Godunov-type solutions with discrete gas cavity model for transient cavitating pipe flow

Ling Zhou, Huan Wang, Anton Bergant, Arris S. Tijsseling, Deyou Liu, Su Guo

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
1 Downloads (Pure)

Abstract

To simulate transient cavitating pipe flow, the discrete gas cavity model (DGCM) is combined with first-order and second-order finite-volume method (FVM) Godunov-type schemes. The earlier discrete vapor cavity model (DVCM) and DGCM based on the method of characteristics (MOC) are known to produce unrealistic pressure spikes. The new FVM-DGCM extends the previously developed FVM-DVCM through the introduction of a very small amount of free gas at the middle of each computation cell. Importantly, a pressure adjustment procedure is proposed to establish the relation between the cavity and the halves of the reach. Predictions of FVM-DGCM are compared with those of FVM-DVCM and MOC-DGCM and with experimental data. Results show that the proposed model reproduces the experimental pressure histories considerably better than the other two models. In particular, it produces fewer spikes, but-as in the old models-the first pressure peak due to cavity collapse is predicted much better than the subsequent peaks. The second-order FVM-DGCM is found to be accurate and robust, even for Courant numbers significantly less than 1.

Original languageEnglish
Article number04018017
JournalJournal of Hydraulic Engineering
Volume144
Issue number5
DOIs
Publication statusPublished - 1 May 2018

Fingerprint

pipe flow
transient flow
Pipe flow
cavity
finite volume method
Finite volume method
Gases
gas
Vapors

Keywords

  • Discrete gas cavity model
  • Finite volume method
  • Godunov-type scheme
  • Pipe flow
  • Vaporous cavitation

Cite this

@article{33e81385e374479bbb38f214c93ab174,
title = "Godunov-type solutions with discrete gas cavity model for transient cavitating pipe flow",
abstract = "To simulate transient cavitating pipe flow, the discrete gas cavity model (DGCM) is combined with first-order and second-order finite-volume method (FVM) Godunov-type schemes. The earlier discrete vapor cavity model (DVCM) and DGCM based on the method of characteristics (MOC) are known to produce unrealistic pressure spikes. The new FVM-DGCM extends the previously developed FVM-DVCM through the introduction of a very small amount of free gas at the middle of each computation cell. Importantly, a pressure adjustment procedure is proposed to establish the relation between the cavity and the halves of the reach. Predictions of FVM-DGCM are compared with those of FVM-DVCM and MOC-DGCM and with experimental data. Results show that the proposed model reproduces the experimental pressure histories considerably better than the other two models. In particular, it produces fewer spikes, but-as in the old models-the first pressure peak due to cavity collapse is predicted much better than the subsequent peaks. The second-order FVM-DGCM is found to be accurate and robust, even for Courant numbers significantly less than 1.",
keywords = "Discrete gas cavity model, Finite volume method, Godunov-type scheme, Pipe flow, Vaporous cavitation",
author = "Ling Zhou and Huan Wang and Anton Bergant and Tijsseling, {Arris S.} and Deyou Liu and Su Guo",
year = "2018",
month = "5",
day = "1",
doi = "10.1061/(ASCE)HY.1943-7900.0001463",
language = "English",
volume = "144",
journal = "Journal of Hydraulic Engineering",
issn = "0733-9429",
publisher = "American Society of Civil Engineers (ASCE)",
number = "5",

}

Godunov-type solutions with discrete gas cavity model for transient cavitating pipe flow. / Zhou, Ling; Wang, Huan; Bergant, Anton; Tijsseling, Arris S.; Liu, Deyou; Guo, Su.

In: Journal of Hydraulic Engineering, Vol. 144, No. 5, 04018017, 01.05.2018.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Godunov-type solutions with discrete gas cavity model for transient cavitating pipe flow

AU - Zhou, Ling

AU - Wang, Huan

AU - Bergant, Anton

AU - Tijsseling, Arris S.

AU - Liu, Deyou

AU - Guo, Su

PY - 2018/5/1

Y1 - 2018/5/1

N2 - To simulate transient cavitating pipe flow, the discrete gas cavity model (DGCM) is combined with first-order and second-order finite-volume method (FVM) Godunov-type schemes. The earlier discrete vapor cavity model (DVCM) and DGCM based on the method of characteristics (MOC) are known to produce unrealistic pressure spikes. The new FVM-DGCM extends the previously developed FVM-DVCM through the introduction of a very small amount of free gas at the middle of each computation cell. Importantly, a pressure adjustment procedure is proposed to establish the relation between the cavity and the halves of the reach. Predictions of FVM-DGCM are compared with those of FVM-DVCM and MOC-DGCM and with experimental data. Results show that the proposed model reproduces the experimental pressure histories considerably better than the other two models. In particular, it produces fewer spikes, but-as in the old models-the first pressure peak due to cavity collapse is predicted much better than the subsequent peaks. The second-order FVM-DGCM is found to be accurate and robust, even for Courant numbers significantly less than 1.

AB - To simulate transient cavitating pipe flow, the discrete gas cavity model (DGCM) is combined with first-order and second-order finite-volume method (FVM) Godunov-type schemes. The earlier discrete vapor cavity model (DVCM) and DGCM based on the method of characteristics (MOC) are known to produce unrealistic pressure spikes. The new FVM-DGCM extends the previously developed FVM-DVCM through the introduction of a very small amount of free gas at the middle of each computation cell. Importantly, a pressure adjustment procedure is proposed to establish the relation between the cavity and the halves of the reach. Predictions of FVM-DGCM are compared with those of FVM-DVCM and MOC-DGCM and with experimental data. Results show that the proposed model reproduces the experimental pressure histories considerably better than the other two models. In particular, it produces fewer spikes, but-as in the old models-the first pressure peak due to cavity collapse is predicted much better than the subsequent peaks. The second-order FVM-DGCM is found to be accurate and robust, even for Courant numbers significantly less than 1.

KW - Discrete gas cavity model

KW - Finite volume method

KW - Godunov-type scheme

KW - Pipe flow

KW - Vaporous cavitation

UR - http://www.scopus.com/inward/record.url?scp=85044006138&partnerID=8YFLogxK

U2 - 10.1061/(ASCE)HY.1943-7900.0001463

DO - 10.1061/(ASCE)HY.1943-7900.0001463

M3 - Article

AN - SCOPUS:85044006138

VL - 144

JO - Journal of Hydraulic Engineering

JF - Journal of Hydraulic Engineering

SN - 0733-9429

IS - 5

M1 - 04018017

ER -