Geodesic
Application of RKDG method for computational solution of three-dimensional gas-dynamic equations with non-structured grids
Matematičeskoe modelirovanie i čislennye metody (2015), pp. 75-91

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This article deals with the finite-element RKDG method (Runge–Kutta Discontinuous Galerkin) and its application for numerical integration of three-dimensional system of equations of ideal gas on unstructured grids. By means of the described algorithm we solved two test tasks. For each task we conducted the analysis and compared the task solution with well-known analytical solutions or with tabular data. We also give error assessment in the solution.
Keywords: Gas dynamics, ideal gas, numerical methods, RKDG, TVD. 
@article{MMCM_2015_a4,
     author = {Yu. I. Dimitrienko and M. N. Koryakov and A. A. Zakharov},
     title = {Application of {RKDG} method for computational solution of three-dimensional gas-dynamic equations with non-structured grids},
     journal = {Matemati\v{c}eskoe modelirovanie i \v{c}islennye metody},
     pages = {75--91},
     publisher = {mathdoc},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMCM_2015_a4/}
}
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Yu. I. Dimitrienko; M. N. Koryakov; A. A. Zakharov. Application of RKDG method for computational solution of three-dimensional gas-dynamic equations with non-structured grids. Matematičeskoe modelirovanie i čislennye metody (2015), pp. 75-91. http://geodesic.mathdoc.fr/item/MMCM_2015_a4/