photo Anna Hållams
|
Anna-Karin TornbergAssociate Professor of Numerical AnalysisResearch fellow of the Royal Swedish Academy of Sciences (KVA). <annak@nada.kth.se> Telephone: +46 8 790 62 66, fax: +46 8 790 09 30 Address: CSC/NA, KTH, S-100 44 Stockholm, Sweden. Visiting address: Lindstedtsvägen 3, room 4517 |
|
In the Spring of 2009, I will teach a class on "Boundary Integral Methods for Stokes flow" (together with K. Gustavsson). Information about the course can be found here. |
|
|
I am currently on leave from my position as Associate Professor of Mathematics at the Courant Institute of Mathematical Sciences, New York University. My (not updated) homepage there is found here . |
|
Open positions - Postdoc, PhD student and Master Thesis projectI am currently looking for one PhD-student - Deadline for applicaton Aug 14, 2009. The official ad can be found at:PhD position in Numerical Analysis, or for the Swedish version: Doktorandtjänst i Numerisk Analys. As it says in the ad: "This specific research project will be focused on developing numerical methods for systems with dynamic geometries within fluid mechanics. Examples of such systems are those with time-dependent interfaces that are separating different phases and materials, such as bubbly flows, immiscible fluids consisting of oil and water in oil reservoirs, or fiber suspensions as in paper and pulp manufacturing". I realize this is not very specific. The reason for this is that there is some flexibility in defining the PhD project. There is one track where one would consider the design and development of a numerical method to simulate the effect of surfactants in multiphase flows. This involves the challenge of solving a PDE on a moving interface - a curve in 2D or a surface in 3D. This would build on work that I am currently doing with my PhD student Shilpa Khatri at NYU. One could also consider a different track, based on boundary integral equations, that would deal with large fiber simulations (ongoing work with Dr. Katarina Gustavsson and my PhD student Oana Wiklund). This could include the development of a hybrid fast summation method for Stokes flow (ongoing for Laplace's eqn with Prof. Greengard at NYU) and the development of an algorithm for multiscale simulations building on the parallel code that exist fot the detailed fiber simulations. GET IN TOUCH! and let us discuss! Master's thesis project: The dynamics of flexible fibers are very intriguing. As they are compressed, for example in a shear flow, they store elastic energy, that they later can release to the fluid, leading to a strong non-Newtonian behavior of a fluid-fiber suspension. I have developed an algorithm to simulate such fibers, based on a boundary integral method. In this project, we want to consider the case where the resting state of the fiber is not straight, but rather some other shape, like helical (think DNA!). GET IN TOUCH! to discuss this project, or other possibilities! |
|
Research InterestsNumerical algorithms for solving PDEs in dynamic geometries, with the main application to multiphase flows. Interface tracking methods, including the development of a new surface representation for dynamic interfaces, the development of algorithms for PDEs on these interfaces and the analysis and improvement of associated regularization techniques. Boundary integral methods, including slender body theory and fast summation methods needed to accelerate the simulations.
I am currently supervising the following PhD students: Dag Lindbo Oana Wiklund Shilpa Khatri (at NYU) and a postdoc, Stefan Engblom |
|
|
|
I am the coordinator of the focus area Micro and Complex flows within the Linne FLOW Centre at KTH. This working group is joining researchers at KTH performing theoretical, numerical and experimental work within this exciting field. Our research strategy can be found here . |
Education and backgroundPhD in Numerical Analysis, KTH (2000).Postdoc (forskarassistent), NADA, KTH (2000-2001). Postdoc, Courant Institute of Mathematical Sciences, New York University (NYU) (2001-2003). Assistant Professor of Mathematics, Courant Institute of Mathematical Sciences, NYU (2003). Promoted to Associate Professor with tenure at Courant Institute (2007). Docent in Numerical Analysis at KTH (2007). Distinctions/Awards:Alfred P. Sloan Research Fellow, 2006."The Sloan awards are intended to enhance the careers of the very best young faculty members in specified fields of science within North America". Research fellow of the Royal Swedish Academy of Sciences (KVA), June 2005. "Awards given to exceptional ly gifted researches to carry out their research in Sweden". Carl-Axel Fröberg prize, 2004. Awarded by the journal BIT Numerical Mathematics, for the paper: Multi-Dimensional Quadrature of Singular and Discontinuous Functions. (42:644-669, 2002). Leslie Fox First Prize in Numerical Analysis, 2001. This award is an international prize given annually to a young numerical analyst. Werthen fellowship, 2001. A Swedish prize awarded by the Royal Swedish Academy of Engineering Sciences (IVA). President's fellowship (excellenstjänst) awarded at KTH (1997-2000). Awarded to students with "an excellent record and strong potential for PhD studies". ServicesBoard member of the Linne FLOW Centre at KTH, and coordinator of focus area Micro and Complex flows.Associate editor for BIT Numerical Mathematics Editor, Mathematics in Industry book series , Springer Verlag. |
Up to the Numerical Analysis home page.
