A multiple grid algorithm for one-dimensional transient open channel flows

Scott A. Yost; Prasada Rao

doi:10.1016/S0309-1708(99)00052-4

A multiple grid algorithm for one-dimensional transient open channel flows

Scott A. Yost, Prasada Rao

Civil Engineering

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Numerical modeling of open channel flows with shocks using explicit finite difference schemes is constrained by the choice of time step, which is limited by the CFL stability criteria. To overcome this limitation, in this work we introduce the application of a multiple grid algorithm to the field of computational hydraulics. By coupling this algorithm to a second-order accurate MacCormack scheme, we demonstrate that the solution can be accelerated to the desired transient state. The present formulation has been tested to simulate shocks arising from sudden closure of a sluice gate and for flows accompanied with a hydraulic jump. The close agreement between the obtained results and the theoretical findings indicates the reliability of the proposed algorithm. (C) 2000 Elsevier Science Ltd. All rights reserved.

Original language	English
Pages (from-to)	645-651
Number of pages	7
Journal	Advances in Water Resources
Volume	23
Issue number	6
DOIs	https://doi.org/10.1016/S0309-1708(99)00052-4
State	Published - May 20 2000

Keywords

Explicit
Finite difference
Open channels
Shocks
Transient

ASJC Scopus subject areas

Water Science and Technology

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10.1016/S0309-1708(99)00052-4

Cite this

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T1 - A multiple grid algorithm for one-dimensional transient open channel flows

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AU - Rao, Prasada

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N2 - Numerical modeling of open channel flows with shocks using explicit finite difference schemes is constrained by the choice of time step, which is limited by the CFL stability criteria. To overcome this limitation, in this work we introduce the application of a multiple grid algorithm to the field of computational hydraulics. By coupling this algorithm to a second-order accurate MacCormack scheme, we demonstrate that the solution can be accelerated to the desired transient state. The present formulation has been tested to simulate shocks arising from sudden closure of a sluice gate and for flows accompanied with a hydraulic jump. The close agreement between the obtained results and the theoretical findings indicates the reliability of the proposed algorithm. (C) 2000 Elsevier Science Ltd. All rights reserved.

AB - Numerical modeling of open channel flows with shocks using explicit finite difference schemes is constrained by the choice of time step, which is limited by the CFL stability criteria. To overcome this limitation, in this work we introduce the application of a multiple grid algorithm to the field of computational hydraulics. By coupling this algorithm to a second-order accurate MacCormack scheme, we demonstrate that the solution can be accelerated to the desired transient state. The present formulation has been tested to simulate shocks arising from sudden closure of a sluice gate and for flows accompanied with a hydraulic jump. The close agreement between the obtained results and the theoretical findings indicates the reliability of the proposed algorithm. (C) 2000 Elsevier Science Ltd. All rights reserved.

KW - Explicit

KW - Finite difference

KW - Open channels

KW - Shocks

KW - Transient

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A multiple grid algorithm for one-dimensional transient open channel flows

Abstract

Keywords

ASJC Scopus subject areas

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