Numerical simulations of large-scale cataclysmic floodwater: A simple depth-averaged model and an illustrative application

Hideaki Miyamoto, Kazumasa Itoh, Goro Komatsu, Victor Baker, James M. Dohm, Hiroyuki Tosaka, Sho Sasaki

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

A simple numerical simulation code is developed to quantitatively discuss the behaviors of past cataclysmic floods, whose rigorous hydraulic descriptions would be too complex to be supported by typically available field data. The code aims to keep the basic equations simple and the required computational costs low, which allows greater exploration of parameter space. Examination of both the qualitative meaning of turbulent equations and the relative importance of terms in the shallow water equation have resulted in the adoption of the depth-averaged diffusion wave approximation in two dimensions, as well as Manning's empirical equation for simplification. On the other hand, topography is included as a boundary condition, since topography plays an important role in selecting flood routes. The model provides important advantages over theoretical analyses or one-dimensional simulations, including: (1) the reproduction of complicated water flow paths such as bifurcations and reconvergences; (2) the reconstruction of hydrological relationships among the water paths; and (3) the direct comparison among the calculated extent of the flood inundation (including floodwater depths) and geological and geomorphological observations. Preliminary reconstructions of the Missoula floods demonstrate the advantages of this new approach. The method of coupling field-based flood information with two-dimensional analysis of an entire flow path provides a basis for estimating the peak discharges and flow durations of cataclysmic megafloods on Earth with direct bearing on the understanding of regional paleohydrological histories of Mars.

Original languageEnglish (US)
Pages (from-to)179-192
Number of pages14
JournalGeomorphology
Volume76
Issue number1-2
DOIs
StatePublished - Jun 5 2006

Fingerprint

simulation
topography
shallow-water equation
peak discharge
peak flow
bifurcation
Mars
water flow
boundary condition
hydraulics
history
cost
water
code
analysis
method
comparison
parameter

Keywords

  • Cataclysmic flood
  • Channeled Scabland
  • Depth-averaging method
  • Numerical model

ASJC Scopus subject areas

  • Earth-Surface Processes

Cite this

Numerical simulations of large-scale cataclysmic floodwater : A simple depth-averaged model and an illustrative application. / Miyamoto, Hideaki; Itoh, Kazumasa; Komatsu, Goro; Baker, Victor; Dohm, James M.; Tosaka, Hiroyuki; Sasaki, Sho.

In: Geomorphology, Vol. 76, No. 1-2, 05.06.2006, p. 179-192.

Research output: Contribution to journalArticle

Miyamoto, Hideaki ; Itoh, Kazumasa ; Komatsu, Goro ; Baker, Victor ; Dohm, James M. ; Tosaka, Hiroyuki ; Sasaki, Sho. / Numerical simulations of large-scale cataclysmic floodwater : A simple depth-averaged model and an illustrative application. In: Geomorphology. 2006 ; Vol. 76, No. 1-2. pp. 179-192.
@article{406c8450b2224f4a81cbf2cec81ea003,
title = "Numerical simulations of large-scale cataclysmic floodwater: A simple depth-averaged model and an illustrative application",
abstract = "A simple numerical simulation code is developed to quantitatively discuss the behaviors of past cataclysmic floods, whose rigorous hydraulic descriptions would be too complex to be supported by typically available field data. The code aims to keep the basic equations simple and the required computational costs low, which allows greater exploration of parameter space. Examination of both the qualitative meaning of turbulent equations and the relative importance of terms in the shallow water equation have resulted in the adoption of the depth-averaged diffusion wave approximation in two dimensions, as well as Manning's empirical equation for simplification. On the other hand, topography is included as a boundary condition, since topography plays an important role in selecting flood routes. The model provides important advantages over theoretical analyses or one-dimensional simulations, including: (1) the reproduction of complicated water flow paths such as bifurcations and reconvergences; (2) the reconstruction of hydrological relationships among the water paths; and (3) the direct comparison among the calculated extent of the flood inundation (including floodwater depths) and geological and geomorphological observations. Preliminary reconstructions of the Missoula floods demonstrate the advantages of this new approach. The method of coupling field-based flood information with two-dimensional analysis of an entire flow path provides a basis for estimating the peak discharges and flow durations of cataclysmic megafloods on Earth with direct bearing on the understanding of regional paleohydrological histories of Mars.",
keywords = "Cataclysmic flood, Channeled Scabland, Depth-averaging method, Numerical model",
author = "Hideaki Miyamoto and Kazumasa Itoh and Goro Komatsu and Victor Baker and Dohm, {James M.} and Hiroyuki Tosaka and Sho Sasaki",
year = "2006",
month = "6",
day = "5",
doi = "10.1016/j.geomorph.2005.11.002",
language = "English (US)",
volume = "76",
pages = "179--192",
journal = "Geomorphology",
issn = "0169-555X",
publisher = "Elsevier",
number = "1-2",

