Abstract The nonlinearity of the Navier–Stokes equations makes predicting the flow of fluid around rapidly moving small bodies highly resistant to all approaches save careful experiments or brute ...

This work presents a method for numerical simulation of viscous fluid flows based on the use of filtered Lagrangian Navier-Stokes equations. It is based on the hypothesis that the small scale motions ...

The input data are spatial coordinates (x, y) only taken at the domain boundaries. More details about the implementation and results from the training are available in "Physics-informed neural ...

The Navier-Stokes equations are a set of partial differential equations that describe the motion of fluid flow. They consist of three equations: one for the conservation of mass (continuity equation) ...

Euler equations are a simplified version of Navier-Stokes equations that neglect the viscosity and assume an inviscid fluid. They are often used for high-speed flows or ideal fluids.

The last of these modulation equations, which is related to vortex stretching, only appears in 3D problems. The technique of Reynolds averaging is also employed to obtain equations for the mean ...

In this paper, we propose a novel passive micromixer structure for high mixing efficiency based on the combination of multimixing principles. With a special structure, our proposed micromixer can ...

This work presents a method for numerical simulation of viscous fluid flows based on the use of filtered Lagrangian Navier-Stokes equations. It is based on the hypothesis that the small scale motions ...