The method of fundamental solutions for free surface Stefan problems

S Chantasiriwan; Bjorn Johansson; D Lesnic

doi:10.1016/j.enganabound.2008.08.010

The method of fundamental solutions for free surface Stefan problems

S Chantasiriwan, Bjorn Johansson, D Lesnic

Mathematics

Research output: Contribution to journal › Article

31 Citations (Scopus)

Abstract

In this paper, free surface problems of Stefan-type for the parabolic heat equation are investigated using the method of fundamental solutions. The additional measurement necessary to determine the free surface could be a boundary temperature, a heat flux or an energy measurement. Both one- and two-phase flows are investigated. Numerical results are presented and discussed. (C) 2008 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	529-538
Number of pages	10
Journal	Engineering Analysis with Boundary Elements
Volume	33
Issue number	4
DOIs	https://doi.org/10.1016/j.enganabound.2008.08.010
Publication status	Published - 1 Apr 2009

Keywords

Free surface
Stefan problem
Method of fundamental solutions

Access to Document

10.1016/j.enganabound.2008.08.010

Cite this

@article{29523b2ba9fa459c8834817fdc56c377,

title = "The method of fundamental solutions for free surface Stefan problems",

abstract = "In this paper, free surface problems of Stefan-type for the parabolic heat equation are investigated using the method of fundamental solutions. The additional measurement necessary to determine the free surface could be a boundary temperature, a heat flux or an energy measurement. Both one- and two-phase flows are investigated. Numerical results are presented and discussed. (C) 2008 Elsevier Ltd. All rights reserved.",

keywords = "Free surface, Stefan problem, Method of fundamental solutions",

author = "S Chantasiriwan and Bjorn Johansson and D Lesnic",

year = "2009",

month = apr,

day = "1",

doi = "10.1016/j.enganabound.2008.08.010",

language = "English",

volume = "33",

pages = "529--538",

journal = "Engineering Analysis with Boundary Elements",

publisher = "Elsevier",

number = "4",

}

TY - JOUR

T1 - The method of fundamental solutions for free surface Stefan problems

AU - Chantasiriwan, S

AU - Johansson, Bjorn

AU - Lesnic, D

PY - 2009/4/1

Y1 - 2009/4/1

N2 - In this paper, free surface problems of Stefan-type for the parabolic heat equation are investigated using the method of fundamental solutions. The additional measurement necessary to determine the free surface could be a boundary temperature, a heat flux or an energy measurement. Both one- and two-phase flows are investigated. Numerical results are presented and discussed. (C) 2008 Elsevier Ltd. All rights reserved.

AB - In this paper, free surface problems of Stefan-type for the parabolic heat equation are investigated using the method of fundamental solutions. The additional measurement necessary to determine the free surface could be a boundary temperature, a heat flux or an energy measurement. Both one- and two-phase flows are investigated. Numerical results are presented and discussed. (C) 2008 Elsevier Ltd. All rights reserved.

KW - Free surface

KW - Stefan problem

KW - Method of fundamental solutions

U2 - 10.1016/j.enganabound.2008.08.010

DO - 10.1016/j.enganabound.2008.08.010

M3 - Article

VL - 33

SP - 529

EP - 538

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

IS - 4

ER -

The method of fundamental solutions for free surface Stefan problems

Abstract

Keywords

Access to Document

Fingerprint

Cite this