An analytic solution of the non-stationary Navier-Stokes equation in three dimensions

2014/02/06 by R. K. M. Thambynayagam, Thambynayagam, R. K. Michael
Engineering · #Lattice Boltzmann Simulation Studies #Computational Fluid Dynamics and Aerodynamics #Advanced Numerical Methods in Computational Mathematics

paper · pdf · doi:10.48550/arxiv.1402.1459

Abstract

In this paper we describe a method to derive classical solutions of the Navier-Stokes equations for non-stationary initial value problems in domain Rⁿ (n = 2, 3 or higher). A new closed-form analytic solution of the incompressible Navier-Stokes equations on the decay of vortices in a viscous fluid in R3 is presented.

Related

• Classical analytic solutions of the non-stationary Navier-Stokes equation in two, three and higher dimensions
• Analytical solution for 3-dimensional, incompressible Navier-Stokes equations
• Global (in Time) Solutions to the 3D-Navier-Stokes Equations on R³
• Analytic Solution of the N-Dimensional Incompressible Navier-Stokes Equations
• Analytical solution of the incompressible Navier-Stokes equations