Sökning: "Anna-Karin Tornberg"
Visar resultat 6 - 10 av 11 avhandlingar innehållade orden Anna-Karin Tornberg.
6. 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
7. 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
8. 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
9. 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
10. Boundary integral methods for fast and accurate simulation of droplets in two-dimensional Stokes flow
Sammanfattning : Accurate simulation of viscous fluid flows with deforming droplets creates a number of challenges. This thesis identifies these principal challenges and develops a numerical methodology to overcome them. Two-dimensional viscosity-dominated fluid flows are exclusively considered in this work. LÄS MER