The Preissmann box scheme and its modification for transcritical flows

被引：14
|
作者：
Freitag, M. A.
Morton, K. W.
机构：
[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England
[2] Univ Oxford, Comp Lab, Oxford OX1 3QD, England
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2007年 / 70卷 / 07期
关键词：
box scheme; transcritical flow; St Venant equations; shallow water flow; Thomas algorithm; Newton method;
D O I：
10.1002/nme.1908
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The Preissmann box scheme is the standard numerical method used by hydraulic engineers to model open channel flows or surcharged flows in pipes; but it breaks down for transcritical flows. Various alternatives have been suggested for such cases, but we show how simple modifications of the difference scheme and its method of solution enable both to be used for such flows. Analysis of the double-sweeping Thomas algorithm shows both how it works in the subcritical case and the effectiveness of its modification for transcritical flows. A well-known analytical transcritical flow is used to demonstrate the accuracy of the new numerical scheme. Copyright (c) 2006 John Wiley & Sons, Ltd.
引用
收藏
页码：791 / 811
页数：21
相关论文
共 50 条
  • [41] A CE/SE Scheme for Flows in Porous Media and Its Applications
    Yang, Duo-Xing
    Li, Guo-Min
    Zhang, De-Liang
    AEROSOL AND AIR QUALITY RESEARCH, 2009, 9 (02) : 266 - 276
  • [42] Critical slope for laminar transcritical shallow-water flows
    Thual, O.
    Lacaze, L.
    Mouzouri, M.
    Boutkhamouine, B.
    JOURNAL OF FLUID MECHANICS, 2015, 783
  • [43] An improved CE/SE scheme for incompressible multiphase flows and its applications
    Yang, Duoxing
    Zhang, Deliang
    PROGRESS IN COMPUTATIONAL FLUID DYNAMICS, 2013, 13 (05): : 285 - 295
  • [44] ADM-WENO scheme and its application in compressible mixing flows
    Li, Haidong
    Chan, Weng Kong
    International Journal of Numerical Methods for Heat and Fluid Flow, 1999, 9 (04): : 461 - 471
  • [45] ADM-WENO scheme and its application in compressible mixing flows
    Li, HD
    Chan, WK
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 1999, 9 (04) : 461 - 471
  • [46] An improved CE/SE scheme for incompressible multiphase flows and its applications
    Yang, D. (dxyangcea@yahoo.com), 1600, Inderscience Enterprises Ltd., 29, route de Pre-Bois, Case Postale 856, CH-1215 Geneva 15, CH-1215, Switzerland (13):
  • [47] New general scheme for flows at all speeds and its application to turbomachinery
    Li, Xuesong
    Gu, Chunwei
    Xu, Jianzhong
    Hangkong Xuebao/Acta Aeronautica et Astronautica Sinica, 2007, 28 (06): : 1334 - 1338
  • [48] UNSTEADY CAVITY FLOWS - OSCILLATORY FLAT BOX FLOWS
    OBRIEN, V
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1975, 42 (03): : 557 - 563
  • [49] UNSTEADY CAVITY FLOWS - OSCILLATORY FLAT BOX FLOWS
    OBRIEN, V
    MECHANICAL ENGINEERING, 1976, 98 (06) : 119 - 119
  • [50] Transcritical Flows in Three and Four Branch Open-Channel Intersections
    Riviere, N.
    Travin, G.
    Perkins, R. J.
    JOURNAL OF HYDRAULIC ENGINEERING, 2014, 140 (04)
12345