Henry Kasumba Profile

Welcome to my page.

Henry KASUMBA, M.Sc-Dipl-Ing. Dr

Former PhD Student Karl Franzens University/ Graz University of Technology
and member of  Doctoral School-Numerical Simulations in Technical sciences

Doctoral School-Project Project 5: Shape Optimization in Fluids (G. Brenn, K. Kunisch)

Former PhD Supervisor Karl KUNISCH, o.Univ.-Prof. Dr.

Education

2004  B.Sc(Educ). at Makerere University Kampala, Uganda
2005  Eindhoven University of Technology, The Netherlands
2006  Johannes Kepler University Linz, Austria
2007-2010- Karl Franzens University Graz, AUSTRIA
2011-           RICAM, Linz, Austria

Talks/ Seminars and events

Events:

April-2010: Visit to Charles University Prague,Czech Republic
Nov-2009 : Visit to TU Munich Germany

September 2009: Workshop on first tutorial on freefem++ Pde solver. Institut Henri Poincaré (IHP) 11, rue Pierre et Marie Curie, Paris (France)
June 2009: Workshop Non-Linear Pdes and Free boundary problems -University of Warwick (UK)
March 2007 -Participant Modeling week. Technical University Eindhoven Netherlands .
2006- ECMI Modelling week Kongens Lyngby, Copenhagen, Denmark 2006.

Talks

* Vortex Control of Instationary channel flows using translation invariant cost functionals (CANUM) France 2012
* Vortex Control of Instationary channel flows using translation invariant cost functionals TU Munich German 2012
* On Free surface PDE constrained Shape Optimization Problems. AFG 2011 Toulouse France
* Some Insights into Free surface-Shape optimization coupled problem (July 2009)
* Shape optimization if viscous flows in an open channel with a bump and obstacle (2009)
* On computation of the continuous gradient in shape optimization problems for the Navier-Stokes equations (University of Graz-Austria) 2008
* Indexing and reconstruction using deep structure Johannes Kepler University Linz -Austria (2007).
* Uzawa-type methods for the obstacle problem. Johannes Kepler University Linz -Austria (2007).
* Effects of gravity on contrast agent dispersion in blood vessels TU/e The Netherlands (2007).
* Discretization of variational Inequalities of the first Kind. Johannes Kepler University Linz -Austria (Dec-2006).
* On identification of doping profiles in semiconductor devices. Jku 2006.
* Mathematical models for a fishing rod and the action of casting with a bait. Kongens Lyngby, Copenhagen, Denmark 2006.

 Publications
[9.] H. KASUMBA, Shape optimization approaches to free surface problems, Int. j. numer. methods fluids (To appear)
[8.]   H. KASUMBA and K. KUNISCH, A. LAURAIN, A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem, submitted (2013).
[7.] E. F. CARA ,T. HORSINY and H. KASUMBA, Some inverse and control problems for fluids.  Ann. Math. Blaise Pascal 20 (2013), no. 1, 101–138.
[6.]  H. KASUMBA and K. KUNISCH, On computation of shape Hessian of the cost functional without shape sensitivity of the state variable, Journal of Optimization Theory and Applications,  DOI: 10.1007/s10957-013-0520-4.

[5.]  H. KASUMBA and K. KUNISCH, Vortex control of instationary channel flows using translation invariant cost functionals . Comput. Optim. Appl. 55 (2013), no. 1, 227–263.

[4.]  H. KASUMBA and K. KUNISCH, On a free surface PDE constrained shape optimization problem. Appl. Math. Comput. 218 (2012), no. 23, 11429–11450.

[3.]  H. KASUMBA and K. KUNISCH, Vortex control in channel flows using translation invariant cost functionals. Comput. Optim. Appl. 52 (2012), no. 3, 691–717.

[2.]  H. KASUMBA and K. KUNISCH, On shape sensitivity analysis of the cost functional without shape sensitivity of the state variable.  Control and Cybernet. 40 (2011), no. 4, 989–1017.
[1.]  H. KASUMBA and K. KUNISCH, Shape design optimization for viscous flows in open channel with a bump and an obstacle. Methods and Models in Automation and Robotics (2010), 284-289 doi:10.1109/MMAR.2010.5587219.

Theses, Technical Reports and other Articles

[1.] Optimal Shape Design Using Translational Invariant Cost Functionals in Fluid Dynamics, PhD Thesis University of Graz-Austria. Nov 2010 http://ema2.uni-graz.at:8090/livelinkdav2/node/27/Kasumba_Henry%2020.10.2010.pdfhttp: 
[2.] Uzawa-Type Methods For The Obstacle Problem, Diploma Thesis. Institute of Computational
Mathematics, JKU Linz, July 2007. Copy available at http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/kasumba_dipl.pdf
[3.] Henry kasumba, Stephen L. Keeling, Markus Müller, Decay estimate addendum Revision of the theory of tracer transport and convolution model of DCE-MRI. SFB-Report 2010-022, Graz, Austria, 2010.
[4.] Henry kasumba, Tefa kaisara, Vidar Hrafnkelsson, Konstantin Lofink , Joanna Sylvia Pelc, Yayun Zhou, Ute Ziegler. Mathematical Models for a Fishing Rod and the Action of Casting with a Bait. ECMI modelling week report. Copy available athttp://www2.mat.dtu.dk/people/M.P.Soerensen/ModellingWeek/team5.pdf
[5.] Effects of gravity on contrast agent dispersion in blood vessels, Modeling Week Report -TU Eindhoven. March 2007

Educational Links

http://www1.mate.polimi.it/CN/CSFluid/index.php3

Useful links and videos

Some work on Fluid dynamics

Free moving boundaries:

To handle moving boundaries in some fluid flow problems you can apply the arbitrary Lagrangian-Eulerian (ALE ) formulation . The method covers situations in which the topology of the geometry does not change during the simulation and a suitable PDE for the mesh velocity exists.

In the video above is a model of a circular domain (radius 0.7) with a fluid about it. A "gravity like force"  \(f_x=-10x, f_y=-10y\).  keeps the fluid on top of the circular domain. The motion of the fluid is triggered by an initial velocity.

Sloshing Tank


The sloshing of fluid in a tank is a well-studied problem that has applications in a number of practical situations. The problem is relevant to
a) the safety of transporting fluids in tankers;
b) the automotive, aerospace and shipbuilding industries.
Fluid sloshing in road tankers may result in overturning of the vehicle, and resonant movement of fluid within ship cargo tanks is also of concern. The use of fluid-filled tanks is also used to act as dampers on the motion of city buildings in high winds.

The fluid motion is modeled with the incompressible Navier-Stokes equations. The fluid is initially at rest in a rectangular tank. The motion is driven by the gravity vector swinging back and forth, pointing up to 4 degrees away from the downward y direction at its extremes.


Some useful Link:

Cygwin installation under windows
http://www2.warwick.ac.uk/fac/sci/moac/currentstudents/peter_cock/cygwin/part2/