A MANUFACTURED SOLUTION TO TEST A CODE THAT SIMULATES A COMPRESSIBLE FLOWWITH SHOCK WAVES

A MANUFACTURED SOLUTION TO TEST A CODE THAT SIMULATES A COMPRESSIBLE FLOWWITH SHOCK WAVES

Doricio, J. L.; Silva, H. Ghioti da

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A numerical code aiming to simulate two-dimentional compressible flow, modeled by Euler equations with immersed boundaries, was submitted on a verification test using the Method of Manufactured Solutions. The code was developed to study computational aeroelasticity - flutter analysis by means of forced oscillations on the NACA 0012 airfoil section modeled by the Immersed Boundary Method. Finite Difference scheme using Steger-Warming method of second order of accuracy to the spatial discretization and a Runge-Kutta method of fourth order of accuracy to the time discretization were used. It was created a manufactured solution that mimics a compressible flow with presence of shock waves. The numerical code was submitted by a Mesh Refinement Test and a systematic analysis of actual order of accuracy was performed. The results indicated that the code was free of programming errors and the Method of Manufactured Solutions was a good tool for debugging the code.

A numerical code aiming to simulate two-dimentional compressible flow, modeled by Euler equations with immersed boundaries, was submitted on a verification test using the Method of Manufactured Solutions. The code was developed to study computational aeroelasticity - flutter analysis by means of forced oscillations on the NACA 0012 airfoil section modeled by the Immersed Boundary Method. Finite Difference scheme using Steger-Warming method of second order of accuracy to the spatial discretization and a Runge-Kutta method of fourth order of accuracy to the time discretization were used. It was created a manufactured solution that mimics a compressible flow with presence of shock waves. The numerical code was submitted by a Mesh Refinement Test and a systematic analysis of actual order of accuracy was performed. The results indicated that the code was free of programming errors and the Method of Manufactured Solutions was a good tool for debugging the code.

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DOI: 10.5151/meceng-wccm2012-18109

Referências bibliográficas

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Como citar:

Doricio, J. L.; Silva, H. Ghioti da; "A MANUFACTURED SOLUTION TO TEST A CODE THAT SIMULATES A COMPRESSIBLE FLOWWITH SHOCK WAVES", p-750-761. In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 23580828, DOI 10.5151/meceng-wccm2012-18109