Sökning: "Anna-karin Tornberg"

Visar resultat 6 - 10 av 12 avhandlingar innehållade orden Anna-karin Tornberg.

  1. 6. Accuracy, efficiency and robustness for rigid particle simulations in Stokes flow

    Författare :Anna Broms; Anna-Karin Tornberg; Mattias Sandberg; Eric Keaveny; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Stokes flow; rigid particles; accuracy; fundamental solutions; method of images; multiblob; contact avoiding; complementarity problem; barrier method; elliptic PDE; grid optimisation; pair-correction; boundary integral equations; Stokesflöde; noggrannhet; stela partiklar; fundamentallösningar; randintegralekvation; reflektionspunkter; multiblob; kontaktundvikande algoritmer; komplementaritetsproblem; barriärmetod; elliptisk PDE; gridoptimering; parkorrektion; Numerical Analysis; Numerisk analys;

    Sammanfattning : The thesis concerns simulation techniques for systems of nano- to micro-scaled rigid particles immersed in a viscous fluid, ubiquitous in nature and industry. With negligible fluid inertia, the set of PDEs known as the Stokes equations can be used to model the hydrodynamics. LÄS MER

  2. 7. Integral equations and function extension techniques for numerical solution of PDEs

    Författare :Fredrik Fryklund; Anna-Karin Tornberg; Alex Barnett; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Sammanfattning : Today many phenomena from science and engineering can be simulated accurately thanks to computational methods. Still, many challenges remain, one of them being close interface interactions when simulating e.g. the dynamics of a substance concentration in multiphase flows at the micro level. LÄS MER

  3. 8. Spectral Accuracy in Fast Ewald Methods and Topics in Fluid Interface Simulation

    Författare :Dag Lindbo; Anna-Karin Tornberg; Michael S. Siegel; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning :   This work contains two separate but related parts: one on spectrally  accurate and fast Ewald methods for electrostatics and viscous flow,  and one on micro- and complex fluid interface problems.  In Part I we are concerned with fast and spectrally accurate methods  to compute sums of slowly decaying potentials over periodic  lattices. LÄS MER

  4. 9. Boundary integral methods for Stokes flow : Quadrature techniques and fast Ewald methods

    Författare :Oana Marin; Anna-Karin Tornberg; Anita Layton; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; boundary integral; Stokes flow; quadrature rule; Ewald decomposition;

    Sammanfattning : Fluid phenomena dominated by viscous effects can, in many cases, be modeled by the Stokes equations. The boundary integral form of the Stokes equations reduces the number of degrees of freedom in a numerical discretization by reformulating the three-dimensional problem to two-dimensional integral equations to be discretized over the boundaries of the domain. LÄS MER

  5. 10. Quadrature rules for boundary integral methods applied to Stokes flow

    Författare :Oana Marin; Anna-Karin Tornberg; Fritz Bark; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Computer science; Datavetenskap;

    Sammanfattning :   Fluid phenomena dominated by viscous effects can, in many cases, be modeled by the Stokes equations. The boundary integral form of the Stokes equations reduces the number of degrees of freedom in a numerical discretization by reformulating the threedimensional problem to two-dimensional integral equations to be discretized over the boundaries of the domain. LÄS MER