Eigenvalue problem solver for evaporation-driven density instabilities in saturated porous media (doi:10.18419/darus-2577)

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Part 1: Document Description
Part 2: Study Description
Part 5: Other Study-Related Materials
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Document Description

Citation

Title:

Eigenvalue problem solver for evaporation-driven density instabilities in saturated porous media

Identification Number:

doi:10.18419/darus-2577

Distributor:

DaRUS

Date of Distribution:

2022-04-01

Version:

1

Bibliographic Citation:

Bringedal, Carina; Pieters, G. J. M.; Duijn, C. J. van, 2022, "Eigenvalue problem solver for evaporation-driven density instabilities in saturated porous media", https://doi.org/10.18419/darus-2577, DaRUS, V1

Study Description

Citation

Title:

Eigenvalue problem solver for evaporation-driven density instabilities in saturated porous media

Identification Number:

doi:10.18419/darus-2577

Authoring Entity:

Bringedal, Carina (Universität Stuttgart)

Pieters, G. J. M. (Utrecht University)

Duijn, C. J. van (Eindhoven University of Technology)

Grant Number:

327154368

Distributor:

DaRUS

Access Authority:

Bringedal, Carina

Depositor:

Bringedal, Carina

Date of Deposit:

2022-02-24

Holdings Information:

https://doi.org/10.18419/darus-2577

Study Scope

Keywords:

Earth and Environmental Sciences, Mathematical Sciences

Abstract:

This code solves the resulting eigenvalue problem when considering onset of density-driven instabilities in a semi-infinite saturated porous medium which is subject to an evaporative flux for water and no-flux for the salt concentration from the top boundary. The eigenvalue problem is a function of the wavenumber and time, which are hence input parameters to the eigenvalue problem.

Kind of Data:

Matlab code

Notes:

The main code to be run is EigValProblem.m, while the other files are supporting files used by the main code. The file readme.m explains the needed input parameters to EigValProblem.m and shows some examples on how to use EigValProblem.m

Methodology and Processing

Sources Statement

Data Access

Other Study Description Materials

Related Studies

Schollenberger, Theresa, 2022, "Replication Data for the numerical simulations in: Evaporation-driven density instabilities in saturated porous media", <a href="https://doi.org/10.18419/darus-2578">https://doi.org/10.18419/darus-2578</a>, DaRUS

Related Publications

Citation

Title:

C. Bringedal, T. Schollenberger, G. J. M. Pieters, C. J. van Duijn, R. Helmig, Evaporation-driven density instabilities in saturated porous media. Transport in Porous Media. 2022.

Identification Number:

10.1007/s11242-022-01772-w

Bibliographic Citation:

C. Bringedal, T. Schollenberger, G. J. M. Pieters, C. J. van Duijn, R. Helmig, Evaporation-driven density instabilities in saturated porous media. Transport in Porous Media. 2022.

Other Study-Related Materials

Label:

Basis_hom_Dirichlet.m

Notes:

text/x-objcsrc

Other Study-Related Materials

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Basis_hom_Robin.m

Notes:

text/x-objcsrc

Other Study-Related Materials

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Build_matrices.m

Notes:

text/x-objcsrc

Other Study-Related Materials

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Derivative.m

Notes:

text/x-objcsrc

Other Study-Related Materials

Label:

EigValProblem.m

Text:

Main file to be run

Notes:

text/x-objcsrc

Other Study-Related Materials

Label:

F_deriv_val.m

Notes:

text/x-objcsrc

Other Study-Related Materials

Label:

GenerateLaguerrePolynomials.m

Notes:

text/x-objcsrc

Other Study-Related Materials

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GroundstateDeriv.m

Notes:

text/x-objcsrc

Other Study-Related Materials

Label:

Laguerre_function.m

Notes:

text/x-objcsrc

Other Study-Related Materials

Label:

Laguerre_Gauss_quadrature.m

Notes:

text/x-objcsrc

Other Study-Related Materials

Label:

readme.m

Text:

Example file on how to run EigValProblem.m

Notes:

text/x-objcsrc