caa a22 4500 606217355 CHVBK 20210128101107.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10598-015-9267-0 doi (NATIONALLICENCE)springer-10.1007/s10598-015-9267-0 Abakumov M. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut Construction of Godunov-Type Difference Schemes in Curvilinear Coordinates and an Application to Spherical Coordinates [Elektronische Daten] [M. Abakumov] A method is proposed for the construction of conservative flow difference schemes for the calculation of compressible viscous gas flows in curvilinear coordinates based on an arbitrary Godunov-type Cartesian scheme. The realization of the scheme in curvilinear coordinates requires minimal additions to the basic Cartesian scheme code. The method is illustrated in application to the case of spherical coordinate. A spherical scheme of second-order spatial approximation is constructed. Results of test calculations are reported. Springer Science+Business Media New York, 2015 compressible viscous gas equation nationallicence curvilinear coordinate nationallicence Godunov-type difference schemes nationallicence spherical coordinates nationallicence flow past a sphere nationallicence Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/2(2015-04-01), 184-203 1046-283X 26:2<184 2015 26 10598 https://doi.org/10.1007/s10598-015-9267-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10598-015-9267-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Abakumov M. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut NATIONALLICENCE 773 0- Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/2(2015-04-01), 184-203 1046-283X 26:2<184 2015 26 10598