## Grueninger/windtunnel_evap3d

3D wind tunnel evaporation, Christoph Grueninger, Univ. Stuttgart

Name | windtunnel_evap3d |
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Group | Grueninger |

Matrix ID | 2815 |

Num Rows | 40,816 |

Num Cols | 40,816 |

Nonzeros | 803,978 |

Pattern Entries | 2,730,600 |

Kind | Computational Fluid Dynamics Problem |

Symmetric | No |

Date | 2017 |

Author | C. Gr\"uninger |

Editor | T. Davis |

Download | MATLAB Rutherford Boeing Matrix Market |
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Notes |
Wind tunnel evaporation, Christoph Grueninger, Univ. Stuttgart Source: Christoph Grueninger, pr at grueninger.de Stuttgart Research Centre for Simulation Technology, Univ. of Stuttgart, Germany Matrix files: windtunnel-evaporation-(2|3)d-time4-newton1.mat Right-hand sides: windtunnel-evaporation-(2|3)d-time4-newton1-rhs.mat == Background == The matrix origins from a simulation of soil-water evaporation from a water-filled sand box to air in a pipe. It is based on a coupled Navier-Stokes/Darcy model. The Navier-Stokes model features one fluid phase, the Darcy model two fluid phases. Each fluid phase may be composed of two components, in addition, non-isothermal processes are considered. A cell-centered finite volume method (FVM) is combined with a marker and cell (MAC) scheme. The coupled problem is compiled in one monolithic system and solved using Newton's method. The given matrix occurs at the 4th time-step in the 1st Newton step. == Publication and software== The related model and the software is described in: Christoph Gr\"uninger, Thomas Fetzer, Bernd Flemisch, Rainer Helmig: "Coupling DuMuX and DUNE-PDELab to investigate evaporation at the interface between Darcy and Navier-Stokes flow" SimTech Technical Report 2017 - 1, 2017. doi: 10.18419/opus-9360 https://elib.uni-stuttgart.de/handle/11682/9377?mode=simple abstract: An implementation of a coupled Navier-Stokes/Darcy model based on different Dune discretization modules is presented. The Darcy model is taken from DuMuX, the Navier-Stokes model is implemented on top of Dune-PDELab, and the coupling is done with help of Dune-MultiDomain together with some project-specific auxiliary code. The Navier-Stokes model features one fluid phase, the Darcy model two fluid phases. Each fluid phase may be composed of two components, in addition, non-isothermal processes are considered. The coupling between free and porous-medium flow uses a sharp interface between both subdomains and conserves mass, momentum, and energy by accounting for the corresponding fluxes across the interface. A cell-centered finite volume method (FVM) is combined with a marker and cell (MAC) scheme. It solves the coupled problem in one monolithic system using a Newton method and a direct linear solver. Numerical results demonstrate the basic functioning and a lab-scale reference application. The software to reproduce the matrices is available as open source: https://git.iws.uni-stuttgart.de/dumux-pub/Grueninger2017b |