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DOI | 10.1029/2019WR026906 |
Symbolic Explicit Solutions for 1‐Dimensional Linear Diffusive Wave Equation with Lateral Inflow and their Applications | |
B. Nazari; D. J. Seo | |
2020-12-02 | |
发表期刊 | Water Resources Research |
出版年 | 2020 |
英文摘要 | The diffusive wave equation, a simplified form of the Saint‐Venant equations, is extensively used in flood routing. To solve the equation, numerous methods have been developed over the years. Most of them are numerical and hence their application generally requires case‐specific modeling and analysis to ensure stable solution. For many practical routing applications, however, simpler yet accurate methods are highly desirable that do not require problem‐specific numerical modeling. This work extends the previous analytical solutions with more flexible boundary conditions, presents two quasi‐analytical methods for solving the 1‐D linear diffusive wave equation on finite domains, and applies them to different types of routing problems. Referred to as the Symbolic Diffusive Wave Solutions (SDWS), the proposed methods yield explicit symbolic expressions for time‐continuous solutions at discrete nodes in space and provide solutions that are accurate and computationally efficient. The methods are easy to implement and may be used in a variety of routing applications in which accurate explicit symbolic solutions for linear advection‐diffusion are desired for a set of discrete locations such as known river forecast points. This paper describes the solutions and their application in different types of real‐world and synthetic routing problems. This article is protected by copyright. All rights reserved. |
领域 | 资源环境 |
URL | 查看原文 |
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文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/305742 |
专题 | 资源环境科学 |
推荐引用方式 GB/T 7714 | B. Nazari,D. J. Seo. Symbolic Explicit Solutions for 1‐Dimensional Linear Diffusive Wave Equation with Lateral Inflow and their Applications[J]. Water Resources Research,2020. |
APA | B. Nazari,&D. J. Seo.(2020).Symbolic Explicit Solutions for 1‐Dimensional Linear Diffusive Wave Equation with Lateral Inflow and their Applications.Water Resources Research. |
MLA | B. Nazari,et al."Symbolic Explicit Solutions for 1‐Dimensional Linear Diffusive Wave Equation with Lateral Inflow and their Applications".Water Resources Research (2020). |
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