Lattice-Boltzmann Simulations of the Convection-Diffusion Equation with Different Reactive Boundary Conditions Article Swipe
Rui Du
,
Jincheng Wang
,
Dongke Sun
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.3390/math8010013
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.3390/math8010013
We have tested the accuracy and stability of lattice-Boltzmann (LB) simulations of the convection-diffusion equation in a two-dimensional channel flow with reactive-flux boundary conditions. We compared several different implementations of a zero-concentration boundary condition using the Two-Relaxation-Time (TRT) LB model. We found that simulations using an interpolation of the equilibrium distribution were more stable than those based on Multi-Reflection (MR) boundary conditions. We have extended the interpolation method to include mixed boundary conditions, and tested the accuracy and stability of the simulations over a range of Damköhler and Péclet numbers.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/math8010013
- https://www.mdpi.com/2227-7390/8/1/13/pdf?version=1577179377
- OA Status
- gold
- Cited By
- 6
- References
- 33
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2995984494
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- OpenAlex ID
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https://openalex.org/W2995984494Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.3390/math8010013Digital Object Identifier
- Title
-
Lattice-Boltzmann Simulations of the Convection-Diffusion Equation with Different Reactive Boundary ConditionsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2019Year of publication
- Publication date
-
2019-12-19Full publication date if available
- Authors
-
Rui Du, Jincheng Wang, Dongke SunList of authors in order
- Landing page
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https://doi.org/10.3390/math8010013Publisher landing page
- PDF URL
-
https://www.mdpi.com/2227-7390/8/1/13/pdf?version=1577179377Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
-
https://www.mdpi.com/2227-7390/8/1/13/pdf?version=1577179377Direct OA link when available
- Concepts
-
Lattice Boltzmann methods, Boundary value problem, Interpolation (computer graphics), Convection–diffusion equation, Convection, Mechanics, Boltzmann equation, Boundary (topology), Physics, Linear interpolation, Mathematics, Mathematical analysis, Thermodynamics, Classical mechanics, Motion (physics), PolynomialTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
6Total citation count in OpenAlex
- Citations by year (recent)
-
2022: 2, 2021: 4Per-year citation counts (last 5 years)
- References (count)
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33Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W2117242079, https://openalex.org/W2964333158, https://openalex.org/W6761540273, https://openalex.org/W2977431154, https://openalex.org/W2031586865, https://openalex.org/W2085317634, https://openalex.org/W6785068045, https://openalex.org/W2061892033, https://openalex.org/W2751591019, https://openalex.org/W2908818412, https://openalex.org/W2896576826, https://openalex.org/W2020395610, https://openalex.org/W6948043644, https://openalex.org/W6670676589, https://openalex.org/W1989528693, https://openalex.org/W2095470085, https://openalex.org/W2019421148, https://openalex.org/W2079762823, https://openalex.org/W2169625598, https://openalex.org/W2019104054, https://openalex.org/W2069455332, https://openalex.org/W2012251841, https://openalex.org/W2038327995, https://openalex.org/W2075325008, https://openalex.org/W2312263449, https://openalex.org/W2062981202, https://openalex.org/W2312871694, https://openalex.org/W1998093377, https://openalex.org/W2081558924, https://openalex.org/W3105011569, https://openalex.org/W2119950184, https://openalex.org/W3100147603, https://openalex.org/W2941705112 |
| referenced_works_count | 33 |
| abstract_inverted_index.a | 16, 30, 83 |
| abstract_inverted_index.LB | 38 |
| abstract_inverted_index.We | 0, 24, 40, 62 |
| abstract_inverted_index.an | 45 |
| abstract_inverted_index.in | 15 |
| abstract_inverted_index.of | 7, 11, 29, 47, 79, 85 |
| abstract_inverted_index.on | 57 |
| abstract_inverted_index.to | 68 |
| abstract_inverted_index.and | 5, 73, 77, 87 |
| abstract_inverted_index.the | 3, 12, 35, 48, 65, 75, 80 |
| abstract_inverted_index.(LB) | 9 |
| abstract_inverted_index.(MR) | 59 |
| abstract_inverted_index.flow | 19 |
| abstract_inverted_index.have | 1, 63 |
| abstract_inverted_index.more | 52 |
| abstract_inverted_index.over | 82 |
| abstract_inverted_index.than | 54 |
| abstract_inverted_index.that | 42 |
| abstract_inverted_index.were | 51 |
| abstract_inverted_index.with | 20 |
| abstract_inverted_index.(TRT) | 37 |
| abstract_inverted_index.based | 56 |
| abstract_inverted_index.found | 41 |
| abstract_inverted_index.mixed | 70 |
| abstract_inverted_index.range | 84 |
| abstract_inverted_index.those | 55 |
| abstract_inverted_index.using | 34, 44 |
| abstract_inverted_index.method | 67 |
| abstract_inverted_index.model. | 39 |
| abstract_inverted_index.stable | 53 |
| abstract_inverted_index.tested | 2, 74 |
| abstract_inverted_index.Péclet | 88 |
| abstract_inverted_index.channel | 18 |
| abstract_inverted_index.include | 69 |
| abstract_inverted_index.several | 26 |
| abstract_inverted_index.accuracy | 4, 76 |
| abstract_inverted_index.boundary | 22, 32, 60, 71 |
| abstract_inverted_index.compared | 25 |
| abstract_inverted_index.equation | 14 |
| abstract_inverted_index.extended | 64 |
| abstract_inverted_index.numbers. | 89 |
| abstract_inverted_index.condition | 33 |
| abstract_inverted_index.different | 27 |
| abstract_inverted_index.stability | 6, 78 |
| abstract_inverted_index.Damköhler | 86 |
| abstract_inverted_index.conditions, | 72 |
| abstract_inverted_index.conditions. | 23, 61 |
| abstract_inverted_index.equilibrium | 49 |
| abstract_inverted_index.simulations | 10, 43, 81 |
| abstract_inverted_index.distribution | 50 |
| abstract_inverted_index.interpolation | 46, 66 |
| abstract_inverted_index.reactive-flux | 21 |
| abstract_inverted_index.implementations | 28 |
| abstract_inverted_index.two-dimensional | 17 |
| abstract_inverted_index.Multi-Reflection | 58 |
| abstract_inverted_index.lattice-Boltzmann | 8 |
| abstract_inverted_index.zero-concentration | 31 |
| abstract_inverted_index.Two-Relaxation-Time | 36 |
| abstract_inverted_index.convection-diffusion | 13 |
| cited_by_percentile_year.max | 97 |
| cited_by_percentile_year.min | 94 |
| corresponding_author_ids | https://openalex.org/A5103274896 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 3 |
| corresponding_institution_ids | https://openalex.org/I76569877 |
| citation_normalized_percentile.value | 0.77744615 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |