On the Problem of Boundary Conditions in the Multidimensional Nodal Method of Characteristics View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2021-05

AUTHORS

V. S. Surov

ABSTRACT

The setting of boundary conditions on curvilinear walls in application to the multidimensional nodal method of characteristics is discussed, which is based on splitting the initial system of equations into a number of one-dimensional subsystems along the coordinate directions. For the boundary points located on curvilinear impermeable surfaces, a calculation method based on the procedure of fictitious nodes is suggested, with the use of which a number of test problems with self-similar solutions have been calculated. More... »

PAGES

695-701

References to SciGraph publications

  • 2020-07. On Calculation of Flows of Heterogeneous Media in a Body-Force Field in JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
  • 2017-07. Boundary Conditions for Numerical Calculation of Gas Exchange in Piston Engines in JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
  • 2010-05-13. On a variant of the method of characteristics for calculating one-velocity flows of a multicomponent mixture in JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
  • 2019-09. On Hyperbolization of a Number of Continuum Mechanics Models in JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
  • 2006-09. Shock adiabat of a one-velocity heterogeneous medium in JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
  • 2010-05-13. On a method of approximate solution of the riemann problem for a one-velocity flow of a multicomponent mixture in JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
  • 2007-11. Certain self-similar problems of flow of a one-velocity heterogeneous medium in JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10891-021-02346-1

    DOI

    http://dx.doi.org/10.1007/s10891-021-02346-1

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1138774190


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/03", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Chemical Sciences", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0306", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Physical Chemistry (incl. Structural)", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "South Ural State University (National Research University), 76 Lenin Ave., 454080, Chelyabinsk, Russia", 
              "id": "http://www.grid.ac/institutes/grid.440724.1", 
              "name": [
                "South Ural State University (National Research University), 76 Lenin Ave., 454080, Chelyabinsk, Russia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Surov", 
            "givenName": "V. S.", 
            "id": "sg:person.010640402045.47", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010640402045.47"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/s10891-010-0354-y", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043881192", 
              "https://doi.org/10.1007/s10891-010-0354-y"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10891-017-1644-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1091210300", 
              "https://doi.org/10.1007/s10891-017-1644-4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10891-020-02190-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1130335939", 
              "https://doi.org/10.1007/s10891-020-02190-9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10891-019-02046-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1121519615", 
              "https://doi.org/10.1007/s10891-019-02046-x"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10891-006-0179-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031427748", 
              "https://doi.org/10.1007/s10891-006-0179-x"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10891-007-0160-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019268934", 
              "https://doi.org/10.1007/s10891-007-0160-3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10891-010-0353-z", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006571831", 
              "https://doi.org/10.1007/s10891-010-0353-z"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2021-05", 
        "datePublishedReg": "2021-05-01", 
        "description": "The setting of boundary conditions on curvilinear walls in application to the multidimensional nodal method of characteristics is discussed, which is based on splitting the initial system of equations into a number of one-dimensional subsystems along the coordinate directions. For the boundary points located on curvilinear impermeable surfaces, a calculation method based on the procedure of fictitious nodes is suggested, with the use of which a number of test problems with self-similar solutions have been calculated.", 
        "genre": "article", 
        "id": "sg:pub.10.1007/s10891-021-02346-1", 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1313809", 
            "issn": [
              "0029-8131", 
              "2186-3113"
            ], 
            "name": "Journal of Engineering Physics and Thermophysics", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "3", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "94"
          }
        ], 
        "keywords": [
          "splitting", 
          "surface", 
          "solution", 
          "method", 
          "conditions", 
          "applications", 
          "initial system", 
          "impermeable surfaces", 
          "characteristics", 
          "calculation method", 
          "system", 
          "procedure", 
          "use", 
          "number", 
          "one-dimensional subsystems", 
          "boundary conditions", 
          "point", 
          "wall", 
          "nodal method", 
          "equations", 
          "direction", 
          "curvilinear walls", 
          "fictitious nodes", 
          "self-similar solutions", 
          "coordinate directions", 
          "problem", 
          "subsystems", 
          "boundary points", 
          "nodes", 
          "test problems", 
          "setting"
        ], 
        "name": "On the Problem of Boundary Conditions in the Multidimensional Nodal Method of Characteristics", 
        "pagination": "695-701", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1138774190"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s10891-021-02346-1"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s10891-021-02346-1", 
          "https://app.dimensions.ai/details/publication/pub.1138774190"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2022-08-04T17:12", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20220804/entities/gbq_results/article/article_917.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1007/s10891-021-02346-1"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s10891-021-02346-1'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s10891-021-02346-1'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10891-021-02346-1'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10891-021-02346-1'


     

    This table displays all metadata directly associated to this object as RDF triples.

