Internal Research Project I-07

Capturing local details in fluid-flow simulations: options, challenges and applications using marker-and-cell schemes

Duration

September 2022 - August 2024

Publications in scientific journals

  1. Other

    1. Lipp, M. G. (2024). Capturing local details in fluid-flow simulations : options, challenges and applications using marker-and-cell schemes. Universität Stuttgart. https://doi.org/10.18419/OPUS-14910
  2. Conference papers

    1. Lipp, M., & Helmig, R. (2020). A Locally-Refined Locally-Conservative Quadtree Finite-Volume Staggered-Grid Scheme. In G. Lamanna, S. Tonini, G. E. Cossali, & B. Weigand (Eds.), Droplet Interactions and Spray Processes (pp. 149--159). Springer International Publishing.
  3. (Journal-) Articles

    1. Koch, T., Gläser, D., Weishaupt, K., Ackermann, S., Beck, M., Becker, B., Burbulla, S., Class, H., Coltman, E., Emmert, S., Fetzer, T., Grüninger, C., Heck, K., Hommel, J., Kurz, T., Lipp, M., Mohammadi, F., Scherrer, S., Schneider, M., … Flemisch, B. (2021). DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling. Computers & Mathematics with Applications, 81, 423–443. https://doi.org/10.1016/j.camwa.2020.02.012
    2. Coltman, E., Lipp, M., Vescovini, A., & Helmig, R. (2020). Obstacles, Interfacial Forms, and Turbulence: A Numerical Analysis of Soil--Water Evaporation Across Different Interfaces. Transport in Porous Media, 134(2), Article 2. https://doi.org/10.1007/s11242-020-01445-6

Research

About this project

Complex local flow structures appear in a wide range of free-flow systems, e.g. vortices build after obstacles. For understanding and predicting numerous processes, it is important to capture local details in free fluid flow, which is the focus of this work.

Particularly, we are interested in local flow structures in free flow coupled to porousmedium flow. A better resolution of local structures in free flow can be achieved by refining computational grids, which is studied in this thesis.

Particularly, we focus on finite-volume/finite-difference methods for the two-dimensional Navier-Stokes equations with constant density and constant viscosity, using the markerand- cell method (pressures in cell centers, velocities on cell faces) and rectangular control volumes.

There exists a variety of methods, with a range of characteristics, which can be used to refine computational grids. The first objective of this work is to develop for many different available approaches one common way of description of a class of methods within our focus and to display their similarities and differences. The second objective is to gain insight and in-detail understanding of the local-refinement-methods’ behavior by examining one chosen method before numerical solution, i.e. by examining local truncation errors. The third objective is to gain further understanding of the local-refinement-methods’ behavior as well as display examples, in which the chosen method is beneficial when neglecting computational-efficiency issues, by examining our chosen method after numerical solution, i.e. by examining actual numerical solutions.

Contact

This image shows Rainer Helmig

Rainer Helmig

Prof. Dr.-Ing. Dr.-Ing. h.c.

Principal Investigator, Former Spokesperson, Research Projects A02 and C02

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