard

AU - Grouve, Wouter Johannes Bernardus

AU - Akkerman, Remko

AU - de Boer, Andries

PY - 2010/7/11

Y1 - 2010/7/11

N2 - A finite difference solver, dedicated to flow around fibre architectures is currently being developed. The complexity of the internal geometry of textile reinforcements results in extreme computation times, or inaccurate solutions. A compromise between the two is found by implementing a multigrid algorithm and analytical solutions at the coarsest level of discretisation. Hence, the computational load of the solver is drastically reduced. This paper discusses the main features of the 3D multigrid algorithm implemented as well as the implementation of the analytical solution in the finite difference scheme. The first tests of the solver on the permeability benchmark lithographic reference geometry are discussed. Several tests were performed to assess the accuracy and the reduction in calculation time. The methods prove to be both accurate and efficient. However, the code is developed in Matlab© and hence is relatively slow. A C++ code is currently under development to achieve acceptable calculation times.

AB - A finite difference solver, dedicated to flow around fibre architectures is currently being developed. The complexity of the internal geometry of textile reinforcements results in extreme computation times, or inaccurate solutions. A compromise between the two is found by implementing a multigrid algorithm and analytical solutions at the coarsest level of discretisation. Hence, the computational load of the solver is drastically reduced. This paper discusses the main features of the 3D multigrid algorithm implemented as well as the implementation of the analytical solution in the finite difference scheme. The first tests of the solver on the permeability benchmark lithographic reference geometry are discussed. Several tests were performed to assess the accuracy and the reduction in calculation time. The methods prove to be both accurate and efficient. However, the code is developed in Matlab© and hence is relatively slow. A C++ code is currently under development to achieve acceptable calculation times.

KW - Benchmark

KW - IR-73135

KW - METIS-266990

KW - Permeability

KW - Multigrid

M3 - Conference contribution

SP - 1

EP - 5

BT - Proceedings of the 10th International Conference on Flow Processes in Composite Materials

A2 - Michaud, V.

PB - EPFL-ETH

CY - Ascona, Switserland

ER -