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Commit 06b48970 authored by Stefanie Kiemle's avatar Stefanie Kiemle Committed by Ned Coltman
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---
title: Coupled Freeflow and Porous Media Flow Models in DuMu<sup>X</sup>
title: Coupled Free-Flow and Porous Media Flow Models in DuMu<sup>X</sup>
---
# Motivation
......@@ -9,7 +9,7 @@ title: Coupled Freeflow and Porous Media Flow Models in DuMu<sup>X</sup>
![](img/FFPM_radiation.gif){style="width: 60%; margin: auto; "}
<figcaption align = "center">
<font size = "2">
Fig.1 - Evaporation of soil water (Heck et al. (2020))[^3]
Fig.1 - Evaporation of soil water (Heck et al. (2020))<sup>1</sup>
</font>
</figcaption>
......@@ -22,7 +22,7 @@ Fig.1 - Evaporation of soil water (Heck et al. (2020))[^3]
![](img/FFPM_filter_gv_t_closeup.png){style="width: 45%; align: left;"}
<figcaption align = "center">
<font size = "2">
Fig.2 - Filter (Schneider et al. (2023))[^1]
Fig.2 - Filter (Schneider et al. (2023))<sup>2</sup>
</font>
</figcaption>
......@@ -35,7 +35,7 @@ Fig.2 - Filter (Schneider et al. (2023))[^1]
![](img/FFPM_braintissue.png){style="width: 25%; align: left;"}
<figcaption align = "center">
<font size = "2">
Fig.3 - Brain tissue (Koch et al. (2020))[^2]
Fig.3 - Brain tissue (Koch et al. (2020))<sup>3</sup>
</font>
</figcaption>
......@@ -164,7 +164,7 @@ $$
<img src=img/FFPM-numericalmodel.png width="25%">
<figcaption align = "center">
<font size = "2">
Fig.6 - Discretization scheme (Fetzer, 2018)[^5]
Fig.6 - Discretization scheme (Fetzer (2018))<sup>4</sup>
</font>
</figcaption>
......@@ -179,7 +179,7 @@ Fig.6 - Discretization scheme (Fetzer, 2018)[^5]
<figcaption align = "center">
<font size = "2">
Fig.7 - Evaporation in the water cycle (Photo: ETHZ)[^6]
Fig.7 - Evaporation in the water cycle (Photo: ETHZ)<sup>5</sup>
</font>
</figcaption>
......@@ -189,7 +189,7 @@ Fig.7 - Evaporation in the water cycle (Photo: ETHZ)[^6]
<figcaption align = "center">
<font size = "2">
Fig.8 - Different evaporation stages (Or et al., 2013)[^4]
Fig.8 - Different evaporation stages (Or et al.(2013))<sup>6</sup>
</font>
</figcaption>
......@@ -217,7 +217,7 @@ Fig.8 - Different evaporation stages (Or et al., 2013)[^4]
<figcaption align = "left">
<font size = "2">
Fig.9 - Model setup (Fetzer, 2018)[^5]
Fig.9 - Model setup (Fetzer (2018))<sup>4</sup>
</font>
</figcaption>
......@@ -227,7 +227,7 @@ Fig.9 - Model setup (Fetzer, 2018)[^5]
![](img/FFPM_evaporation.gif)
<figcaption align = "center">
<font size = "2">
Fig.10 - Results: Evaporation from a simple setup (Fetzer, 2018)[^5]
Fig.10 - Results: Evaporation from a simple setup (Fetzer (2018))<sup>4</sup>
</font>
</figcaption>
......@@ -237,8 +237,8 @@ Fig.10 - Results: Evaporation from a simple setup (Fetzer, 2018)[^5]
_Tasks_
- Change flow direction for a tangetial flow as opposed to the original normal flow
- Introduce the beavers joseph tangential flow interface condition
- Change flow direction for a tangential flow as opposed to the original-normal flow
- Introduce the Beavers-Joseph-tangential-flow interface condition
- Redevelop the grid and introduce an undulating interface
- Change the inflow boundary condition to a velocity profile
......@@ -246,7 +246,7 @@ _Tasks_
_Tasks_
- Modify the model to use 2phase multicomponent model in the porous medium.
