Stability of a second-order method for phase change in porous media flow

Mario Alvarez; Bryan Gómez-Vargas; Ricardo Ruiz Baier; James Woodfield

doi:10.1002/pamm.201800021

Stability of a second-order method for phase change in porous media flow

Mario Alvarez, Bryan Gómez-Vargas, Ricardo Ruiz Baier, James Woodfield

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

Abstract

We analyse the stability of a second‐order finite element scheme for the primal formulation of a Brinkman‐Boussinesq model where the solidification process influences the drag and the viscosity. The problem is written in terms of velocity, temperature, and pressure, and we produce numerical approximations to the flow observed in heated cavities and near ice sheets.

Original language	English
Title of host publication	Proceedings in Applied Mathematics and Mechanics
Pages	1-2
Number of pages	2
Volume	18
Edition	1
DOIs	https://doi.org/10.1002/pamm.201800021
Publication status	Published - 2018
Externally published	Yes

Access to Document

10.1002/pamm.201800021

Cite this

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title = "Stability of a second-order method for phase change in porous media flow",

abstract = "We analyse the stability of a second‐order finite element scheme for the primal formulation of a Brinkman‐Boussinesq model where the solidification process influences the drag and the viscosity. The problem is written in terms of velocity, temperature, and pressure, and we produce numerical approximations to the flow observed in heated cavities and near ice sheets.",

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AU - Gómez-Vargas, Bryan

AU - Ruiz Baier, Ricardo

AU - Woodfield, James

PY - 2018

Y1 - 2018

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AB - We analyse the stability of a second‐order finite element scheme for the primal formulation of a Brinkman‐Boussinesq model where the solidification process influences the drag and the viscosity. The problem is written in terms of velocity, temperature, and pressure, and we produce numerical approximations to the flow observed in heated cavities and near ice sheets.

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DO - 10.1002/pamm.201800021

M3 - Conference Paper

VL - 18

SP - 1

EP - 2

BT - Proceedings in Applied Mathematics and Mechanics

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