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| The rapid development of Computational Fluid Dynamics (CFD), computational mathematics and computers have enabled the shift of scientific interest to many new areas of research, such as biomechanics and bioengineering. These advancements in mathematics and technology broadened the scientific horizon and gave the opportunity and the means to many scientists to study non-linear phenomena in physics, mechanics and biology. | |
| The CFD researcher often has to struggle with a non-linear system of equations that describe the physical problem. To study biofluids flow, e.g. motion of blood in arteries, new methods that address the interaction of the fluid with the solid boundary (pulsating wall) are needed. The Fluid-Solid Interaction (FSI) makes the mathematics of the biological problems more complex and more difficult to be solved. The FSI approach requires large scale numerical computations, cutting edge computational power, and a new set of mathematical equations that can handle moving boundaries. The equations of fluid motion - Navier- Stokes equations - initially in Euler form have to change in order to describe the fluid motion due to deformation of the solid boundary that surrounds it. So, the Navier-Stokes equations are transformed into Euler-Lagrange form that takes under consideration the motion of the solid surfaces. The FSI approach has gained significant momentum over the last decade with promising results in the biomedical field. This growth can be sustained only when open access to knowledge can be available to the entire scientific community. |
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