Vortex generation and flow pattern development after a solitary wave passing over a bottom cavity

Chih Hua Chang, Chii-Jau Tang, Chang Lin

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Several vortices are generated immediately inside the cavity for a short duration when a solitary wave passes over a bottom cavity in shallow water. Afterward, the primary vortex grows gradually in size and then is transported outward to breed another counter-rotating vortex to form a jet in the tranquil environment. In this study, a two-dimensional streamfunction-vorticity model was treated in a transient grid to conform the free surface and formulated by the Finite Analytic (FA) discretization to seek a time-accurate numerical solution. We used an overset grid to refine the small region around the cavity to improve the solution accuracy and obtain computational efficiency in the analysis. The model was first validated for a quasi-steady boundary-layer flow, induced by a solitary wave passing over a flat bottom, through the comparison of velocity profiles with Liu et al. [J Fluid Mech 2007;574:449-63]. Then, the evolved vortical flow for the cavity problem was investigated under the effects of various sizes of a cavity and various amplitudes of the incident solitary wave. These simulated results showed consistent agreement in the evolved vortex patterns with the visualization experiment in laboratory.

Original languageEnglish
Pages (from-to)79-92
Number of pages14
JournalComputers and Fluids
Volume53
Issue number1
DOIs
Publication statusPublished - 2012 Jan 15

Fingerprint

Solitons
Flow patterns
Vortex flow
Boundary layer flow
Computational efficiency
Vorticity
Visualization
Fluids
Water
Experiments

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Engineering(all)

Cite this

@article{b5d7f64c6f2e498a84215d22883a495a,
title = "Vortex generation and flow pattern development after a solitary wave passing over a bottom cavity",
abstract = "Several vortices are generated immediately inside the cavity for a short duration when a solitary wave passes over a bottom cavity in shallow water. Afterward, the primary vortex grows gradually in size and then is transported outward to breed another counter-rotating vortex to form a jet in the tranquil environment. In this study, a two-dimensional streamfunction-vorticity model was treated in a transient grid to conform the free surface and formulated by the Finite Analytic (FA) discretization to seek a time-accurate numerical solution. We used an overset grid to refine the small region around the cavity to improve the solution accuracy and obtain computational efficiency in the analysis. The model was first validated for a quasi-steady boundary-layer flow, induced by a solitary wave passing over a flat bottom, through the comparison of velocity profiles with Liu et al. [J Fluid Mech 2007;574:449-63]. Then, the evolved vortical flow for the cavity problem was investigated under the effects of various sizes of a cavity and various amplitudes of the incident solitary wave. These simulated results showed consistent agreement in the evolved vortex patterns with the visualization experiment in laboratory.",
author = "Chang, {Chih Hua} and Chii-Jau Tang and Chang Lin",
year = "2012",
month = "1",
day = "15",
doi = "10.1016/j.compfluid.2011.09.008",
language = "English",
volume = "53",
pages = "79--92",
journal = "Computers and Fluids",
issn = "0045-7930",
publisher = "Elsevier Limited",
number = "1",

}

Vortex generation and flow pattern development after a solitary wave passing over a bottom cavity. / Chang, Chih Hua; Tang, Chii-Jau; Lin, Chang.

In: Computers and Fluids, Vol. 53, No. 1, 15.01.2012, p. 79-92.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Vortex generation and flow pattern development after a solitary wave passing over a bottom cavity

AU - Chang, Chih Hua

AU - Tang, Chii-Jau

AU - Lin, Chang

PY - 2012/1/15

Y1 - 2012/1/15

N2 - Several vortices are generated immediately inside the cavity for a short duration when a solitary wave passes over a bottom cavity in shallow water. Afterward, the primary vortex grows gradually in size and then is transported outward to breed another counter-rotating vortex to form a jet in the tranquil environment. In this study, a two-dimensional streamfunction-vorticity model was treated in a transient grid to conform the free surface and formulated by the Finite Analytic (FA) discretization to seek a time-accurate numerical solution. We used an overset grid to refine the small region around the cavity to improve the solution accuracy and obtain computational efficiency in the analysis. The model was first validated for a quasi-steady boundary-layer flow, induced by a solitary wave passing over a flat bottom, through the comparison of velocity profiles with Liu et al. [J Fluid Mech 2007;574:449-63]. Then, the evolved vortical flow for the cavity problem was investigated under the effects of various sizes of a cavity and various amplitudes of the incident solitary wave. These simulated results showed consistent agreement in the evolved vortex patterns with the visualization experiment in laboratory.

AB - Several vortices are generated immediately inside the cavity for a short duration when a solitary wave passes over a bottom cavity in shallow water. Afterward, the primary vortex grows gradually in size and then is transported outward to breed another counter-rotating vortex to form a jet in the tranquil environment. In this study, a two-dimensional streamfunction-vorticity model was treated in a transient grid to conform the free surface and formulated by the Finite Analytic (FA) discretization to seek a time-accurate numerical solution. We used an overset grid to refine the small region around the cavity to improve the solution accuracy and obtain computational efficiency in the analysis. The model was first validated for a quasi-steady boundary-layer flow, induced by a solitary wave passing over a flat bottom, through the comparison of velocity profiles with Liu et al. [J Fluid Mech 2007;574:449-63]. Then, the evolved vortical flow for the cavity problem was investigated under the effects of various sizes of a cavity and various amplitudes of the incident solitary wave. These simulated results showed consistent agreement in the evolved vortex patterns with the visualization experiment in laboratory.

UR - http://www.scopus.com/inward/record.url?scp=81355148522&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=81355148522&partnerID=8YFLogxK

U2 - 10.1016/j.compfluid.2011.09.008

DO - 10.1016/j.compfluid.2011.09.008

M3 - Article

AN - SCOPUS:81355148522

VL - 53

SP - 79

EP - 92

JO - Computers and Fluids

JF - Computers and Fluids

SN - 0045-7930

IS - 1

ER -