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 UT

    178 Downloads (Pure)

    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.
    Original 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.
    @phdthesis{9e9eba32857244e7a4ceb27e88e42abb,
    title = "Space-Time Discontinuous Galerkin Methods for Convection-Diffusion Problems - Application to Wet-Chemical Etching",
    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",
    author = "{Janivita Joto Sudirham}, J.J.S.",
    note = "Collaboration with Prof. M. Elwenspoek (MESA+, Electrical Engineering)",
    year = "2005",
    month = "12",
    day = "8",
    language = "Undefined",
    isbn = "90-365-2287-0",
    publisher = "University of Twente",
    address = "Netherlands",
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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 UT

    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.