Non-oscillatory continuous FEM for transport and shallow water flows

Pablo Ortiz

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Non-oscillatory continuous FEM for transport and shallow water flows

机译：用于运输和浅水流动的非振荡连续有限元法

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The paper presents a sign-preserving continuous finite element model (FEM) for coupled transport equations, and in particular for the depth-integrated shallow water equations. The model incorporates an enhanced flux corrected transport method (FCT) with a high order solution given by a generalization of the characteristic based split finite element method (CBS), and a predictor positive algorithm founded in a finite element upwind methodology. Numerical experiments explore the efficacy of the procedure, with emphasis in the simulation of flows with evolutionary boundaries determined by null values of any flow property, and in severe conditions of propagation such as dam-breaking waves.

机译：本文针对耦合的输运方程，特别是深度积分的浅水方程，提出了一个保持符号的连续有限元模型（FEM）。该模型结合了增强型通量校正输运方法（FCT）和高阶解决方案，该解决方案是基于特征的分裂有限元方法（CBS）的一般化，以及基于有限元迎风方法建立的预测器正算法。数值实验探索了该程序的有效性，重点是模拟具有由任何流动特性的零值确定的演化边界的流动，以及在严重的传播条件下（如溃坝波）。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2012年第1期|p.55-69|共15页
作者
Pablo Ortiz;
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作者单位

University of Granada, Esc. Ing. Caminos, Campus Fuentenueva, 18071 Granada, Spain;

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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
关键词
continuous galerkin finite elements; positive definite algorithm; flux correction; shallow water equations;

机译：连续伽勒金有限元正定算法;通量校正浅水方程;

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3. A well-balanced weighted essentially non-oscillatory scheme for pollutant transport in shallow water [J] . Gang Li, Jinmei Gao, Qiuhua Liang International Journal for Numerical Methods in Fluids . 2013,第12期

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4. Weighted Essential Non-oscillatory Schemes for Simulations of Shallow Water Equations with Transport of Pollutant on Unstructured Meshes [C] . Lu Changna, Chen Yaodeng, Li Gang Fourth international conference on information and computing . 2011

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5. Numerical investigation of one-dimensional shallow water flow and sediment transport model using discontinouous Galerkin method. [D] . Safarzadeh-Maleki, Farzam. 2014

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6. Erosion and Sediment Transport Modelling in Shallow Waters: A Review on Approaches Models and Applications [O] . Mohammad Hajigholizadeh, Assefa M. Melesse, Hector R. Fuentes 2018

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7. Preserving bounded and conservative solutions of transport in 1D shallow-water flow with upwind numerical schemes: Application to fertigation and solute transport in rivers [O] . Burguete Tolosa, Javier, García-Navarro, Pilar, Murillo, J. 2008

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8. Simulation of Groundwater Flow and Contaminant Transport with FEWA (Finite Element Model of Water Flow Through Aquifers) and FEMA (Finite Element Model of Material Transport Through Aquifers) [R] . Yeh, G. T. , Wong, K. V. 1987

机译：利用FEWa（水流通过含水层的有限元模型）和FEma（通过含水层的物质输送的有限元模型）模拟地下水流和污染物的输送

Non-oscillatory continuous FEM for transport and shallow water flows

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