{
"USGS Publications Warehouse": {
"@context": "https://schema.org",
"@type": "Article",
"additionalType": "Journal Article",
"name": "Adaptive moving mesh methods for simulating one-dimensional groundwater problems with sharp moving fronts",
"identifier": [
{
"@type": "PropertyValue",
"propertyID": "USGS Publications Warehouse IndexID",
"value": "70024421",
"url": "https://pubs.usgs.gov/publication/70024421"
},
{
"@type": "PropertyValue",
"propertyID": "USGS Publications Warehouse Internal ID",
"value": 70024421
},
{
"@type": "PropertyValue",
"propertyID": "DOI",
"value": "10.1002/nme.482",
"url": "https://doi.org/10.1002/nme.482"
},
{
"@type": "PropertyValue",
"propertyID": "ISSN",
"value": "00295981"
}
],
"journal": {
"@type": "Periodical",
"name": "International Journal for Numerical Methods in Engineering",
"volumeNumber": "54",
"issueNumber": "11"
},
"inLanguage": "en",
"isPartOf": [
{
"@type": "CreativeWorkSeries",
"name": "International Journal for Numerical Methods in Engineering"
}
],
"datePublished": "2002",
"dateModified": "2012-03-12",
"abstract": "Accurate modelling of groundwater flow and transport with sharp moving fronts often involves high computational cost, when a fixed/uniform mesh is used. In this paper, we investigate the modelling of groundwater problems using a particular adaptive mesh method called the moving mesh partial differential equation approach. With this approach, the mesh is dynamically relocated through a partial differential equation to capture the evolving sharp fronts with a relatively small number of grid points. The mesh movement and physical system modelling are realized by solving the mesh movement and physical partial differential equations alternately. The method is applied to the modelling of a range of groundwater problems, including advection dominated chemical transport and reaction, non-linear infiltration in soil, and the coupling of density dependent flow and transport. Numerical results demonstrate that sharp moving fronts can be accurately and efficiently captured by the moving mesh approach. Also addressed are important implementation strategies, e.g. the construction of the monitor function based on the interpolation error, control of mesh concentration, and two-layer mesh movement. Copyright ?? 2002 John Wiley and Sons, Ltd.",
"publisher": {
"@type": "Organization",
"name": "U.S. Geological Survey"
},
"author": [
{
"@type": "Person",
"name": "Zhan, X.",
"givenName": "X.",
"familyName": "Zhan"
},
{
"@type": "Person",
"name": "Huang, W.",
"givenName": "W.",
"familyName": "Huang"
},
{
"@type": "Person",
"name": "Zheng, Lingyun",
"givenName": "Lingyun",
"familyName": "Zheng"
}
]
},
"OpenAlex": {
"abstract_inverted_index": {
"Abstract": [
0
],
"Accurate": [
1
],
"modelling": [
2,
29,
80,
100
],
"of": [
3,
30,
71,
101,
104,
121,
154,
164
],
"groundwater": [
4,
31,
105
],
"flow": [
5,
124
],
"and": [
6,
77,
88,
112,
118,
125,
137,
167
],
"transport": [
7,
111
],
"with": [
8,
66
],
"sharp": [
9,
64,
131
],
"moving": [
10,
41,
132,
142
],
"fronts": [
11,
65,
133
],
"often": [
12
],
"involves": [
13
],
"high": [
14
],
"computational": [
15
],
"cost,": [
16
],
"when": [
17
],
"a": [
18,
34,
56,
67,
102
],
"fixed/uniform": [
19
],
"mesh": [
20,
37,
42,
51,
75,
86,
143,
165,
169
],
"is": [
21,
52,
96
],
"used.": [
22
],
"In": [
23
],
"this": [
24,
48
],
"paper,": [
25
],
"we": [
26
],
"investigate": [
27
],
"the": [
28,
40,
50,
62,
85,
99,
119,
141,
152,
155,
160
],
"problems": [
