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Assessment of a high-order discontinuous Galerkin method for vortex convection and wave propagation on unstructured meshes

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Abstract

A high-order accurate flow solver based on a discontinuous Galerkin method has been developed for the numerical simulation of vortex convection and wave propagation on unstructured meshes. To assess the performance of the present flow solver, a vortex convection problem in freestream and an acoustic benchmark problem were tested. An airfoil-vortex interaction problem was also simulated by coupling the flow solver with a dynamic mesh adaptation technique. From the mesh resolution test, the present fourth-order discontinuous Galerkin method almost perfectly preserves the vortex and also accurately resolves the acoustic waves on a mesh with an element size of half of characteristic length. It was also observed that the fourth-order method is more than ten times efficient, in terms of the number of degrees of freedom and the elapsed CPU time, compared to the second-order method.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology, Daejeon, 305-701, Korea

    Hee Dong Lee & Oh Joon Kwon

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  1. Hee Dong Lee
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  2. Oh Joon Kwon
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Correspondence to Hee Dong Lee.

Additional information

Recommended by Associate Editor Byeong Rog Shin

Hee Dong Lee is a Ph. D student at the Computational Aerodynamics and Design Optimization Laboratory in the department of aerospace engineering, KAIST, Korea. His research interests are in computational simulations based on discontinuous Galerkin methods and high-order schemes.

Oh Joon Kwon is a professor in the Department of Aerospace Engineering, KAIST, Korea. His research interests are in computational algorithm development and numerical simulation based on unstructured meshes for a variety of applied aerodynamic problems.

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Lee, H.D., Kwon, O.J. Assessment of a high-order discontinuous Galerkin method for vortex convection and wave propagation on unstructured meshes. J Mech Sci Technol 27, 3331–3346 (2013). https://doi.org/10.1007/s12206-013-0855-7

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  • DOI: https://doi.org/10.1007/s12206-013-0855-7

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