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Title:
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Energy-Conserving Navier-Stokes Solver. Verification of steady laminar flows
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Author(s):
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Published by:
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Publication date:
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ECN
Wind Energy
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27-6-2011
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ECN report number:
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Document type:
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ECN-E--11-042
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ECN publication
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Number of pages:
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Full text:
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56
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Download PDF
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Abstract:
This report describes the verification of a second order ‘energy-conserving’ finite volume method,
for the solution of the incompressible Navier-Stokes equations on staggered, cartesian grids. Four
different test cases are examined, being channel flow, lid-driven cavity flow, backward-facing step
flow and flow through an actuator disk. The accuracy of the spatial discretization is investigated
by looking at laminar, steady flow. Second order accuracy is shown for velocity and pressure on
uniform and non-uniform meshes, in 2D and 3D, and for different boundary conditions. In the
case of flow through an actuator disk a discontinuity in the pressure is present, which is correctly
captured by the method. The method is suitable to be extended to compute unsteady turbulent
flows, such as the flow of air in wind turbine wakes.
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