EEMCS

This is the latest version of this eprint.

Full text available as:

	PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 404 Kb
	PDF (Updated version of Memorandum 1909 and Memorandum 1910 jointly) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 2802 Kb

Official URL: http://www.math.utwente.nl/publications

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 -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.

Available Versions of this Item

• A space-time discontinuous Galerkin finite element method for two-fluid problems (deposited 30 August 2007)
  • Two fluid space-time discontinuous Galerkin finite element method. Part I: Numerical algorithm (deposited 23 November 2009)
    [Currently Displayed]

Export this item as:

• BibTeX
• XML

To correct this item please ask your editor

Repository Staff Only: edit this item