}

TY - JOUR

T1 - Numerical simulations of large-scale cataclysmic floodwater

T2 - A simple depth-averaged model and an illustrative application

AU - Miyamoto, Hideaki

AU - Itoh, Kazumasa

AU - Komatsu, Goro

AU - Baker, Victor

AU - Dohm, James M.

AU - Tosaka, Hiroyuki

AU - Sasaki, Sho

PY - 2006/6/5

Y1 - 2006/6/5

N2 - A simple numerical simulation code is developed to quantitatively discuss the behaviors of past cataclysmic floods, whose rigorous hydraulic descriptions would be too complex to be supported by typically available field data. The code aims to keep the basic equations simple and the required computational costs low, which allows greater exploration of parameter space. Examination of both the qualitative meaning of turbulent equations and the relative importance of terms in the shallow water equation have resulted in the adoption of the depth-averaged diffusion wave approximation in two dimensions, as well as Manning's empirical equation for simplification. On the other hand, topography is included as a boundary condition, since topography plays an important role in selecting flood routes. The model provides important advantages over theoretical analyses or one-dimensional simulations, including: (1) the reproduction of complicated water flow paths such as bifurcations and reconvergences; (2) the reconstruction of hydrological relationships among the water paths; and (3) the direct comparison among the calculated extent of the flood inundation (including floodwater depths) and geological and geomorphological observations. Preliminary reconstructions of the Missoula floods demonstrate the advantages of this new approach. The method of coupling field-based flood information with two-dimensional analysis of an entire flow path provides a basis for estimating the peak discharges and flow durations of cataclysmic megafloods on Earth with direct bearing on the understanding of regional paleohydrological histories of Mars.

AB - A simple numerical simulation code is developed to quantitatively discuss the behaviors of past cataclysmic floods, whose rigorous hydraulic descriptions would be too complex to be supported by typically available field data. The code aims to keep the basic equations simple and the required computational costs low, which allows greater exploration of parameter space. Examination of both the qualitative meaning of turbulent equations and the relative importance of terms in the shallow water equation have resulted in the adoption of the depth-averaged diffusion wave approximation in two dimensions, as well as Manning's empirical equation for simplification. On the other hand, topography is included as a boundary condition, since topography plays an important role in selecting flood routes. The model provides important advantages over theoretical analyses or one-dimensional simulations, including: (1) the reproduction of complicated water flow paths such as bifurcations and reconvergences; (2) the reconstruction of hydrological relationships among the water paths; and (3) the direct comparison among the calculated extent of the flood inundation (including floodwater depths) and geological and geomorphological observations. Preliminary reconstructions of the Missoula floods demonstrate the advantages of this new approach. The method of coupling field-based flood information with two-dimensional analysis of an entire flow path provides a basis for estimating the peak discharges and flow durations of cataclysmic megafloods on Earth with direct bearing on the understanding of regional paleohydrological histories of Mars.

KW - Cataclysmic flood

KW - Channeled Scabland

KW - Depth-averaging method

KW - Numerical model

UR - http://www.scopus.com/inward/record.url?scp=33646498331&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646498331&partnerID=8YFLogxK

U2 - 10.1016/j.geomorph.2005.11.002

DO - 10.1016/j.geomorph.2005.11.002

M3 - Article

AN - SCOPUS:33646498331

VL - 76

SP - 179

EP - 192

JO - Geomorphology

JF - Geomorphology

SN - 0169-555X

IS - 1-2

ER -