Particle Flow Simulation
Particulate flows are of high scientific and technological interest with lots of applications.The understanding of such flows is important in chemical engineering (separation),life science (blood flow) and basic understanding of nature (sedimentation in ocean or river beds). There is still a lack of accurate and efficient solvers. Even with the computer power nowadays on big research and industry clusters the efficiency of a solver is still crucial especially for industrial applications. Methods for particulate flows can be separated in two general approaches: The first one is the so called Lagrangian approach which uses a mesh fitted to the surfaces of the particles for imposing the boundary conditions. The second group are immersed boundary methods. A good overview can be found in . For more literature concerning the method in general please contact me via email. In immersed boundary methods all calculations are done on a fixed Cartesian grid. It is not needed to remesh in every timestep in order to be conform with the geometry. Therefore the key of this method is, to impose the presence of the particle on the flow without remeshing. In our code we use a discontinuous galerkin method with cut cells. In this project some parameter studies using the current immersed boundary solver should be carried out. Therefore already implemented test cases as well as new ones should be considered. Additionally possible extensions and improvements should be investigated and tested.
Two IREP students can work on this project.
Literature and preparation
 R. Mittal and G. Iaccarino. Immersed Boundary Methods. Annual Review of Fluid
Mechanics, 37(1):239-261, 2005.
Pre-requisites or requirements for the project
• Basic knowledge of numerical methods for ODEs/PDEs
• Basic knowledge of object orientated programming
until end of August 2019