An Overview of the Numerical Approaches to Water Hammer Modelling: The Ongoing Quest for Practical and Accurate Numerical Approaches Article Swipe
Susovan Pal
,
Prashanth Reddy Hanmaiahgari
,
Bryan Karney
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3390/w13111597
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3390/w13111597
Here, recent developments in the key numerical approaches to water hammer modelling are summarized and critiqued. This paper summarizes one-dimensional modelling using the finite difference method (FDM), the method of characteristics (MOC), and especially the more recent finite volume method (FVM). The discussion is briefly extended to two-dimensional modelling, as well as to computational fluid dynamics (CFD) approaches. Finite volume methods are of particular note, since they approximate the governing partial differential equations (PDEs) in a volume integral form, thus intrinsically conserving mass and momentum fluxes. Accuracy in transient modelling is particularly important in certain (typically more nuanced) applications, including fault (leakage and blockage) detection. The FVM, first advanced using Godunov’s scheme, is preferred in cases where wave celerity evolves over time (e.g., due to the release of air) or due to spatial changes (e.g., due to changes in wall thickness). Both numerical and experimental studies demonstrate that the first-order Godunov’s scheme compares favourably with the MOC in terms of accuracy and computational speed; with further advances in the FVM schemes, it progressively achieves faster and more accurate codes. The current range of numerical methods is discussed and illustrated, including highlighting both their limitations and their advantages.
Related Topics
Concepts
Finite volume method
Computational fluid dynamics
Computer science
Partial differential equation
Applied mathematics
Water hammer
Finite difference
Upwind scheme
Numerical analysis
Momentum (technical analysis)
Transient (computer programming)
Mechanics
Mathematics
Physics
Discretization
Mathematical analysis
Economics
Finance
Operating system
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/w13111597
- https://www.mdpi.com/2073-4441/13/11/1597/pdf?version=1622899974
- OA Status
- gold
- Cited By
- 44
- References
- 150
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3170610946
All OpenAlex metadata
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https://openalex.org/W3170610946Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.3390/w13111597Digital Object Identifier
- Title
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An Overview of the Numerical Approaches to Water Hammer Modelling: The Ongoing Quest for Practical and Accurate Numerical ApproachesWork title
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articleOpenAlex work type
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enPrimary language
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2021Year of publication
- Publication date
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2021-06-05Full publication date if available
- Authors
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Susovan Pal, Prashanth Reddy Hanmaiahgari, Bryan KarneyList of authors in order
- Landing page
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https://doi.org/10.3390/w13111597Publisher landing page
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https://www.mdpi.com/2073-4441/13/11/1597/pdf?version=1622899974Direct link to full text PDF
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goldOpen access status per OpenAlex
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https://www.mdpi.com/2073-4441/13/11/1597/pdf?version=1622899974Direct OA link when available
- Concepts
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Finite volume method, Computational fluid dynamics, Computer science, Partial differential equation, Applied mathematics, Water hammer, Finite difference, Upwind scheme, Numerical analysis, Momentum (technical analysis), Transient (computer programming), Mechanics, Mathematics, Physics, Discretization, Mathematical analysis, Economics, Finance, Operating systemTop concepts (fields/topics) attached by OpenAlex
- Cited by
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44Total citation count in OpenAlex
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2025: 14, 2024: 10, 2023: 10, 2022: 7, 2021: 3Per-year citation counts (last 5 years)
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150Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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