In this webpage I present numerical results from two significant fluid and reaction-diffusion models:

• Bingham fluid flow

• Gray Scott model

Bingham Fluid Flow: Bingham fluids exhibit a yield stress, beyond which they flow like a viscous fluid. The numerical simulations focus on the velocity profiles and pressure gradients in various geometries, highlighting the transition between solid-like behavior below the yield stress and fluid-like motion when the yield point is exceeded. These results offer insight into industrial applications such as slurry transport and drilling mud flows.

Gray-Scott Model: A classic reaction-diffusion system, the Gray-Scott model is known for producing rich patterns through the interaction of two chemical species. Numerical simulations display the emergence of dynamic structures like spots, stripes, and waves, depending on the parameters of reaction rates and diffusion coefficients. These simulations illustrate pattern formation processes often seen in chemical and biological systems.

Please explore the following figures and animations to delve deeper into the simulation results and their implications for fluid mechanics and reaction-diffusion systems.