Abstract
In this paper we discuss the application of a space-time discontinuous Galerkin finite element method for convection diffusion problems to the simulation of wet-chemical etching of microstructures. In the space-time DG method no distinction is made in the discretization between the space and time variables and discontinuous basis functions are used both in space and time. This approach results in an effcient numerical technique to deal with time-dependent flow domains as occur in wet-chemical etching, while main-taining a fully conservative discretization. The method offers great flexibility in mesh adaptation and special attention is given to the generation of an initial solution and mesh when there is no etching cavity yet. Numerical simulations of the etching of a two-dimensional slit are discussed for different regimes, namely diusion-controlled and convection-dominated etching. These results show good agreement with analytical results in the diffusion-controlled regime. Using a simple model for the fluid velocity the typical asymmetric etching cavities are obtained in the convection dominated regime and the results agree qualitatively well with those obtained from full Navier-Stokes simulations.
Original language | Undefined |
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Title of host publication | Proceedings of Fourth European Congress on Computational Methods in Applied Sciences, ECCOMAS 2004 |
Editors | P. Neittaanmäki, T. Rossi, K. Majava, O. Pironneau |
Place of Publication | Jyväskylä, Finland |
Publisher | University of Jyväskylä |
Pages | 1-17 |
Number of pages | 17 |
ISBN (Print) | 9513918688 |
Publication status | Published - 2004 |
Event | 4th European Congress on Computational Methods in Applied Sciences, ECCOMAS 2004 - Jyväskylä, Finland Duration: 24 Jul 2004 → 28 Jul 2004 Conference number: 4 |
Publication series
Name | |
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Publisher | University of Jyväskylä |
Conference
Conference | 4th European Congress on Computational Methods in Applied Sciences, ECCOMAS 2004 |
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Abbreviated title | ECCOMAS |
Country/Territory | Finland |
City | Jyväskylä |
Period | 24/07/04 → 28/07/04 |
Keywords
- EWI-12236
- IR-74621
- METIS-221830
- Wet chemical etching
- Discontinuous Galerkin finite element methods