Modeling Two-Dimensional Freezing Using Transfinite Mappings and a Moving-Mesh Finite Element Technique
Freezing phase change problems in conduction heat transfer represent a set of moving boundary problems for which much interest currently exists. In the work presented here, two-dimensional freezing is modeled by incorporating the use of transfinite mappings with a moving-mesh finite element techniqu...
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ftdtic:ADA144131 2023-05-15T16:37:39+02:00 Modeling Two-Dimensional Freezing Using Transfinite Mappings and a Moving-Mesh Finite Element Technique Albert,M R COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER NH 1984-05 text/html http://www.dtic.mil/docs/citations/ADA144131 http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA144131 en eng http://www.dtic.mil/docs/citations/ADA144131 APPROVED FOR PUBLIC RELEASE DTIC AND NTIS Snow Ice and Permafrost Numerical Mathematics *MATHEMATICAL MODELS *FREEZING *BOUNDARY VALUE PROBLEMS TWO DIMENSIONAL FINITE ELEMENT ANALYSIS ICE FORMATION APPLIED MATHEMATICS CONDUCTION(HEAT TRANSFER) MAPPING(TRANSFORMATIONS) Freezing phase change Transfinite mapping Text 1984 ftdtic 2016-02-20T23:03:34Z Freezing phase change problems in conduction heat transfer represent a set of moving boundary problems for which much interest currently exists. In the work presented here, two-dimensional freezing is modeled by incorporating the use of transfinite mappings with a moving-mesh finite element technique. The use of transfinite mapping in a governing interior mesh motion is shown to provide very acceptable results and is demonstrated to be the most efficient general computational technique used to date. The model developed is capable of using either Cartesian or cylindrical coordinates. Both frozen and unfrozen phases may be modeled when conduction governs behavior in both. In the case of freezing of a fluid as it flows through a pipe the usefulness of always having the phase boundary coincident with element boundaries is demonstrated. Results of the model are shown to compare well with analytical and experimental results. A von Neumann stability analysis is performed for the numerical solution and tends to support the observation that the occurrence of a high Peclet number in the moving-mesh model of heat conduction may produce distortions of the numerical solution. (Author) Text Ice permafrost Defense Technical Information Center: DTIC Technical Reports database |
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Open Polar |
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Defense Technical Information Center: DTIC Technical Reports database |
op_collection_id |
ftdtic |
language |
English |
topic |
Snow Ice and Permafrost Numerical Mathematics *MATHEMATICAL MODELS *FREEZING *BOUNDARY VALUE PROBLEMS TWO DIMENSIONAL FINITE ELEMENT ANALYSIS ICE FORMATION APPLIED MATHEMATICS CONDUCTION(HEAT TRANSFER) MAPPING(TRANSFORMATIONS) Freezing phase change Transfinite mapping |
spellingShingle |
Snow Ice and Permafrost Numerical Mathematics *MATHEMATICAL MODELS *FREEZING *BOUNDARY VALUE PROBLEMS TWO DIMENSIONAL FINITE ELEMENT ANALYSIS ICE FORMATION APPLIED MATHEMATICS CONDUCTION(HEAT TRANSFER) MAPPING(TRANSFORMATIONS) Freezing phase change Transfinite mapping Albert,M R Modeling Two-Dimensional Freezing Using Transfinite Mappings and a Moving-Mesh Finite Element Technique |
topic_facet |
Snow Ice and Permafrost Numerical Mathematics *MATHEMATICAL MODELS *FREEZING *BOUNDARY VALUE PROBLEMS TWO DIMENSIONAL FINITE ELEMENT ANALYSIS ICE FORMATION APPLIED MATHEMATICS CONDUCTION(HEAT TRANSFER) MAPPING(TRANSFORMATIONS) Freezing phase change Transfinite mapping |
description |
Freezing phase change problems in conduction heat transfer represent a set of moving boundary problems for which much interest currently exists. In the work presented here, two-dimensional freezing is modeled by incorporating the use of transfinite mappings with a moving-mesh finite element technique. The use of transfinite mapping in a governing interior mesh motion is shown to provide very acceptable results and is demonstrated to be the most efficient general computational technique used to date. The model developed is capable of using either Cartesian or cylindrical coordinates. Both frozen and unfrozen phases may be modeled when conduction governs behavior in both. In the case of freezing of a fluid as it flows through a pipe the usefulness of always having the phase boundary coincident with element boundaries is demonstrated. Results of the model are shown to compare well with analytical and experimental results. A von Neumann stability analysis is performed for the numerical solution and tends to support the observation that the occurrence of a high Peclet number in the moving-mesh model of heat conduction may produce distortions of the numerical solution. (Author) |
author2 |
COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER NH |
format |
Text |
author |
Albert,M R |
author_facet |
Albert,M R |
author_sort |
Albert,M R |
title |
Modeling Two-Dimensional Freezing Using Transfinite Mappings and a Moving-Mesh Finite Element Technique |
title_short |
Modeling Two-Dimensional Freezing Using Transfinite Mappings and a Moving-Mesh Finite Element Technique |
title_full |
Modeling Two-Dimensional Freezing Using Transfinite Mappings and a Moving-Mesh Finite Element Technique |
title_fullStr |
Modeling Two-Dimensional Freezing Using Transfinite Mappings and a Moving-Mesh Finite Element Technique |
title_full_unstemmed |
Modeling Two-Dimensional Freezing Using Transfinite Mappings and a Moving-Mesh Finite Element Technique |
title_sort |
modeling two-dimensional freezing using transfinite mappings and a moving-mesh finite element technique |
publishDate |
1984 |
url |
http://www.dtic.mil/docs/citations/ADA144131 http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA144131 |
genre |
Ice permafrost |
genre_facet |
Ice permafrost |
op_source |
DTIC AND NTIS |
op_relation |
http://www.dtic.mil/docs/citations/ADA144131 |
op_rights |
APPROVED FOR PUBLIC RELEASE |
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1766027949765558272 |