Manning Coefficient Effect on the Shallow Water Flow Equation

Gustavo Braz Kurz; Régis Sperotto de Quadros; Renato Vaz Linn

doi:10.4028/p-tUG4x5

Paper Titles

Obstructed Branching Networks: A Constructal Approach in Fluid Flow Investigation
p.3

Manning Coefficient Effect on the Shallow Water Flow Equation
p.15

Validation and Verification of Computational Model for the Numerical Simulation of the Operational Principle of a Submerged Horizontal Plate Device
p.27

Application of Time Series in the Analysis of Physical-Chemical Data to Support the Management of Water Clarification Efficiency in a Water Treatment Plant
p.37

Analyzing Foam Injection Dynamics in Porous Media: A Combined Computational and Experimental Approach
p.47

Numerical Simulation of Shale Gas Flow in Non-Conventional Reservoirs Using the OpenACC API
p.59

Numerical Simulation of Vertical Helical Earth-Air Heat Exchangers Multiobjective Performance Assessment
p.77

Analysis of Thermal Comfort of the Building Envelope Using an Earth-Air Heat Exchanger
p.91

HomeDefect and Diffusion ForumDefect and Diffusion Forum Vol. 435Manning Coefficient Effect on the Shallow Water...

Manning Coefficient Effect on the Shallow Water Flow Equation

Abstract:

This work will seek to solve shallow water equations, using numerical integration methods, to solve partial differential equations (PDEs) and subsequently present a brief physical interpretation of the solutions. The derivation of the equations is demonstrated, along with the explanation of each physical quantity present. The discretization of non-conservative shallow water equations is carried out using the method of finite differences advanced in time and central in space (FTCS), in explicit form. With the deductions, different Manning coefficients will be addressed in the solutions, verifying their effects.

You might also be interested in these eBooks

Transfer Phenomena in Fluid and Heat Flows XV

View Preview

Defect Identification, Heat Exchangers and Fluid Flow

View Preview

Info:

Periodical:

Defect and Diffusion Forum (Volume 435)

Pages:

15-25

DOI:

https://doi.org/10.4028/p-tUG4x5

Citation:

Cite this paper

Online since:

September 2024

Authors:

Gustavo Braz Kurz*, Régis Sperotto de Quadros, Renato Vaz Linn

Keywords:

FEM, Finite Differences, Manning, Shallow Water

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] Garcia-Navarro et al., in: The shallow water equations and their application to realistic cases, Environmental Fluid Mechanics, (2019).

Google Scholar

[2] V. Caleffi, A. Valiani, A. Zanni in: Finite Volume Method for Simulating Extreme Flood Events in Natural Channels, Journal of Hydraulic Research, 41(2), 167-177 (2003).

DOI: 10.1080/00221680309499959

Google Scholar

[3] J. N. Eddy, in : An Introduction to the Finite Element Method, Third edition, McGraw-Hill, Paris (2006).

Google Scholar

[4] V. Ruas in :Hermite finite elements for second order boundary value problems with sharp gradient discontinuities, Journal of Computational and Applied Mathematics, 246, 234-242 (2013).

DOI: 10.1016/j.cam.2012.08.027

Google Scholar

[5] R. Kolman, M. Okrouhlík, A. Berezovski, D. Gabriel, J. Kopačka, J. Plešek in :B-spline based finite element method in one-dimensional discontinuous elastic wave propagation, Applied Mathematical Modelling, 46, 382-395 (2017).[6] C. Grossmann; H. Roos; M. Stynes in Numerical Treatment of Partial Differential Equations,Springer Science AND Business Media, (2007).

DOI: 10.1016/j.apm.2017.01.077

Google Scholar

[7] S. Kocaman, H. Ozmen-Cagatay in: Investigation of dam-break induced shock waves impact on a vertical wall, Journal of Hydrology, 525, 1-12 (2015).

DOI: 10.1016/j.jhydrol.2015.03.040

Google Scholar

[8] C. KUHBACHER. Shallow Water: Derivation and Applications. Alemanha: 2009.

Google Scholar

[9] W.D. Guo, J.S. Lai, G.F. Lin, F.Z. Lee, Y.C. Tan in : Finite-volume multi-stage scheme for advection-diffusion modeling in shallow water flows, Journal of Mechanics, 27, 415-430, (2011).

DOI: 10.1017/jmech.2011.44

Google Scholar

[10] C. S. Silva in: Inundações em Pelotas/RS: o uso de geoprocessamento no planejamento paisagístico e ambiental, Dissertação de Mestrado, Programa de Pós-Graduação em Arquitetura e Urbanismo, Faculdade de Arquitetura e Urbanismo, Universidade Federal de Santa Catarina, Florianópolis, Brasil, 196 páginas (2007).

DOI: 10.17127/got/2021.22.008

Google Scholar

[11] J.N. Reddy in: Introduction to the Finite Element Method, McGraw-Hill Science/Engineering/Math, Reino Unido (2005).

Google Scholar

[12] T. J. R. Hughes, D. W. K. Liu, T. K. Zimmermann in: The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Courier Corporation, Reino Unido (2012).

Google Scholar

[13] R. L. Burden, J. D. Faires in: Análise Numérica. Cengage Learning (2008), Brasil.

Google Scholar