32
],
"using": [
33
],
"particular": [
35
],
"adaptive": [
36
],
"method": [
38,
95
],
"called": [
39
],
"partial": [
43,
57,
90
],
"differential": [
44,
58,
91
],
"equation": [
45,
59
],
"approach.": [
46,
144
],
"With": [
47
],
"approach,": [
49
],
"dynamically": [
53
],
"relocated": [
54
],
"through": [
55
],
"to": [
60,
98
],
"capture": [
61
],
"evolving": [
63
],
"relatively": [
68
],
"small": [
69
],
"number": [
70
],
"grid": [
72
],
"points.": [
73
],
"The": [
74,
94
],
"movement": [
76,
87
],
"physical": [
78,
89
],
"system": [
79
],
"are": [
81,
147
],
"realized": [
82
],
"by": [
83,
140
],
"solving": [
84
],
"equations": [
92
],
"alternately.": [
93
],
"applied": [
97
],
"range": [
103
],
"problems,": [
106
],
"including": [
107
],
"advection": [
108
],
"dominated": [
109
],
"chemical": [
110
],
"reaction,": [
113
],
"non\u2010linear": [
114
],
"infiltration": [
115
],
"in": [
116
],
"soil,": [
117
],
"coupling": [
120
],
"density": [
122
],
"dependent": [
123
],
"transport.": [
126
],
"Numerical": [
127
],
"results": [
128
],
"demonstrate": [
129
],
"that": [
130
],
"can": [
134
],
"be": [
135
],
"accurately": [
136
],
"efficiently": [
138
],
"captured": [
139
],
"Also": [
145
],
"addressed": [
146
],
"important": [
148
],
"implementation": [
149
],
"strategies,": [
150
],
"e.g.": [
151
],
"construction": [
153
],
"monitor": [
156
],
"function": [
157
],
"based": [
158
],
"on": [
159
],
"interpolation": [
161
],
"error,": [
162
],
"control": [
163
],
"concentration,": [
166
],
"two\u2010layer": [
168
],
"movement.": [
170
],
"Copyright": [
171
],
"\u00a9": [
172
],
"2002": [
173
],
"John": [
174
],
"Wiley": [
175
],
"&": [
176
],
"Sons,": [
177
],
"Ltd.": [
178
]
},
"apc_list": {
"value": 5050,
"currency": "USD",
"value_usd": 5050,
"provenance": "doaj"
},
"apc_paid": null,
"authorships": [
{
"author_position": "first",
"author": {
"id": "https://openalex.org/A5041682967",
"display_name": "Weizhang Huang",
"orcid": "https://orcid.org/0000-0002-7510-8230"
},
"institutions": [
{
"id": "https://openalex.org/I146416000",
"display_name": "University of Kansas",
"ror": "https://ror.org/001tmjg57",
"country_code": "US",
"type": "education",
"lineage": [
"https://openalex.org/I146416000"
]
}
],
"countries": [
"US"
],
"is_corresponding": false,
"raw_author_name": "Weizhang Huang",
"raw_affiliation_strings": [
"Department of Mathematics, The University of Kansas, Lawrence, KS 66045, U.S.A."
],
"affiliations": [
{
"raw_affiliation_string": "Department of Mathematics, The University of Kansas, Lawrence, KS 66045, U.S.A.",
"institution_ids": [
"https://openalex.org/I146416000"
]
}
]
},
{
"author_position": "middle",
"author": {
"id": "https://openalex.org/A5101845576",
"display_name": "Zheng Li",
"orcid": "https://orcid.org/0000-0002-2047-9704"
},
"institutions": [
{
"id": "https://openalex.org/I146416000",
"display_name": "University of Kansas",
"ror": "https://ror.org/001tmjg57",
"country_code": "US",
"type": "education",
"lineage": [
"https://openalex.org/I146416000"
]
},
{
"id": "https://openalex.org/I1286329397",
"display_name": "United States Geological Survey",
"ror": "https://ror.org/035a68863",
"country_code": "US",
"type": "government",
"lineage": [
"https://openalex.org/I1286329397",
"https://openalex.org/I1335927249"
]
}
],
"countries": [
"US"
],
"is_corresponding": false,
"raw_author_name": "Li Zheng",
"raw_affiliation_strings": [
"Kansas Geological Survey, The University of Kansas, Lawrence, KS 66047, U.S.A."