    116 TRIPLES      21 PREDICATES      63 URIs      48 LITERALS      6 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s10891-021-02346-1 schema:about anzsrc-for:03
    2 anzsrc-for:0306
    3 schema:author N3c2baa36eeb94cab9086c7858dc5be56
    4 schema:citation sg:pub.10.1007/s10891-006-0179-x
    5 sg:pub.10.1007/s10891-007-0160-3
    6 sg:pub.10.1007/s10891-010-0353-z
    7 sg:pub.10.1007/s10891-010-0354-y
    8 sg:pub.10.1007/s10891-017-1644-4
    9 sg:pub.10.1007/s10891-019-02046-x
    10 sg:pub.10.1007/s10891-020-02190-9
    11 schema:datePublished 2021-05
    12 schema:datePublishedReg 2021-05-01
    13 schema:description The setting of boundary conditions on curvilinear walls in application to the multidimensional nodal method of characteristics is discussed, which is based on splitting the initial system of equations into a number of one-dimensional subsystems along the coordinate directions. For the boundary points located on curvilinear impermeable surfaces, a calculation method based on the procedure of fictitious nodes is suggested, with the use of which a number of test problems with self-similar solutions have been calculated.
    14 schema:genre article
    15 schema:isAccessibleForFree false
    16 schema:isPartOf N421aafd5ff564187aeae6c6b9653f5ba
    17 Nae459c0eda1944348022312fbed93578
    18 sg:journal.1313809
    19 schema:keywords applications
    20 boundary conditions
    21 boundary points
    22 calculation method
    23 characteristics
    24 conditions
    25 coordinate directions
    26 curvilinear walls
    27 direction
    28 equations
    29 fictitious nodes
    30 impermeable surfaces
    31 initial system
    32 method
    33 nodal method
    34 nodes
    35 number
    36 one-dimensional subsystems
    37 point
    38 problem
    39 procedure
    40 self-similar solutions
    41 setting
    42 solution
    43 splitting
    44 subsystems
    45 surface
    46 system
    47 test problems
    48 use
    49 wall
    50 schema:name On the Problem of Boundary Conditions in the Multidimensional Nodal Method of Characteristics
    51 schema:pagination 695-701
    52 schema:productId N6f10c0e12cbc4fa791d8f556e00e336c
    53 N91131f6bc8724822a7b2502a0dd4184c
    54 schema:sameAs https://app.dimensions.ai/details/publication/pub.1138774190
    55 https://doi.org/10.1007/s10891-021-02346-1
    56 schema:sdDatePublished 2022-08-04T17:12
    57 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    58 schema:sdPublisher N50b9ffbec25c490a862474e9ea118cd9
    59 schema:url https://doi.org/10.1007/s10891-021-02346-1
    60 sgo:license sg:explorer/license/
    61 sgo:sdDataset articles
    62 rdf:type schema:ScholarlyArticle
    63 N3c2baa36eeb94cab9086c7858dc5be56 rdf:first sg:person.010640402045.47
    64 rdf:rest rdf:nil
    65 N421aafd5ff564187aeae6c6b9653f5ba schema:issueNumber 3
    66 rdf:type schema:PublicationIssue
    67 N50b9ffbec25c490a862474e9ea118cd9 schema:name Springer Nature - SN SciGraph project
    68 rdf:type schema:Organization
    69 N6f10c0e12cbc4fa791d8f556e00e336c schema:name doi
    70 schema:value 10.1007/s10891-021-02346-1
    71 rdf:type schema:PropertyValue
    72 N91131f6bc8724822a7b2502a0dd4184c schema:name dimensions_id
    73 schema:value pub.1138774190
    74 rdf:type schema:PropertyValue
    75 Nae459c0eda1944348022312fbed93578 schema:volumeNumber 94
    76 rdf:type schema:PublicationVolume
    77 anzsrc-for:03 schema:inDefinedTermSet anzsrc-for:
    78 schema:name Chemical Sciences
    79 rdf:type schema:DefinedTerm
    80 anzsrc-for:0306 schema:inDefinedTermSet anzsrc-for:
    81 schema:name Physical Chemistry (incl. Structural)
    82 rdf:type schema:DefinedTerm
    83 sg:journal.1313809 schema:issn 0029-8131
    84 2186-3113
    85 schema:name Journal of Engineering Physics and Thermophysics
    86 schema:publisher Springer Nature
    87 rdf:type schema:Periodical
    88 sg:person.010640402045.47 schema:affiliation grid-institutes:grid.440724.1
    89 schema:familyName Surov
    90 schema:givenName V. S.
    91 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010640402045.47
    92 rdf:type schema:Person
    93 sg:pub.10.1007/s10891-006-0179-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1031427748
    94 https://doi.org/10.1007/s10891-006-0179-x
    95 rdf:type schema:CreativeWork
    96 sg:pub.10.1007/s10891-007-0160-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019268934
    97 https://doi.org/10.1007/s10891-007-0160-3
    98 rdf:type schema:CreativeWork
    99 sg:pub.10.1007/s10891-010-0353-z schema:sameAs https://app.dimensions.ai/details/publication/pub.1006571831
    100 https://doi.org/10.1007/s10891-010-0353-z
    101 rdf:type schema:CreativeWork
    102 sg:pub.10.1007/s10891-010-0354-y schema:sameAs https://app.dimensions.ai/details/publication/pub.1043881192
    103 https://doi.org/10.1007/s10891-010-0354-y
    104 rdf:type schema:CreativeWork
    105 sg:pub.10.1007/s10891-017-1644-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1091210300
    106 https://doi.org/10.1007/s10891-017-1644-4
    107 rdf:type schema:CreativeWork
    108 sg:pub.10.1007/s10891-019-02046-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1121519615
    109 https://doi.org/10.1007/s10891-019-02046-x
    110 rdf:type schema:CreativeWork
    111 sg:pub.10.1007/s10891-020-02190-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1130335939
    112 https://doi.org/10.1007/s10891-020-02190-9
    113 rdf:type schema:CreativeWork
    114 grid-institutes:grid.440724.1 schema:alternateName South Ural State University (National Research University), 76 Lenin Ave., 454080, Chelyabinsk, Russia
    115 schema:name South Ural State University (National Research University), 76 Lenin Ave., 454080, Chelyabinsk, Russia
    116 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...