- Modify the model to use a 2-phase multicomponent model in the porous medium
- Experiment with various data output types: `.csv` and `.json`
- Visualize with various visualization tools: `gnuplot` and `matplotlib`
......@@ -254,41 +254,26 @@ _Tasks_
_Tasks_
- Introduce a Turbulence model to the free-flow domain
- Introduce a turbulence model to the free-flow domain
- Reduce the free-flow domain by using a symmetry condition at the upper domain boundary
- Vary grid resolution and perform a qualitative grid convergence test
# References
##
[^1]:
<font size = "2">
Schneider, M., Gläser, D., Weishaupt, K., Coltman, E., Flemisch, B., Helmig, R., Coupling staggered-grid and vertex-centered finite-volume methods for coupled porous-medium free-flow problems. Journal of Computational Physics. 2023; 112042. https://doi.org/10.1016/j.jcp.2023.112042.
</font>
<font size = "5">
[^2]:
<font size = "2">
Koch, T, Flemisch, B, Helmig, R, Wiest, R, Obrist, D. A multiscale subvoxel perfusion model to estimate diffusive capillary wall conductivity in multiple sclerosis lesions from perfusion MRI data. Int J Numer Meth Biomed Engng. 2020; 36:e3298. https://doi.org/10.1002/cnm.
</font>
1. Heck, K., Coltman, E., Schneider, J., & Helmig, R. (2020). Influence of radiation on evaporation rates: A numerical analysis. Water Resources Research, 56, e2020WR027332. https://doi.org/10.1029/2020WR027332
[^3]:
<font size = "2">
Heck, K., Coltman, E., Schneider, J., & Helmig, R. (2020). Influence of radiation on evaporation rates: A numerical analysis. Water Resources Research, 56, e2020WR027332. https://doi.org/10.1029/2020WR027332
</font>
2. Schneider, M., Gläser, D., Weishaupt, K., Coltman, E., Flemisch, B., Helmig, R. (2023). Coupling staggered-grid and vertex-centered finite-volume methods for coupled porous-medium free-flow problems. Journal of Computational Physics. 112042. https://doi.org/10.1016/j.jcp.2023.112042.
[^4]:
<font size = "2">
Or, D., Lehmann, P., Shahraeeni, E. and Shokri, N. (2013), Advances in Soil Evaporation Physics—A Review. Vadose Zone Journal, 12: 1-16 vzj2012.0163. https://doi.org/10.2136/vzj2012.0163
</font>
3. Koch, T, Flemisch, B, Helmig, R, Wiest, R, Obrist, D. (2020). A multiscale subvoxel perfusion model to estimate diffusive capillary wall conductivity in multiple sclerosis lesions from perfusion MRI data. Int J Numer Meth Biomed Engng. 36:e3298. https://doi.org/10.1002/cnm.
[^5]:
<font size = "2">
Fetzer, Thomas:
Coupled Free and Porous-Medium Flow Processes Affected by Turbulence and
Roughness – Models, Concepts and Analysis, Universität Stuttgart. - Stuttgart: Institut für Wasser- und Umweltsystemmodellierung, 2018
</font>
4. Fetzer, Thomas: Coupled Free and Porous-Medium Flow Processes Affected by Turbulence and Roughness – Models, Concepts and Analysis, Universität Stuttgart. - Stuttgart: Institut für Wasser- und Umweltsystemmodellierung, 2018
5. Or, D., Lehmann, P., Shahraeeni, E. and Shokri, N. (2013), Advances in Soil Evaporation Physics—A Review. Vadose Zone Journal, 12: 1-16 vzj2012.0163. https://doi.org/10.2136/vzj2012.0163
6. Or, D. (2023, 31. March). https://emeritus.step.ethz.ch/the-step-group.html
[^6]:
<font size = "2">
Or, D. (2023, 31. March). https://emeritus.step.ethz.ch/the-step-group.html
</font>
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