Implementing Implicit Schemes in GENSMAC

Autor: C.M. Oishi, V.G. Ferreira, J.A. Cuminato, A. Castelo, M.F. Tomé, N. Mangiavacchi
Jazyk: English<br />Portuguese
Rok vydání: 2004
Předmět:
Zdroj: Trends in Computational and Applied Mathematics, Vol 5, Iss 2 (2004)
Druh dokumentu: article
ISSN: 2676-0029
DOI: 10.5540/tema.2004.05.02.0259
Popis: Implicit schemes are studied with the purpose of introducing them in the two-dimensional GENSMAC method, for the numerical solution of unsteady newtonian incompressible flows. By using the fractional-step approach, the Freeflow2D simulation system is employed to solve the conservation equations. The viscous terms in the Navier-Stokes equations are implicitly treated via the Implicit Backward (IR), Crank-Nicolson (CN) and Adams-Bashforth/Crank-Nicolson (AB/CN) schemes. The convective terms are explicitly treated by the upwind differencing Variable Order Non-Oscillatory Scheme (VONOS) scheme. For channel and impinging jet flows, the numerical techniques are robust and produce results that compare very well with the analytical solutions.
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