Sökning: "Anna-karin Tornberg"
Visar resultat 6 - 10 av 12 avhandlingar innehållade orden Anna-karin Tornberg.
6. Accuracy, efficiency and robustness for rigid particle simulations in Stokes flow
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
7. Integral equations and function extension techniques for numerical solution of PDEs
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
8. Spectral Accuracy in Fast Ewald Methods and Topics in Fluid Interface Simulation
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
9. Boundary integral methods for Stokes flow : Quadrature techniques and fast Ewald methods
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
10. Quadrature rules for boundary integral methods applied to Stokes flow
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