The MAST-FV/FE scheme for the simulation of two-dimensional thermohaline processes in variable density saturated porous media

Arico' C; Tucciarelli T

Risultato della ricerca: Article

5 Citazioni (Scopus)

Abstract

A novel methodology for the simulation of 2D thermohaline double diffusive processes, driven by heterogeneous temperature and concentration fields in variable-density saturated porous media, is presented. The stream function is used to describe the flow field and it is defined in terms of mass flux. The partial differential equations governing system is given by the mass conservation equation of the fluid phase written in terms of the mass-based stream function, as well as by the advection-diffusion transport equations of the contaminant concentration and of the heat. The unknown variables are the stream function, the contaminant concentration and the temperature. The governing equations system is solved using a fractional time step procedure, splitting the convective components from the diffusive ones. In the case of existing scalar potential of the flow field, the convective components are solved using a finite volume marching in space and time (MAST) procedure; this solves a sequence of small systems of ordinary differential equations, one for each computational cell, according to the decreasing value of the scalar potential. In the case of variable-density groundwater transport problem, where a scalar potential of the flow field does not exist, a second MAST procedure has to be applied to solve again the ODEs according to the increasing value of a new function, called approximated potential. The diffusive components are solved using a standard Galerkin finite element method. The numerical scheme is validated using literature tests. © 2008 Elsevier Inc. All rights reserved.
Lingua originaleEnglish
pagine (da-a)1234-1274
Numero di pagine41
RivistaJournal of Computational Physics
Volume228(4)
Stato di pubblicazionePublished - 2009

Fingerprint

Porous materials
Flow fields
flow distribution
scalars
contaminants
simulation
Impurities
conservation equations
Advection
ground water
advection
Ordinary differential equations
partial differential equations
Partial differential equations
Groundwater
Conservation
finite element method
temperature distribution
differential equations
Mass transfer

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)
  • Computer Science Applications

Cita questo

@article{93bafaadc54848a799effc4277b2f2e9,
title = "The MAST-FV/FE scheme for the simulation of two-dimensional thermohaline processes in variable density saturated porous media",
abstract = "A novel methodology for the simulation of 2D thermohaline double diffusive processes, driven by heterogeneous temperature and concentration fields in variable-density saturated porous media, is presented. The stream function is used to describe the flow field and it is defined in terms of mass flux. The partial differential equations governing system is given by the mass conservation equation of the fluid phase written in terms of the mass-based stream function, as well as by the advection-diffusion transport equations of the contaminant concentration and of the heat. The unknown variables are the stream function, the contaminant concentration and the temperature. The governing equations system is solved using a fractional time step procedure, splitting the convective components from the diffusive ones. In the case of existing scalar potential of the flow field, the convective components are solved using a finite volume marching in space and time (MAST) procedure; this solves a sequence of small systems of ordinary differential equations, one for each computational cell, according to the decreasing value of the scalar potential. In the case of variable-density groundwater transport problem, where a scalar potential of the flow field does not exist, a second MAST procedure has to be applied to solve again the ODEs according to the increasing value of a new function, called approximated potential. The diffusive components are solved using a standard Galerkin finite element method. The numerical scheme is validated using literature tests. {\circledC} 2008 Elsevier Inc. All rights reserved.",
author = "{Arico' C; Tucciarelli T} and Tullio Tucciarelli and Costanza Arico'",
year = "2009",
language = "English",
volume = "228(4)",
pages = "1234--1274",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - The MAST-FV/FE scheme for the simulation of two-dimensional thermohaline processes in variable density saturated porous media

AU - Arico' C; Tucciarelli T

AU - Tucciarelli, Tullio

AU - Arico', Costanza

PY - 2009

Y1 - 2009

N2 - A novel methodology for the simulation of 2D thermohaline double diffusive processes, driven by heterogeneous temperature and concentration fields in variable-density saturated porous media, is presented. The stream function is used to describe the flow field and it is defined in terms of mass flux. The partial differential equations governing system is given by the mass conservation equation of the fluid phase written in terms of the mass-based stream function, as well as by the advection-diffusion transport equations of the contaminant concentration and of the heat. The unknown variables are the stream function, the contaminant concentration and the temperature. The governing equations system is solved using a fractional time step procedure, splitting the convective components from the diffusive ones. In the case of existing scalar potential of the flow field, the convective components are solved using a finite volume marching in space and time (MAST) procedure; this solves a sequence of small systems of ordinary differential equations, one for each computational cell, according to the decreasing value of the scalar potential. In the case of variable-density groundwater transport problem, where a scalar potential of the flow field does not exist, a second MAST procedure has to be applied to solve again the ODEs according to the increasing value of a new function, called approximated potential. The diffusive components are solved using a standard Galerkin finite element method. The numerical scheme is validated using literature tests. © 2008 Elsevier Inc. All rights reserved.

AB - A novel methodology for the simulation of 2D thermohaline double diffusive processes, driven by heterogeneous temperature and concentration fields in variable-density saturated porous media, is presented. The stream function is used to describe the flow field and it is defined in terms of mass flux. The partial differential equations governing system is given by the mass conservation equation of the fluid phase written in terms of the mass-based stream function, as well as by the advection-diffusion transport equations of the contaminant concentration and of the heat. The unknown variables are the stream function, the contaminant concentration and the temperature. The governing equations system is solved using a fractional time step procedure, splitting the convective components from the diffusive ones. In the case of existing scalar potential of the flow field, the convective components are solved using a finite volume marching in space and time (MAST) procedure; this solves a sequence of small systems of ordinary differential equations, one for each computational cell, according to the decreasing value of the scalar potential. In the case of variable-density groundwater transport problem, where a scalar potential of the flow field does not exist, a second MAST procedure has to be applied to solve again the ODEs according to the increasing value of a new function, called approximated potential. The diffusive components are solved using a standard Galerkin finite element method. The numerical scheme is validated using literature tests. © 2008 Elsevier Inc. All rights reserved.

UR - http://hdl.handle.net/10447/192177

M3 - Article

VL - 228(4)

SP - 1234

EP - 1274

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

ER -