A third-order Taylor-Galerkin model for the simulation of two-dimensional unsteady free surface flows

被引：1
|
作者：
Venutelli, M [1 ]
机构：
[1] Univ Pisa, Ist Idraul, I-56126 Pisa, Italy
来源：
APPLIED MATHEMATICAL MODELLING | 1998年 / 22卷 / 09期
关键词：
Navier-Stokes equations; finite element method; mechanics of fluids;
D O I：
10.1016/S0307-904X(98)10063-X
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A Taylor-Galerkin third-order method is presented to integrate the equations describing two-dimensional, unsteady flows having a free surface. The discretization in time, with Taylor series expansions, is based on a fractional step, while the spatial approximation is obtained by the conventional Galerkin finite element method. Results are presented, in terms of the water profile history and flow velocity held, for two simulations: a partial and sudden breakage of a dam in a horizontal and frictionless river-bed, and the flow through a channel contraction. (C) 1998 Elsevier Science Inc. All rights reserved.
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页码：641 / 656
页数：16
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