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Exact fully 3D Navier–Stokes solutions for benchmarking
Author(s) -
Ethier C. Ross,
Steinman D. A.
Publication year - 1994
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650190502
Subject(s) - benchmarking , navier–stokes equations , cartesian coordinate system , compressibility , computational fluid dynamics , mathematics , reynolds averaged navier–stokes equations , velocity vector , computer science , mathematical analysis , physics , mechanics , geometry , marketing , business
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.