Home About Upload Latest Additions Statistics Contact
UT Proceedings
UT Student Theses
Dutch Academic Output Dutch Dissertations EU Publications (OpenAIRE)
Printversion
Advanced search

Two fluid space-time discontinuous Galerkin finite element method. Part I: numerical algorithm

Share/Save/Bookmark

Sollie, W.E.H. and Bokhove, O. and Vegt van der, J.J.W. (2009) Two fluid space-time discontinuous Galerkin finite element method. Part I: numerical algorithm. [Report]

[img]
Preview
PDF
404Kb
Abstract:A novel numerical method for two fluid flow computations is presented, which combines the space-time discontinuous Galerkin finite element discretization with the level set method and cut-cell based interface tracking. The space-time discontinuous Galerkin (STDG) finite element method offers high accuracy, an inherent ability to handle discontinuities and a very local stencil, making it relatively easy to combine with local {\it hp}-refinement. The front tracking is incorporated via cut-cell mesh refinement to ensure a sharp interface between the fluids. To compute the interface dynamics the level set method (LSM) is used because of its ability to deal with merging and breakup. Also, the LSM is easy to extend to higher dimensions. Small cells arising from the cut-cell refinement are merged to improve the stability and performance. The interface conditions are incorporated in the numerical flux at the interface and the STDG discretization ensures that the scheme is conservative as long as the numerical fluxes are conservative.
Item Type:Report
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:
Link to this item:http://purl.utwente.nl/publications/68559
Official URL:http://www.math.utwente.nl/publications
Export this item as:BibTeX
EndNote
HTML Citation
Reference Manager

 

Repository Staff Only: item control page