Use of Manufactured Solution Method to Verification of a ... - CiteSeerX

Use of Manufactured Solution Method to Verification of a Unsteady CFD Codes of High Order of Accuracy Homero G. Silva Departamento de Engenharia de Materiais, Aeron´autica e Automobil´ıstica Escola de Engenharia de S˜ao Carlos - Universidade de S˜ao Paulo, Brasil [email protected] Marcello A. Faraco Medeiros Departamento de Engenharia de Materiais, Aeron´autica e Automobil´ıstica Escola de Engenharia de S˜ao Carlos - Universidade de S˜ao Paulo, Brasil [email protected] Leandro F. Souza Instituto de Ciˆencias Matem´aticas e de Computa¸ca˜o-Departamento de Ciˆencias de Computa¸ca˜o e Estat´ısitica-Universidade de S˜ao Paulo, Brasil [email protected]

ABSTRACT

A verification test of a direct numerical simulation code of high order accuracy using the Method of Manufacturing Solution is presented. The verification procedure is performed by introducing a forcing term in the equations of Navier/Stokes creating a no-realistic problem that it has an exact solution. The Verification of possible programming errors and the discussion of the numerical accuracy of the calculations using a sistematic mesh refinement test was applied. An unsteady manufactured solution that imitates the infinitesimal disturbances propagation in Poiseuille flow was chose. The results showed that this techinique is an useful too for debugging numerical codes.

[3] Freitas, C. J., editorial policy statement on the control of numerical accuracy, ASME Journal of Fluids Engineering, Vol. 115(3), pp. 339-340, (1993a) [4] Roache, P.H., Verification and validation in computational science and engineering, Hermosa Publishers, New Mexico, (1998). [5] Roy, C.J., Review of code and solution verification procedures for computational simulation, Journal of Computational Physics, vol. 205, pp. 131-156 (2005) [6] Silva, H.G., Medeiros, M.A.F., Souza, L.F., A Verification test for a direct numerical simulation code that uses a high order discretization scheme, 18th International Congress of Mechanical Engineering, Proceedings of the COBEM 2005 - CD ROM, (2005).

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