Directly to content
  1. Publishing |
  2. Search |
  3. Browse |
  4. Recent items rss |
  5. Open Access |
  6. Jur. Issues |
  7. DeutschClear Cookie - decide language by browser settings

An Unfitted Higher-Order Discontinuous Galerkin Method for Incompressible Two-Phase Flow with Moving Contact Lines

Heimann, Felix

[thumbnail of publication_210713.pdf]
Preview
PDF, English
Download (26MB) | Terms of use

Citation of documents: Please do not cite the URL that is displayed in your browser location input, instead use the DOI, URN or the persistent URL below, as we can guarantee their long-time accessibility.

Abstract

The author presents an unfitted discontinuous Galerkin method for incompressible two-phase flow applicable to dynamic regimes with significant surface tension. The method is suitable for simulations in complex geometries and a recursive algorithm is proposed, which allows the generation of piecewise linear sub-triangulations re- solving both the domain boundaries and the interface between the two immiscible phases. Hence, discontinuous finite element spaces can be employed to capture the irregularities in the solution along the interface, i.e. the jump in the pressure field and in the velocity derivatives. While the sub-triangulation is based on a linear Cartesian cut-cell approach, its resolution is decoupled from the resolution of the finite element mesh thus enabling the application of higher-order finite element spaces. The time development of the two subdomains is realized by level set methods and an unfitted discretization for the solution of the corresponding equations is described. Multiple approaches for the numerical treatment of surface tension in the context of unfitted discretizations are discussed and compared. Furthermore, these methods are extended to allow simulations with contact lines taking into account the occurrence of microscopic deformations of the contact angle. All proposed methods are verified by numerical test simulations in two and three dimensions.

Document type: Dissertation
Supervisor: Bastian, Prof. Dr. Peter
Date of thesis defense: 15 July 2013
Date Deposited: 07 Aug 2013 09:25
Date: 2013
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Institut für Mathematik
Service facilities > Interdisciplinary Center for Scientific Computing
DDC-classification: 004 Data processing Computer science
500 Natural sciences and mathematics
510 Mathematics
530 Physics
About | FAQ | Contact | Imprint |
OA-LogoDINI certificate 2013Logo der Open-Archives-Initiative