Finite element approximation of Quasi-3D shallow water equations

Edie Miglio; Alfio Quarteroni; Fausto Saleri

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Finite element approximation of Quasi-3D shallow water equations

机译：拟3D浅水方程组的有限元逼近

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摘要

A new method to solve the Quasi-3D shallow water equations is proposed. This method combines a suitable mass-preserving finite element approach in the horizontal plane with a conventional conforming finite element (or finite difference) scheme along the vertical.

机译：提出了一种求解拟3D浅水方程的新方法。该方法将水平面中合适的质量保留有限元方法与沿垂直方向的常规一致有限元（或有限差分）方案相结合。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |1999年第4期|355-369|共15页
作者
Edie Miglio; Alfio Quarteroni; Fausto Saleri;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
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机译：浅水方程有限元逼近的Galerkin和Petrov-Galerkin模型简化评估
2. Raviart-Thomas and Brezzi-Douglas-Marini finite-element approximations of the shallow-water equations [J] . V. Rostand, D. Y. Le Roux International Journal for Numerical Methods in Fluids . 2008,第8期

机译：浅水方程组的Raviart-Thomas和Brezzi-Douglas-Marini有限元逼近
3. Two-dimensional dispersion analyses of finite element approximations to the shallow water equations [J] . J. H. Atkinson, J. J. Westerink, R. A. Luettich Jr International Journal for Numerical Methods in Fluids . 2004,第7期

机译：浅水方程组有限元近似的二维色散分析
4. Numerical Analysis of a Priori Error Estimates for the Characteristics Mixed Finite Element Approximation of Shallow Water Equations [C] . F. El Dabaghi, A. El Kacimi, B. Nakhle Applied Simulation and Modelling . 2004

机译：浅水方程组特征混合有限元逼近的先验误差估计的数值分析
5. A priori error estimates of finite element models of systems of shallow water equations. [D] . Martinez, Monica Lucia. 1998

机译：浅水方程组有限元模型的先验误差估计。
6. Edge-based nonlinear diffusion for finite element approximations of convection–diffusion equations and its relation to algebraic flux-correction schemes [O] . Gabriel R. Barrenechea, Erik Burman, Fotini Karakatsani -1

机译：对流扩散方程有限元逼近的基于边缘的非线性扩散及其与代数通量校正方案的关系
7. Rossby Wave Frequencies and Group Velocities for Finite Element and Finite Difference Approximations to the Vorticity-Divergence and the Primitive Forms of the Shallow Water Equations [O] . Neta Beny, Williams R. T. 1989

机译：浅水方程的涡度散度和原始形式的有限元和有限差分近似的Rossby波频率和群速度

Finite element approximation of Quasi-3D shallow water equations

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