turkmath.org

Numerical modeling replaces the expensive laboratory experiments if not used parallel to those for developing any technology in science and engineering. Numerical models can be used to understand the behavior of fluids that are essential to our existence and heavily involved in cutting edge technology development. For deeper understanding of the air -hence all aerospace industry-, blood flowing through our veins or spacecrafts traveling to Mars accurate numerical modelling of fluids is vital. This is why technology developers have an unending need for more accurate, faster, and cheaper numerical techniques. The principal component of any numerical model is the partial differential equation that defines the physical phenomena of interest. A fundamental prerequisite for an accurate numerical solution is the generation of a high-quality mesh. Nevertheless, despite continuously growing computer power, mesh generation can still be a challenging task that can easily account for large portions of the computational time. As a possible remedy to the mesh generation challenges, so-called cut discretization methods have gained much attention in recent years. In this talk we will first focus on the basics of fluid modelling and then discover the new fronts and exiting applications where fluids are involved.