Time-dependent solutions of viscous incompressible flows in moving co-ordinates |
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Authors: | Moshe Rosenfeld Dochan Kwak |
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Abstract: | 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 volume fluxes 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. |
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Keywords: | Incompressible Navier-Stokes Time-dependent Moving co-ordinate systems Finite volume Fractional step |
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