High-order accurate and high-resolution upwind finite volume scheme for solving euler/reynolds-averaged Navier-Stokes equations

Autor:	Liu Qiusheng, Wang Baoguo, Shen Mengyu, Guo Yan-hu
Rok vydání:	1998
Předmět:	Finite volume method Discretization Turbulence Mechanical Engineering Mathematical analysis Computational Mechanics Godunov's scheme Euler equations Physics::Fluid Dynamics symbols.namesake Inviscid flow symbols Euler's formula Reynolds-averaged Navier–Stokes equations Mathematics
Zdroj:	Acta Mechanica Sinica. 14:10-17
ISSN:	1614-3116 0567-7718
DOI:	10.1007/bf02486826
Popis:	A high-order accurate explicit scheme is proposed for solving Euler/Reynolds-averaged Navier-Stokes equations for steady and unsteady flows, respectively. Baldwin-Lomax turbulence model is utilized to obtain the turbulent viscosity. For the explicit scheme, the Runge-Kutta time-stepping methods of third orders are used in time integration, and space discretization for the right-hand side (RHS) terms of semi-discrete equations is performed by third-order ENN scheme for inviscid terms and fourth-order compact difference for viscous terms. Numerical experiments suggest that the present scheme not only has a fairly rapid convergence rate, but also can generate a highly resolved approximation to numerical solution, even to unsteady problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::19ce1a07e3fcfef80ae262cb379239ac https://doi.org/10.1007/bf02486826 Zobrazit plný text záznamu Full text from SpringerLink