SC²S Colloquium - December 18, 2013

Date:	December 18, 2013
Room:	02.07.023
Time:	3 pm, s.t.

Matthias Fischer: Efficient Algorithms for Solving the Black-Scholes Equation on Dimensionally Adaptive Sparse Grids

Im Rahmen dieser Bachelorarbeit werden Finite Elemente auf dimensionsadaptiven dünnen Gittern implementiert. Diese können zur Lösung von PDEs verwendet werden und sollen hier am Beispiel der Poisson- und Black-Scholes-Gleichung betrachtet werden. Besonderes Augenmerk liegt dabei auf der Effizienz der verwendeten Algorithmen und Datenstrukturen. Hierbei spielen vor allem die Optimierung des aufwändigen Up-Down-Verfahrens sowie Parallelisierung (durch mehrere Threads und Vektorisierung) eine wichtige Rolle.

Afaq Mustafa: Validation of Standard Best Practices for External Aerodynamics of an Automobile in Yawed Flow

The use of numerical methods is widely appreciated in the automotive industry in order to reduce the experimental effort in the wind tunnel, which is very expensive and limiting, in terms of the variety of vehicles that can be tested in a certain amount of time. In this respect, the aim of this study is the development of Best Practices for a Lattice Boltzmann CFD code under yawed flow conditions, in order to achieve the optimum balance between accuracy and computational efficiency. The performance and stability of the vehicle under a yaw angle is of utmost importance. The analysis of two different designs is carried out and the results are validated using experimental data from the manufacturer. The criteria for the performance and stability of a vehicle that are used for this study are side force, drag and lift, while the correlations of the roll and pitch moment are not examined thoroughly.