An exact Riemann solver and a Godunov scheme for simulating highly transient mixed flows

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Kerger, F.¹  Archambeau, P.¹  Erpicum, S.¹  Dewals, B. J.¹  Pirotton, M.¹ 

[1] Univ Liege, Res Unit Hydrol Appl Hydrodynam & Hydraul Constru, Dept ArGEnCo, B-4000 Liege, Belgium

关键词: Hydraulics;    Finite volume method;    Negative Preissmann slot;    Saint-Venant equations;    Transient flow;    Water hammer;   

DOI  :  10.1016/j.cam.2010.09.026

来源: Elsevier

【 摘 要 】

The current research aims at deriving a one-dimensional numerical model for describing highly transient mixed flows. In particular, this paper focuses on the development and assessment of a unified numerical scheme adapted to describe free-surface flow, pressurized flow and mixed flow (characterized by the simultaneous occurrence of free-surface and pressurized flows). The methodology includes three steps. First, the authors derived a unified mathematical model based on the Preissmann slot model. Second, a first-order explicit finite volume Godunov-type scheme is used to solve the set of equations. Third, the numerical model is assessed by comparison with analytical, experimental and numerical results. The key results of the paper are the development of an original negative Preissmann slot for simulating sub-atmospheric pressurized flow and the derivation of an exact Riemann solver for the Saint-Venant equations coupled with the Preissmann slot. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free