Research Interest
• Shape optimization with PDE constraints
• Free boundary problems
• Computational fluid dynamics
• Mathematical modelling
• Numerical analysis.
Some selected work on Fluid dynamics : free moving boundaries:
Free surface flow in annular domain
Sloshing tank
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 animation below is a model of a circular domain (radius 0.7) with a fluid about it. A "gravity like force" fx=−10x,fy=−10y. keeps the fluid on top of the circular domain. The motion of the fluid is triggered by an initial velocity.
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.
Vortex control in channel flow
Flow around obstacle in 3D
Contact
Henry Kasumba (PhD)
Department of Mathematics
Makerere University
Phone: +256-414-540692
Email: kasumba@cns.mak.ac.ug
Dr. Henry Kasumba