],
"affiliations": [
{
"raw_affiliation_string": "Kansas Geological Survey, The University of Kansas, Lawrence, KS 66047, U.S.A.",
"institution_ids": [
"https://openalex.org/I146416000",
"https://openalex.org/I1286329397"
]
}
]
},
{
"author_position": "last",
"author": {
"id": "https://openalex.org/A5100817009",
"display_name": "Xiaoyong Zhan",
"orcid": null
},
"institutions": [
{
"id": "https://openalex.org/I1286329397",
"display_name": "United States Geological Survey",
"ror": "https://ror.org/035a68863",
"country_code": "US",
"type": "government",
"lineage": [
"https://openalex.org/I1286329397",
"https://openalex.org/I1335927249"
]
},
{
"id": "https://openalex.org/I146416000",
"display_name": "University of Kansas",
"ror": "https://ror.org/001tmjg57",
"country_code": "US",
"type": "education",
"lineage": [
"https://openalex.org/I146416000"
]
}
],
"countries": [
"US"
],
"is_corresponding": false,
"raw_author_name": "Xiaoyong Zhan",
"raw_affiliation_strings": [
"Kansas Geological Survey, The University of Kansas, Lawrence, KS 66047, U.S.A."
],
"affiliations": [
{
"raw_affiliation_string": "Kansas Geological Survey, The University of Kansas, Lawrence, KS 66047, U.S.A.",
"institution_ids": [
"https://openalex.org/I1286329397",
"https://openalex.org/I146416000"
]
}
]
}
],
"best_oa_location": null,
"biblio": {
"volume": "54",
"issue": "11",
"first_page": "1579",
"last_page": "1603"
},
"citation_normalized_percentile": {
"value": 0.832603,
"is_in_top_1_percent": false,
"is_in_top_10_percent": false
},
"cited_by_api_url": "https://api.openalex.org/works?filter=cites:W2065510569",
"cited_by_count": 28,
"cited_by_percentile_year": {
"min": 88,
"max": 89
},
"concepts": [
{
"id": "https://openalex.org/C93779851",
"wikidata": "https://www.wikidata.org/wiki/Q271977",
"display_name": "Partial differential equation",
"level": 2,
"score": 0.7055887
},
{
"id": "https://openalex.org/C137800194",
"wikidata": "https://www.wikidata.org/wiki/Q11713455",
"display_name": "Interpolation (computer graphics)",
"level": 3,
"score": 0.55813885
},
{
"id": "https://openalex.org/C5072599",
"wikidata": "https://www.wikidata.org/wiki/Q379788",
"display_name": "Advection",
"level": 2,
"score": 0.54671735
},
{
"id": "https://openalex.org/C131053463",
"wikidata": "https://www.wikidata.org/wiki/Q4680751",
"display_name": "Adaptive mesh refinement",
"level": 2,
"score": 0.54194415
},
{
"id": "https://openalex.org/C41008148",
"wikidata": "https://www.wikidata.org/wiki/Q21198",
"display_name": "Computer science",
"level": 0,
"score": 0.5200779
},
{
"id": "https://openalex.org/C181145010",
"wikidata": "https://www.wikidata.org/wiki/Q4418033",
"display_name": "Mesh generation",
"level": 3,
"score": 0.44808167
},
{
"id": "https://openalex.org/C187691185",
"wikidata": "https://www.wikidata.org/wiki/Q2020720",
"display_name": "Grid",
"level": 2,
"score": 0.4478312
},
{
"id": "https://openalex.org/C38349280",
"wikidata": "https://www.wikidata.org/wiki/Q1434290",
"display_name": "Flow (mathematics)",
"level": 2,
"score": 0.4162712
},
{
"id": "https://openalex.org/C126255220",
"wikidata": "https://www.wikidata.org/wiki/Q141495",
"display_name": "Mathematical optimization",
"level": 1,
"score": 0.39875346
},
{
"id": "https://openalex.org/C28826006",
"wikidata": "https://www.wikidata.org/wiki/Q33521",
"display_name": "Applied mathematics",
"level": 1,
"score": 0.38827664
},
{
"id": "https://openalex.org/C11413529",
"wikidata": "https://www.wikidata.org/wiki/Q8366",
"display_name": "Algorithm",
"level": 1,
"score": 0.35857305
},
{
"id": "https://openalex.org/C33923547",
"wikidata": "https://www.wikidata.org/wiki/Q395",
"display_name": "Mathematics",
"level": 0,
"score": 0.33163851
},
{
"id": "https://openalex.org/C459310",
"wikidata": "https://www.wikidata.org/wiki/Q117801",
"display_name": "Computational science",
"level": 1,
