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Numerical simulation of steady turbulent flow. (English) Zbl 1312.76034

Beneš, Michal (ed.) et al., Proceedings of the Czech-Japanese seminar in applied mathematics 2010, Prague and Telč, Czech Republic, August 30–September 4, 2010. Fukuoka: Kyushu University, Institute of Mathematics for Industry. COE Lecture Note 36, 11-17 (2012).
Summary: The aim of this work is to summarize and compare the results of numerical simulations of steady transonic flows in 2D and 3D obtained by two modern finite volume schemes. Implemented schemes are the so called Modified Causon’s scheme (see the second author [Numerical solution of transonic flow using modern schemes of finite volume method and finite differences. Dissertation thesis (in Czech), ČVUT, Praha (2001)]) (based on TVD form of MacCormack scheme) and WLSQR scheme [the second author, Flow Turbul. Combust. 76, No. 4, 331–342 (2006; Zbl 1123.76039)] (WENO approach) combined with HLLC numerical flux. Chosen test cases are steady inviscid transonic flow over the NACA 0012 profile and steady turbulent transonic flow around the ONERA M6 wing. Turbulent effects are simulated using the Spalart-Allmaras and SST models (in 3D). Obtained numerical results are compared both in-between and with experimental data with very good agreement.
For the entire collection see [Zbl 1233.65006].

MSC:

76M12 Finite volume methods applied to problems in fluid mechanics
76H05 Transonic flows
76N99 Compressible fluids and gas dynamics

Citations:

Zbl 1123.76039