Simulation of turbulent convection processes is necessary for the analysis of the above mentioned problems. The simulation should run fast to allow parameter optimization. To achieve this goal research of parallel algorithms of Computational Fluid Dynamics (CFD) and development of codes running on multicore computers (optimized to clusters of SZE and Shaheen of KAUST) are necessary, to serve the integrated automated optimization in subproject 3 below and numerical analysis in subproject 2 below.

Research of continuous and discrete-time positive systems.

Some of the variables of the partial differential equations of CFD – because of it physical meaning – is positive (e.g. density, concentration, energy). Similarly the density type variables of traffic flow system models are positive. Preservation of these features during the numerical solutions to the algorithms is crucial for robust, effective and meaningful solutions. In this part of the project we examine and develop the theory of positivity preservation at numerical simulations.

Optimization methods for the research on hybrid electric vehicle.

Optimization of hybrid and electric vehicles is of great importance with special needs in several areas of the research. These optimization tasks are summed up in the third R&D project with the content items as follow.