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Time-dependent solutions of viscous incompressible flows in moving co-ordinates

✍ Scribed by Moshe Rosenfeld; Dochan Kwak

Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
1024 KB
Volume
13
Category
Article
ISSN
0271-2091

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✦ Synopsis

A time-accurate solution method for the incompressible Navier-Stokes equations in generalized moving coordinates is presented. A finite volume discretization method that satisfies the geometric conservation laws for time-varying computational cells is used. The discrete equations are solved by a fractional step solution procedure. The solution is second-order-accurate in space and first-order-accurate in time. The pressure and the uolurnejuxes are chosen as the unknowns to facilitate the formulation of a consistent Poisson equation and thus to obtain a robust Poisson solver with favourable convergence properties. The method is validated by comparing the solutions with other numerical and experimental results. Good agreement is obtained in all cases.

KEYS WORDS Incompressible Navier-Stokes Time-dependent Moving co-ordinate systems Finite volume Fractional step

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