04-10-0518-vu Selected Topics in Analysis

Course offering details

Instructors: Dr.-Ing. Tomislav Maric

Event type: Lecture & Exercise

Org-unit: Dept. 04 - Mathematics

Displayed in timetable as: Sel Topics in Ana

Subject:

Crediting for:

Hours per week: 3

Language of instruction: Englisch

Min. | Max. participants: - | -

Literature:
Tryggvason, G., Scardovelli, R., & Zaleski, S. (2011). Direct numerical simulations of gas–liquid multiphase flows. Cambridge University Press. Moukalled, Fadl, L. Mangani, and Marwan Darwish. The finite volume method in computational fluid dynamics. Vol. 6. Berlin, Germany:: Springer, 2016.

Preconditions:
recommended: depending on topic, typically Functional Analysis

Official Course Description:
Lectures
Using the unstructured Finite Volume Method to discretize Partial Differential Equations.
Applying the FVM discretization of single-field Navier-Stokes Equations for incompressible two-phase flows.
Understanding the segregated solution algorithms for the discretized single-field Navier-Stokes Equations for incompressible two-phase flows.
Understanding the challenges of the unstructured FVM discretization of single-field Navier-Stokes equations, for example: approximating surface tension forces and handling high density ratios.
Understanding the sub-algorithms of Lagrange / Euler Interface Advection methods for fluid interfaces: the Volume-of-fluid method, the Level Set method, the Front Tracking method, their hybrids (Level Set / Volume of Fluid and Level Set / Front Tracking), as well as Parcel (Particle) in Cell method for droplet/particle multiphase flows.

Exercises
Understanding the main aspects of object-oriented and generic programming in the C++ programming language and the software design patterns used to build modular numerical software, with the focus on Lagrange / Euler interface advection methods.
Implementation of the Level Set method in the open-source software OpenFOAM, understanding its benefits and drawbacks.
Implementation of numerical models in OpenFOAM for Parcel in Cell numerical method for droplet/particle flows.
Combininig version control, simulation parameterization and automatic testing to automate verification and validation tests for speeding up research of numerical methods for two-phase flows.

Small group(s)
This course is divided into the following small groups:
  • Selected Topics in Analysis

    Dr.-Ing. Tomislav Maric

    Fri, 22. Oct. 2021 [13:30]-Fri, 18. Feb. 2022 [15:10]

Literature
Appointments
Date From To Room Instructors
1 Wed, 20. Oct. 2021 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
2 Wed, 27. Oct. 2021 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
3 Wed, 3. Nov. 2021 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
4 Wed, 10. Nov. 2021 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
5 Wed, 17. Nov. 2021 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
6 Wed, 24. Nov. 2021 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
7 Wed, 1. Dec. 2021 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
8 Wed, 8. Dec. 2021 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
9 Wed, 15. Dec. 2021 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
10 Wed, 12. Jan. 2022 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
11 Wed, 19. Jan. 2022 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
12 Wed, 26. Jan. 2022 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
13 Wed, 2. Feb. 2022 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
14 Wed, 9. Feb. 2022 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
15 Wed, 16. Feb. 2022 13:30 15:10 >Digitaler Veranstaltungstermin Dr.-Ing. Tomislav Maric
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Instructors
Dr.-Ing. Tomislav Maric