### Abstract

A mathematical model is developed for an unsteady, one-dimensional, single-layer, depth-averaged turbidity current driven by sediment of uniform size and temperature difference in a stratified ambient fluid. As both inflow and outflow current boundaries move in time, they are fixed by a suitable transformation of coordinate system. A deforming grid method overcomes the problem of a numerically 'dry' bed associated with the standard fixed-grid approach. The explicit Ultimate Quickest method of the third order in both time and space has been selected as particularly appropriate for solving hyperbolic governing equations that admit shocks and discontinuities. The original method is significantly improved in terms of computational efficiency by the introduction of time stretching that follows grid stretching in the longitudinal direction, thus maintaining the initial Courant number. The model is also capable of tracking the evolution of the bed in response to erosion and deposition of sediment.

Original language | English (US) |
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Title of host publication | Computational methods in water resources - Volume 2 - Computational methods,surface water systems and hydrology |

Editors | L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, G.F. Pinder, L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, G.F. Pinder |

Publisher | A.A.Balkema |

Pages | 1075-1082 |

Number of pages | 8 |

ISBN (Print) | 9058091252 |

State | Published - 2000 |

Externally published | Yes |

Event | Computational Methods in Water Resources - Calgary, Canada Duration: Jun 25 2000 → Jun 29 2000 |

### Other

Other | Computational Methods in Water Resources |
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Country | Canada |

City | Calgary |

Period | 6/25/00 → 6/29/00 |

### Fingerprint

### ASJC Scopus subject areas

- Earth and Planetary Sciences(all)
- Engineering(all)
- Environmental Science(all)

### Cite this

*Computational methods in water resources - Volume 2 - Computational methods,surface water systems and hydrology*(pp. 1075-1082). A.A.Balkema.

**Front-fixing modeling of turbidity currents.** / Kostic, S.; Parker, Gary.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Computational methods in water resources - Volume 2 - Computational methods,surface water systems and hydrology.*A.A.Balkema, pp. 1075-1082, Computational Methods in Water Resources, Calgary, Canada, 6/25/00.

}

TY - GEN

T1 - Front-fixing modeling of turbidity currents

AU - Kostic, S.

AU - Parker, Gary

PY - 2000

Y1 - 2000

N2 - A mathematical model is developed for an unsteady, one-dimensional, single-layer, depth-averaged turbidity current driven by sediment of uniform size and temperature difference in a stratified ambient fluid. As both inflow and outflow current boundaries move in time, they are fixed by a suitable transformation of coordinate system. A deforming grid method overcomes the problem of a numerically 'dry' bed associated with the standard fixed-grid approach. The explicit Ultimate Quickest method of the third order in both time and space has been selected as particularly appropriate for solving hyperbolic governing equations that admit shocks and discontinuities. The original method is significantly improved in terms of computational efficiency by the introduction of time stretching that follows grid stretching in the longitudinal direction, thus maintaining the initial Courant number. The model is also capable of tracking the evolution of the bed in response to erosion and deposition of sediment.

AB - A mathematical model is developed for an unsteady, one-dimensional, single-layer, depth-averaged turbidity current driven by sediment of uniform size and temperature difference in a stratified ambient fluid. As both inflow and outflow current boundaries move in time, they are fixed by a suitable transformation of coordinate system. A deforming grid method overcomes the problem of a numerically 'dry' bed associated with the standard fixed-grid approach. The explicit Ultimate Quickest method of the third order in both time and space has been selected as particularly appropriate for solving hyperbolic governing equations that admit shocks and discontinuities. The original method is significantly improved in terms of computational efficiency by the introduction of time stretching that follows grid stretching in the longitudinal direction, thus maintaining the initial Courant number. The model is also capable of tracking the evolution of the bed in response to erosion and deposition of sediment.

UR - http://www.scopus.com/inward/record.url?scp=0033663694&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033663694&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0033663694

SN - 9058091252

SP - 1075

EP - 1082

BT - Computational methods in water resources - Volume 2 - Computational methods,surface water systems and hydrology

A2 - Bentley, L.R.

A2 - Sykes, J.F.

A2 - Brebbia, C.A.

A2 - Gray, W.G.

A2 - Pinder, G.F.

A2 - Bentley, L.R.

A2 - Sykes, J.F.

A2 - Brebbia, C.A.

A2 - Gray, W.G.

A2 - Pinder, G.F.

PB - A.A.Balkema

ER -