Space-Time Discontinuous Galerkin Methods for Convection-Diffusion Problems - Application to Wet-Chemical Etching

J.J.S. Janivita Joto Sudirham

Research output: ThesisPhD Thesis - Research UT, graduation UTAcademic

Abstract

In this thesis we discuss space-time discontinuous Galerkin (DG) finite element methods for transport phenomena in incompressible flows. The methods, which simultaneously discretize the equations in space and time, provide the necessary flexibility to deal with time deforming meshes and mesh adaptation. In particular, we discuss space-time DG methods for the advection-diffusion equation, which governs the concentration of the acid fluid, and for the incompressible Navier-Stokes equations to model the flow of the acid fluid inside and outside the etching cavity. We provide a detailed theoretical analysis of the stability of the newly developed methods, as well as some simple numerical tests to investigate the accuracy of the methods.
LanguageUndefined
Awarding Institution
  • University of Twente
Supervisors/Advisors
  • van der Vegt, Jacobus J.W., Supervisor
  • van Damme, Rudolf Martinus Josephus, Advisor
Thesis sponsors
Award date8 Dec 2005
Place of PublicationZutphen, The Netherlands
Publisher
Print ISBNs90-365-2287-0
Publication statusPublished - 8 Dec 2005

Keywords

  • METIS-226257
  • EWI-12186
  • IR-50890

Cite this

Janivita Joto Sudirham, J. J. S. (2005). Space-Time Discontinuous Galerkin Methods for Convection-Diffusion Problems - Application to Wet-Chemical Etching. Zutphen, The Netherlands: University of Twente.
Janivita Joto Sudirham, J.J.S.. / Space-Time Discontinuous Galerkin Methods for Convection-Diffusion Problems - Application to Wet-Chemical Etching. Zutphen, The Netherlands : University of Twente, 2005. 152 p.
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abstract = "In this thesis we discuss space-time discontinuous Galerkin (DG) finite element methods for transport phenomena in incompressible flows. The methods, which simultaneously discretize the equations in space and time, provide the necessary flexibility to deal with time deforming meshes and mesh adaptation. In particular, we discuss space-time DG methods for the advection-diffusion equation, which governs the concentration of the acid fluid, and for the incompressible Navier-Stokes equations to model the flow of the acid fluid inside and outside the etching cavity. We provide a detailed theoretical analysis of the stability of the newly developed methods, as well as some simple numerical tests to investigate the accuracy of the methods.",
keywords = "METIS-226257, EWI-12186, IR-50890",
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year = "2005",
month = "12",
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isbn = "90-365-2287-0",
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Janivita Joto Sudirham, JJS 2005, 'Space-Time Discontinuous Galerkin Methods for Convection-Diffusion Problems - Application to Wet-Chemical Etching', University of Twente, Zutphen, The Netherlands.

Space-Time Discontinuous Galerkin Methods for Convection-Diffusion Problems - Application to Wet-Chemical Etching. / Janivita Joto Sudirham, J.J.S.

Zutphen, The Netherlands : University of Twente, 2005. 152 p.

Research output: ThesisPhD Thesis - Research UT, graduation UTAcademic

TY - THES

T1 - Space-Time Discontinuous Galerkin Methods for Convection-Diffusion Problems - Application to Wet-Chemical Etching

AU - Janivita Joto Sudirham, J.J.S.

N1 - Collaboration with Prof. M. Elwenspoek (MESA+, Electrical Engineering)

PY - 2005/12/8

Y1 - 2005/12/8

N2 - In this thesis we discuss space-time discontinuous Galerkin (DG) finite element methods for transport phenomena in incompressible flows. The methods, which simultaneously discretize the equations in space and time, provide the necessary flexibility to deal with time deforming meshes and mesh adaptation. In particular, we discuss space-time DG methods for the advection-diffusion equation, which governs the concentration of the acid fluid, and for the incompressible Navier-Stokes equations to model the flow of the acid fluid inside and outside the etching cavity. We provide a detailed theoretical analysis of the stability of the newly developed methods, as well as some simple numerical tests to investigate the accuracy of the methods.

AB - In this thesis we discuss space-time discontinuous Galerkin (DG) finite element methods for transport phenomena in incompressible flows. The methods, which simultaneously discretize the equations in space and time, provide the necessary flexibility to deal with time deforming meshes and mesh adaptation. In particular, we discuss space-time DG methods for the advection-diffusion equation, which governs the concentration of the acid fluid, and for the incompressible Navier-Stokes equations to model the flow of the acid fluid inside and outside the etching cavity. We provide a detailed theoretical analysis of the stability of the newly developed methods, as well as some simple numerical tests to investigate the accuracy of the methods.

KW - METIS-226257

KW - EWI-12186

KW - IR-50890

M3 - PhD Thesis - Research UT, graduation UT

SN - 90-365-2287-0

PB - University of Twente

CY - Zutphen, The Netherlands

ER -

Janivita Joto Sudirham JJS. Space-Time Discontinuous Galerkin Methods for Convection-Diffusion Problems - Application to Wet-Chemical Etching. Zutphen, The Netherlands: University of Twente, 2005. 152 p.