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 ...

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) ...

Repository for the project related to the "High Performance Scientific Computing in AeroSpace" course. The objective was to develop a high-performance solver for the incompressible Navier–Stokes ...

This paper concerns the two-dimensional Navier-Stokes equations in a Lipschitz domain Ω with nonhomogeneous boundary condition u = φ on ∂Ω. Assuming φ ∈ L∞ (∂Ω), we establish the existence of the ...

The Navier-Stokes equations have wide application, to aircraft, train and car design, air pollution analysis, ocean currents and weather prediction. Stokes is honoured by a commemorative plaque in ...

It was Osborne Reynolds, from whom the popular Reynolds number borrows the name, who in 1895 proposed the inclusion of turbulence by averaging of the N–S equation over the turbulent fluctuations, ...

The year 2022 marked the 200 th anniversary of the first appearance of the Navier–Stokes equation, a landmark in Fluid Dynamics introduced by Claude-Louis Navier in 1822. This equation revolutionized ...