Numerical simulation of spilled oil by fictitious domain method

Hiroshi Suito, Hideo Kawarada

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Pollution due to spilled oil presents serious natural environment issues. In order to take effective measures against such accidents, the knowledge of behavior of oil in such accidents is urgently required. Although its behavior both offshore and in the surfzone is important, this paper concentrates on the latter problem. A flow field of seawater and spilled oil above and under the beach is simulated numerically in this study. This research effort adopts the Cross model as a constitutive equation for spilled oil. Oil adhesion properties are taken into consideration through a friction type boundary condition prescribed on the surface of spilled oil. Flow equations for respective fluids and boundary conditions between them are unified into a single flow equation to construct a numerical model. The fictitious domain method plays an important role in the unification procedure. Computation becomes rather simple due to unification of equations.

Original languageEnglish
Pages (from-to)219-236
Number of pages18
JournalJapan Journal of Industrial and Applied Mathematics
Volume21
Issue number2
Publication statusPublished - Jun 2004

Fingerprint

Fictitious Domain Method
Numerical Simulation
Computer simulation
Unification
Accidents
Boundary conditions
Adhesion
Beaches
Constitutive Equation
Constitutive equations
Pollution
Seawater
Flow Field
Oils
Numerical models
Friction
Flow fields
Fluid
Fluids

Keywords

  • Cross model
  • Fictitious domain method
  • Navier-Stokes equation
  • Non-Newtonian fluid
  • Porous media

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Numerical simulation of spilled oil by fictitious domain method. / Suito, Hiroshi; Kawarada, Hideo.

In: Japan Journal of Industrial and Applied Mathematics, Vol. 21, No. 2, 06.2004, p. 219-236.

Research output: Contribution to journalArticle

Suito, Hiroshi ; Kawarada, Hideo. / Numerical simulation of spilled oil by fictitious domain method. In: Japan Journal of Industrial and Applied Mathematics. 2004 ; Vol. 21, No. 2. pp. 219-236.
@article{30fdee8b22a14d1fa97f10b9b477445d,
title = "Numerical simulation of spilled oil by fictitious domain method",
abstract = "Pollution due to spilled oil presents serious natural environment issues. In order to take effective measures against such accidents, the knowledge of behavior of oil in such accidents is urgently required. Although its behavior both offshore and in the surfzone is important, this paper concentrates on the latter problem. A flow field of seawater and spilled oil above and under the beach is simulated numerically in this study. This research effort adopts the Cross model as a constitutive equation for spilled oil. Oil adhesion properties are taken into consideration through a friction type boundary condition prescribed on the surface of spilled oil. Flow equations for respective fluids and boundary conditions between them are unified into a single flow equation to construct a numerical model. The fictitious domain method plays an important role in the unification procedure. Computation becomes rather simple due to unification of equations.",
keywords = "Cross model, Fictitious domain method, Navier-Stokes equation, Non-Newtonian fluid, Porous media",
author = "Hiroshi Suito and Hideo Kawarada",
year = "2004",
month = "6",
language = "English",
volume = "21",
pages = "219--236",
journal = "Japan Journal of Industrial and Applied Mathematics",
issn = "0916-7005",
publisher = "Springer Japan",
number = "2",

}

TY - JOUR

T1 - Numerical simulation of spilled oil by fictitious domain method

AU - Suito, Hiroshi

AU - Kawarada, Hideo

PY - 2004/6

Y1 - 2004/6

N2 - Pollution due to spilled oil presents serious natural environment issues. In order to take effective measures against such accidents, the knowledge of behavior of oil in such accidents is urgently required. Although its behavior both offshore and in the surfzone is important, this paper concentrates on the latter problem. A flow field of seawater and spilled oil above and under the beach is simulated numerically in this study. This research effort adopts the Cross model as a constitutive equation for spilled oil. Oil adhesion properties are taken into consideration through a friction type boundary condition prescribed on the surface of spilled oil. Flow equations for respective fluids and boundary conditions between them are unified into a single flow equation to construct a numerical model. The fictitious domain method plays an important role in the unification procedure. Computation becomes rather simple due to unification of equations.

AB - Pollution due to spilled oil presents serious natural environment issues. In order to take effective measures against such accidents, the knowledge of behavior of oil in such accidents is urgently required. Although its behavior both offshore and in the surfzone is important, this paper concentrates on the latter problem. A flow field of seawater and spilled oil above and under the beach is simulated numerically in this study. This research effort adopts the Cross model as a constitutive equation for spilled oil. Oil adhesion properties are taken into consideration through a friction type boundary condition prescribed on the surface of spilled oil. Flow equations for respective fluids and boundary conditions between them are unified into a single flow equation to construct a numerical model. The fictitious domain method plays an important role in the unification procedure. Computation becomes rather simple due to unification of equations.

KW - Cross model

KW - Fictitious domain method

KW - Navier-Stokes equation

KW - Non-Newtonian fluid

KW - Porous media

UR - http://www.scopus.com/inward/record.url?scp=3042776931&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3042776931&partnerID=8YFLogxK

M3 - Article

VL - 21

SP - 219

EP - 236

JO - Japan Journal of Industrial and Applied Mathematics

JF - Japan Journal of Industrial and Applied Mathematics

SN - 0916-7005

IS - 2

ER -