"score": 0.27375168
},
{
"id": "https://openalex.org/C135628077",
"wikidata": "https://www.wikidata.org/wiki/Q220184",
"display_name": "Finite element method",
"level": 2,
"score": 0.2329593
},
{
"id": "https://openalex.org/C2524010",
"wikidata": "https://www.wikidata.org/wiki/Q8087",
"display_name": "Geometry",
"level": 1,
"score": 0.20431879
},
{
"id": "https://openalex.org/C134306372",
"wikidata": "https://www.wikidata.org/wiki/Q7754",
"display_name": "Mathematical analysis",
"level": 1,
"score": 0.20152855
},
{
"id": "https://openalex.org/C121332964",
"wikidata": "https://www.wikidata.org/wiki/Q413",
"display_name": "Physics",
"level": 0,
"score": 0.14612389
},
{
"id": "https://openalex.org/C154945302",
"wikidata": "https://www.wikidata.org/wiki/Q11660",
"display_name": "Artificial intelligence",
"level": 1,
"score": 0.084792554
},
{
"id": "https://openalex.org/C104114177",
"wikidata": "https://www.wikidata.org/wiki/Q79782",
"display_name": "Motion (physics)",
"level": 2,
"score": 0.0
},
{
"id": "https://openalex.org/C97355855",
"wikidata": "https://www.wikidata.org/wiki/Q11473",
"display_name": "Thermodynamics",
"level": 1,
"score": 0.0
}
],
"corresponding_author_ids": [],
"corresponding_institution_ids": [],
"countries_distinct_count": 1,
"counts_by_year": [
{
"year": 2024,
"cited_by_count": 2
},
{
"year": 2023,
"cited_by_count": 1
},
{
"year": 2020,
"cited_by_count": 1
},
{
"year": 2019,
"cited_by_count": 1
},
{
"year": 2017,
"cited_by_count": 1
},
{
"year": 2015,
"cited_by_count": 1
},
{
"year": 2014,
"cited_by_count": 2
},
{
"year": 2012,
"cited_by_count": 1
}
],
"created_date": "2016-06-24",
"datasets": [],
"display_name": "Adaptive moving mesh methods for simulating one\u2010dimensional groundwater problems with sharp moving fronts",
"doi": "https://doi.org/10.1002/nme.482",
"fulltext_origin": "ngrams",
"fwci": 3.003,
"grants": [],
"has_fulltext": true,
"id": "https://openalex.org/W2065510569",
"ids": {
"openalex": "https://openalex.org/W2065510569",
"doi": "https://doi.org/10.1002/nme.482",
"mag": "2065510569"
},
"indexed_in": [
"crossref"
],
"institutions_distinct_count": 2,
"is_paratext": false,
"is_retracted": false,
"keywords": [
{
"id": "https://openalex.org/keywords/adaptive-mesh-refinement",
"display_name": "Adaptive Mesh Refinement",
"score": 0.567181
},
{
"id": "https://openalex.org/keywords/interpolation",
"display_name": "Interpolation (computer graphics)",
"score": 0.55813885
},
{
"id": "https://openalex.org/keywords/transport-modeling",
"display_name": "Transport Modeling",
"score": 0.534533
},
{
"id": "https://openalex.org/keywords/surface-water-interactions",
"display_name": "Surface Water Interactions",
"score": 0.507086
},
{
"id": "https://openalex.org/keywords/turbulence-modeling",
"display_name": "Turbulence Modeling",
"score": 0.502305
},
{
"id": "https://openalex.org/keywords/stabilized-methods",
"display_name": "Stabilized Methods",
"score": 0.501283
}
],
"language": "en",
"locations": [
{
"is_oa": false,
"landing_page_url": "https://doi.org/10.1002/nme.482",
"pdf_url": null,
"source": {
"id": "https://openalex.org/S165651092",
"display_name": "International Journal for Numerical Methods in Engineering",
"issn_l": "0029-5981",
"issn": [
"0029-5981",
"1097-0207"
],
"is_oa": false,
"is_in_doaj": false,
"is_core": true,
"host_organization": "https://openalex.org/P4310320595",
"host_organization_name": "Wiley",
"host_organization_lineage": [
"https://openalex.org/P4310320595"
],
"host_organization_lineage_names": [
"Wiley"
],
"type": "journal"
},
"license": null,
"license_id": null,
"version": null,
"is_accepted": false,
"is_published": false
}
],
"locations_count": 1,
"mesh": [],
"ngrams_url": "https://api.openalex.org/works/W2065510569/ngrams",
"open_access": {
"is_oa": false,
"oa_status": "closed",
"oa_url": null,
"any_repository_has_fulltext": false
},
