Exact fully 3D Navier–Stokes solutions for benchmarking
- 15 September 1994
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Fluids
- Vol. 19 (5) , 369-375
- https://doi.org/10.1002/fld.1650190502
Abstract
Unsteady analytical solutions to the incompressible Navier–Stokes equations are presented. They are fully three‐dimensional vector solutions involving all three Cartesian velocity components, each of which depends non‐trivially on all three co‐ordinate directions. Although unlikely to be physically realized, they are well suited for benchmarking, testing and validation of three‐dimensional incompressible Navier–Stokes solvers. The use of such a solution for benchmarking purposes is described.Keywords
This publication has 5 references indexed in Scilit:
- Application of a fractional-step method to incompressible Navier-Stokes equationsPublished by Elsevier ,2004
- Fluid flow and heat transfer test problems for non‐orthogonal grids: Bench‐mark solutionsInternational Journal for Numerical Methods in Fluids, 1992
- A test problem for outflow boundary conditions—flow over a backward‐facing stepInternational Journal for Numerical Methods in Fluids, 1990
- Exact Solutions of the Unsteady Navier-Stokes EquationsApplied Mechanics Reviews, 1989
- LXXV. On the decay of vortices in a viscous fluidJournal of Computers in Education, 1923