A demonstration of artificial dissipation effects in some finite volume solution methods for the Navier-Stokes equations

Macrossan, M. N. and Hancock, M. (1994) A demonstration of artificial dissipation effects in some finite volume solution methods for the Navier-Stokes equations. Research Reports 5/94, Department of Mechanical Engineering, The University of Queesland.

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Author Macrossan, M. N.
Hancock, M.
Title A demonstration of artificial dissipation effects in some finite volume solution methods for the Navier-Stokes equations
School, Department or Centre Department of Mechanical Engineering
Institution The University of Queesland
Report Number 5/94
Series Research Reports
Publication date 1994
Subject 240502 Fluid Physics
Abstract/Summary The artificial dissipation effects in some solutions obtained with a Navier-Stokes flow solver are demonstrated. The solvers were used to calculate the flow of an artificially dissipative fluid, which is a fluid having dissipative properties which arise entirely from the solution method itself. This was done by setting the viscosity and heat conduction coefficients in the Navier-Stokes solvers to zero everywhere inside the flow, while at the same time applying the usual no-slip and thermal conducting boundary conditions at solid boundaries. An artificially dissipative flow solution is found where the dissipation depends entirely on the solver itself. If the difference between the solutions obtained with the viscosity and thermal conductivity set to zero and their correct values is small, it is clear that the artificial dissipation is dominating and the solutions are unreliable.
Keyword viscous flow
artificial dissipation
solution accuracy
finite volume methods
Additional Notes See also Macrossan, M. N. and Hancock, M. (1996), A method of assessing the effects of artificial dissipation in Navier-Stokes codes, International Journal for Numerical Methods in Fluids 22 (10) : 979-985.

Document type: Department Technical Report
Collection: School of Mechanical & Mining Engineering Publications
 
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Created: Thu, 12 Jul 2007, 15:45:13 EST by Michael N Macrossan