Discontinuous Finite Element Method Applied to Shallow Water Equations

韩涛 1; 逄勇 1; 安婷 2; 翟金波 1

您当前的位置：

首页 >

文章列表页 >

Discontinuous Finite Element Method Applied to Shallow Water Equations

更新时间：2025-12-08

- Discontinuous Finite Element Method Applied to Shallow Water Equations
- Vol. 41, Issue 3, Pages: 377-379(2007)
- 作者机构：
  
  河海大学环境科学与工程学院,南京,210098
- 作者简介：
- 基金信息：
- DOI：
  CLC： O352;O241.82
- Online First：10 March 2007，
  
  Published：2007
- 稿件说明：
移动端阅览
韩涛 1, 逄勇 1, 安婷 2, et al. Discontinuous Finite Element Method Applied to Shallow Water Equations[J]. 2007, 41(3): 377-379.
DOI：

韩涛 1, 逄勇 1, 安婷 2, et al. Discontinuous Finite Element Method Applied to Shallow Water Equations[J]. 2007, 41(3): 377-379. DOI：

摘要

基于间断迦辽金有限元方法建立了求解二维、深度平均浅水方程的模型

该模型由浅水方程这一系列双曲方程组按照守恒律推导而得.通过在某一单元积分方程组并乘以基函数可以得到一个弱解

并假设未知量为间断分布的多项式逐个单元求解.由于间断有限元的本质具有局部特征

因此很容易通过提高插值多项式的次数来提高模拟精度.同时

间断有限元又具有局部守恒特征

可以结合数值通量来模拟高流动梯度问题.最后

给出了间断有限元的数值模拟结果.

Abstract

关键词

Keywords

references

Cockburn B, Shu C W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws II: general framework[J]. Math Comp, 1989, 52(186):411-435.

Cockburn B, Lin S Y, Shu C W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one dimensional systems[J]. J Comput Phys, 1989, 84(1):90-113.

Cockburn B, Hou S, Shu C W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case[J]. Math Comp, 1990, 54(19):545-581.

Cockburn B, Shu C W. The Runge-Kutta discontinuous Galerkin finite element method for conservation laws V: multidimensional systems[J]. J Comput Phys, 1998, 141(2):199-224.

Chippada S, Dawson C N, Martinez M,et al. A Godunov-type finite volume method for the system of shallow water equations[J]. Comput Meth Appl Mech Eng, 1998,151(1):105-129.

Walters R A. A model for tides and currents in the English Channel and North Sea[J]. Advances in Water Resources, 1987, 10(33): 138-148.

Zienkiewicz O C, Ortiz P. A split-characteristic based finite element model for the shallow water equations[J]. Int J Num Meth Fluids, 1995, 20(1):1061-1080.

Ippen A T. Mechanics of supercritical flow[J]. Trans of ASCE, 1951, 116(1):268-295.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

I/O Performance Modeling and Prediction Method for Large-Scale Parallel Applications Using Machine Learning

Research on the Electrohydrodynamic Effects of Ionic Liquid-Modified Fuels

Effects of Steam Addition on the Swirl Combustion and Emission Characteristics of Cracked Ammonia

Sensitivity Analysis of Foil Geometrical Parameters for the Third-Generation CO2 Gas Foil Bearings Based on Design of Experiments Method

Integrated and Joint Design Optimization of Centrifugal Compressor Impeller and Casing Treatment at Multiple Working Points

Related Author

No data

Related Institution

No data

⁰