Transient flow analysis using explicit and implicit numerical schemes in a non-uniform time-space mesh

Authors

  • John Twyman

Keywords:

Water hammer Implicit finite-difference method (IFDM), Method of characteristics (MOC), Pipe network

Abstract

Method of characteristics (MOC) is a useful and effective algorithm for transient flow modelling in all types of systems, constituting an attractive tool given its level of numerical accuracy and stability. However, a problem arises when it is necessary to discretize the network in order to comply with Courant in all pipelines, a situation that can become critical when the network has one or more pipes of relative short length that can reduce the size of the computational time step, with the risk of slowing down the execution time of the water hammer algorithm. This situation can become critical when the network has one or more pipes of relative short length, where it may become impossible to comply with Courant. It is possible to solve this problem using numerical methods that work with non-uniform and flexible discretizations, this together with mathematical expressions that allow efficiently address the problem of excessively short pipes, allow calculating the transitory state variables without the need to comply with Courant. It is concluded that the methodologies with non-uniform and flexible discretization are easy to program and allow avoid the Courant effect, which allows obtaining results comparable to the exact result without incurring a significant expenditure of computational resources (memory and execution time)

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Published

2019-04-29

How to Cite

Twyman, J. (2019). Transient flow analysis using explicit and implicit numerical schemes in a non-uniform time-space mesh. Journal of Construction and Civil Engineering, 9(1), 18–29. Retrieved from https://revistas.ufro.cl/ojs/index.php/rioc/article/view/2082

Issue

Vol. 9 No. 1 (2019)

Section

Articles

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