"primary_location": {
"is_oa": false,
"landing_page_url": "https://doi.org/10.1002/nme.482",
"pdf_url": null,
"source": {
"id": "https://openalex.org/S165651092",
"display_name": "International Journal for Numerical Methods in Engineering",
"issn_l": "0029-5981",
"issn": [
"0029-5981",
"1097-0207"
],
"is_oa": false,
"is_in_doaj": false,
"is_core": true,
"host_organization": "https://openalex.org/P4310320595",
"host_organization_name": "Wiley",
"host_organization_lineage": [
"https://openalex.org/P4310320595"
],
"host_organization_lineage_names": [
"Wiley"
],
"type": "journal"
},
"license": null,
"license_id": null,
"version": null,
"is_accepted": false,
"is_published": false
},
"primary_topic": {
"id": "https://openalex.org/T10894",
"display_name": "Groundwater Flow and Transport Modeling",
"score": 0.9968,
"subfield": {
"id": "https://openalex.org/subfields/2305",
"display_name": "Environmental Engineering"
},
"field": {
"id": "https://openalex.org/fields/23",
"display_name": "Environmental Science"
},
"domain": {
"id": "https://openalex.org/domains/3",
"display_name": "Physical Sciences"
}
},
"publication_date": "2002-05-28",
"publication_year": 2002,
"referenced_works": [
"https://openalex.org/W1566833591",
"https://openalex.org/W1966771317",
"https://openalex.org/W2013633847",
"https://openalex.org/W2023546610",
"https://openalex.org/W2025733307",
"https://openalex.org/W2029974143",
"https://openalex.org/W2054473721",
"https://openalex.org/W2063515401",
"https://openalex.org/W2066410747",
"https://openalex.org/W2066530851",
"https://openalex.org/W2075598188",
"https://openalex.org/W2086370362",
"https://openalex.org/W2088079156",
"https://openalex.org/W2127211583",
"https://openalex.org/W2134760130",
"https://openalex.org/W2160641682",
"https://openalex.org/W2160716572",
"https://openalex.org/W4285719527"
],
"referenced_works_count": 18,
"related_works": [
"https://openalex.org/W569905946",
"https://openalex.org/W2790697625",
"https://openalex.org/W2155723332",
"https://openalex.org/W2147278394",
"https://openalex.org/W2112756069",
"https://openalex.org/W2074475668",
"https://openalex.org/W2026705809",
"https://openalex.org/W1995684874",
"https://openalex.org/W1972564888",
"https://openalex.org/W1555828953"
],
"sustainable_development_goals": [
{
"display_name": "Clean water and sanitation",
"id": "https://metadata.un.org/sdg/6",
"score": 0.78
}
],
"title": "Adaptive moving mesh methods for simulating one\u2010dimensional groundwater problems with sharp moving fronts",
"topics": [
{
"id": "https://openalex.org/T10894",
"display_name": "Groundwater Flow and Transport Modeling",
"score": 0.9968,
"subfield": {
"id": "https://openalex.org/subfields/2305",
"display_name": "Environmental Engineering"
},
"field": {
"id": "https://openalex.org/fields/23",
"display_name": "Environmental Science"
},
"domain": {
"id": "https://openalex.org/domains/3",
"display_name": "Physical Sciences"
}
},
{
"id": "https://openalex.org/T10173",
"display_name": "Computational Fluid Dynamics",
"score": 0.9959,
"subfield": {
"id": "https://openalex.org/subfields/2206",
"display_name": "Computational Mechanics"
},
"field": {
"id": "https://openalex.org/fields/22",
"display_name": "Engineering"
},
"domain": {
"id": "https://openalex.org/domains/3",
"display_name": "Physical Sciences"
}
},
{
"id": "https://openalex.org/T10339",
"display_name": "Finite Element Methods for Fluid-Structure Interaction",
"score": 0.9901,
"subfield": {
"id": "https://openalex.org/subfields/2206",
"display_name": "Computational Mechanics"
},
"field": {
"id": "https://openalex.org/fields/22",
"display_name": "Engineering"
},
"domain": {
"id": "https://openalex.org/domains/3",
"display_name": "Physical Sciences"
}
}
],
"type": "article",
"type_crossref": "journal-article",
"updated_date": "2024-08-13T12:51:45.517668",
"versions": []
}
}