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von Wolff, Lars

Lars von Wolff

M. Sc.

Research assistant
Institute of Applied Analysis and Numerical Simulation
Chair of Applied Mathematics

Contact

+49 711 685 65508
Email

Pfaffenwaldring 57
70569 Stuttgart
Deutschland
Room: 7.163

Publications

2022
1. L. von Wolff and I. S. Pop, “Upscaling of a Cahn–Hilliard Navier–Stokes model with precipitation and dissolution in a thin strip,” Journal of Fluid Mechanics, vol. 941, p. A49––, 2022, doi: DOI: 10.1017/jfm.2022.308.
  - BibTeX
  - Link
  BibTeX
  @article{vonwolff2022upscaling, abstract = {We consider a phase-field model for the incompressible flow of two immiscible fluids. This model extends widespread models for two fluid phases by including a third, solid phase, which can evolve due to e.g. precipitation and dissolution. We consider a simple, two-dimensional geometry of a thin strip, which can still be seen as the representation of a single pore throat in a porous medium. Under moderate assumptions on the Péclet number and the capillary number, we investigate the limit case when the ratio between the width and the length of the strip goes to zero. In this way, and employing transversal averaging, we derive an upscaled model. The result is a multi-scale model consisting of the upscaled equations for the total flux and the ion transport, while the phase-field equation has to be solved in cell problems at the pore scale to determine the position of interfaces. We also investigate the sharp-interface limit of the multi-scale model, in which the phase-field parameter approaches 0. The resulting sharp-interface model consists only of Darcy-scale equations, as the cell problems can be solved explicitly. Notably, we find asymptotic consistency, that is, the upscaling process and the sharp-interface limit commute. We use numerical results to investigate the validity of the upscaling when discontinuities are formed in the upscaled model.}, author = {von Wolff, Lars and Pop, Iuliu Sorin}, booktitle = {Journal of Fluid Mechanics}, doi = {DOI: 10.1017/jfm.2022.308}, issn = {00221120}, pages = {A49--}, publisher = {Cambridge University Press}, title = {Upscaling of a Cahn–Hilliard Navier–Stokes model with precipitation and dissolution in a thin strip}, url = {https://www.cambridge.org/core/article/upscaling-of-a-cahnhilliard-navierstokes-model-with-precipitation-and-dissolution-in-a-thin-strip/3BBBE1A060BA98782B938E270BD7B7A6}, volume = 941, year = 2022 }
  Link
  https://www.cambridge.org/core/article/upscaling-of-a-cahnhilliard-navierstokes-model-with-precipitation-and-dissolution-in-a-thin-strip/3BBBE1A060BA98782B938E270BD7B7A6
2021
1. C. Rohde and L. Von Wolff, “A ternary Cahn–Hilliard–Navier–Stokes model for two-phase flow with precipitation and dissolution,” Mathematical Models and Methods in Applied Sciences, vol. 31, Art. no. 01, 2021, doi: 10.1142/S0218202521500019.
  - BibTeX
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  BibTeX
  @article{doi:10.1142/S0218202521500019, abstract = { We consider the incompressible flow of two immiscible fluids in the presence of a solid phase that undergoes changes in time due to precipitation and dissolution effects. Based on a seminal sharp interface model a phase-field approach is suggested that couples the Navier–Stokes equations and the solid’s ion concentration transport equation with the Cahn–Hilliard evolution for the phase fields. The model is shown to preserve the fundamental conservation constraints and to obey the second law of thermodynamics for a novel free energy formulation. An extended analysis for vanishing interfacial width reveals that in this limit the sharp interface model is recovered, including all relevant transmission conditions. Notably, the new phase-field model is able to realize Navier-slip conditions for solid–fluid interfaces in the limit. }, author = {Rohde, Christian and Von Wolff, Lars}, doi = {10.1142/S0218202521500019}, eprint = {https://doi.org/10.1142/S0218202521500019}, journal = {Mathematical Models and Methods in Applied Sciences}, number = 01, pages = {1-35}, title = {A ternary Cahn–Hilliard–Navier–Stokes model for two-phase flow with precipitation and dissolution}, url = {/brokenurl# https://doi.org/10.1142/S0218202521500019 }, volume = 31, year = 2021 }
