Drew, an oceanography graduate student, writes: “This, on my leg, is the incompressible form of the conservation of mass equation in a fluid, also known as the continuity equation. When people ask ...

When a fluid is in motion, it must move in such a way that mass is conserved. To see how mass conservation places restrictions on the velocity field, consider the steady flow of fluid through a duct ...

Fluid–structure interaction (FSI) encompasses the interdisciplinary study of fluid dynamics coupled with structural mechanics, where the mutually interactive behaviour of a viscous fluid and an ...

This is a preview. Log in through your library . Abstract A nonoverlapping domain decomposition algorithm is proposed to solve the linear system arising from mixed finite element approximation of ...

An in-depth understanding of the flow physics and the skills of mathematically analysing the fluid flow problems are important attributes of mechanical engineers and future scientific leaders. These ...

Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one. Mathematicians have suspected for years that under specific ...

For centuries, mathematicians have tried to prove that Euler’s fluid equations can produce nonsensical answers. A new approach to machine learning has researchers betting that “blowup” is near. For ...