|Title of the article||
ON CONSTRUCTION OF WENO SCHEMES FOR HYPERBOLIC SYSTEMS ON UNSTRUCTURED MESHE
Goryunov Vladimir Aleksandrovich, Doctor of physical and mathematical sciences, professor, sub-department of experimental physics, Ogaryev Mordovia State University (68 Bolshevistskaya street, Saransk, Russia), email@example.com
Background. Mathematical simulation of fluid and gas flows is reduced to solving the equations of the Euler system in areas of complicated geometry. Real flows are characterized by the appearance of gas dynamic discontinuities. It leads to the usage of numerical methods of high order accuracy. The purpose of this paper is to construct essentially non oscillatory high order scheme (WENO scheme) on unstructured meshes for gas dynamics equations; and to compare the obtained results with the numerical results using first-order accuracy.
WENO scheme, unstructured mesh, high-order accuracy.
1. Godunov S. K., ZabrodinA. V., M. Ivanov Ya., Krayko A. N., Prokopov G. P. Chislennoe reshenie mnogomernykh zadach gazovoy dinamiki [Numerical solution of multidimensional problems of gas dynamics]. Moscow: Nauka, 1976, p. 400.
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