  Link
  /brokenurl# https://doi.org/10.1142/S0218202521500019
2. L. von Wolff, F. Weinhardt, H. Class, J. Hommel, and C. Rohde, “Investigation of Crystal Growth in Enzymatically Induced Calcite Precipitation by Micro-Fluidic Experimental Methods and Comparison with Mathematical Modeling,” Transp. Porous Media, vol. 137, Art. no. 2, 2021, doi: 10.1007/s11242-021-01560-y.
  - BibTeX
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  BibTeX
  @article{MR4231733, author = {von Wolff, Lars and Weinhardt, Felix and Class, Holger and Hommel, Johannes and Rohde, Christian}, doi = {10.1007/s11242-021-01560-y}, fjournal = {Transport in Porous Media}, issn = {0169-3913}, journal = {Transp. Porous Media}, mrnumber = {4231733}, number = 2, pages = {327--343}, title = {Investigation of Crystal Growth in Enzymatically Induced Calcite Precipitation by Micro-Fluidic Experimental Methods and Comparison with Mathematical Modeling}, url = {https://doi.org/10.1007/s11242-021-01560-y}, volume = 137, year = 2021 }
  Link
  https://doi.org/10.1007/s11242-021-01560-y
3. L. von Wolff, “The Dune-Phasefield Module release 1.0,” DaRUS, 2021, doi: 10.18419/darus-1634.
  - BibTeX
  BibTeX
  @article{darusLars, author = {von Wolff, Lars}, doi = {10.18419/darus-1634}, journal = {DaRUS}, publisher = {DaRUS}, title = {The Dune-Phasefield Module release 1.0}, version = {V1}, year = 2021 }
2020
1. C. Rohde and L. von Wolff, “Homogenization of non-local Navier-Stokes-Korteweg equations for compressible liquid-vapour flow in porous media,” SIAM J. Math. Anal., vol. 52, Art. no. 6, 2020, doi: 10.1137/19M1242434.
  - BibTeX
  - Link
  BibTeX
  @article{rohdevwolff20, author = {Rohde, Christian and von Wolff, Lars}, doi = {10.1137/19M1242434}, issn = {0036-1410}, journal = {SIAM J. Math. Anal.}, mrclass = {76M50 (76N99 76T10)}, mrnumber = {4182904}, number = 6, pages = {6155-6179}, title = {Homogenization of non-local Navier-Stokes-Korteweg equations for compressible liquid-vapour flow in porous media}, url = {https://doi.org/10.1137/19M1242434}, volume = 52, year = 2020 }
  Link
  https://doi.org/10.1137/19M1242434
2. C. Bringedal, L. Von Wolff, and I. S. Pop, “Phase Field Modeling of Precipitation and Dissolution Processes in Porous Media: Upscaling and Numerical Experiments,” Multiscale Modeling &amp$\mathsemicolon$ Simulation, vol. 18, Art. no. 2, Jan. 2020, doi: 10.1137/19m1239003.
  - BibTeX
  - Link
  BibTeX
  @article{Bringedal_2020, author = {Bringedal, Carina and Von Wolff, Lars and Pop, Iuliu Sorin}, doi = {10.1137/19m1239003}, journal = {Multiscale Modeling {\&}amp$\mathsemicolon$ Simulation}, month = {01}, number = 2, pages = {1076--1112}, publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})}, title = {Phase Field Modeling of Precipitation and Dissolution Processes in Porous Media: Upscaling and Numerical Experiments}, url = {https://doi.org/10.1137%2F19m1239003}, volume = 18, year = 2020 }
  Link
  https://doi.org/10.1137%2F19m1239003

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Lars von Wolff

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2022

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2021

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Lars von Wolff

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Publications

2022

BibTeX

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2021

BibTeX

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BibTeX

2020

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