FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2790006959> ?p ?o ?g. }

• W2790006959 abstract "In this study, an alternative second-order boundary scheme is proposed under the framework of the convection-diffusion lattice Boltzmann (LB) method for both straight and curved geometries. With the proposed scheme, boundary implementations are developed for the Dirichlet, Neumann and linear Robin conditions in a consistent way. The Chapman-Enskog analysis and the Hermite polynomial expansion technique are first applied to derive the explicit expression for the general distribution function with second-order accuracy. Then, the macroscopic variables involved in the expression for the distribution function is determined by the prescribed macroscopic constraints and the known distribution functions after streaming [see the paragraph after Eq. (29) for the discussions of the streaming step in LB method]. After that, the unknown distribution functions are obtained from the derived macroscopic information at the boundary nodes. For straight boundaries, boundary nodes are directly placed at the physical boundary surface, and the present scheme is applied directly. When extending the present scheme to curved geometries, a local curvilinear coordinate system and first-order Taylor expansion are introduced to relate the macroscopic variables at the boundary nodes to the physical constraints at the curved boundary surface. In essence, the unknown distribution functions at the boundary node are derived from the known distribution functions at the same node in accordance with the macroscopic boundary conditions at the surface. Therefore, the advantages of the present boundary implementations are (i) the locality, i.e., no information from neighboring fluid nodes is required; (ii) the consistency, i.e., the physical boundary constraints are directly applied when determining the macroscopic variables at the boundary nodes, thus the three kinds of conditions are realized in a consistent way. It should be noted that the present focus is on two-dimensional cases, and theoretical derivations as well as the numerical validations are performed in the framework of the two-dimensional five-velocity lattice model." @default.
• W2790006959 created "2018-03-29" @default.
• W2790006959 creator A5022791316 @default.
• W2790006959 creator A5029758740 @default.
• W2790006959 creator A5036779666 @default.
• W2790006959 creator A5060564212 @default.
• W2790006959 date "2018-02-08" @default.
• W2790006959 modified "2023-10-12" @default.
• W2790006959 title "Consistent second-order boundary implementations for convection-diffusion lattice Boltzmann method" @default.
• W2790006959 cites W1843236936 @default.
• W2790006959 cites W1963678773 @default.
• W2790006959 cites W1978300980 @default.
• W2790006959 cites W1978996173 @default.
• W2790006959 cites W1983130239 @default.
• W2790006959 cites W1983642657 @default.
• W2790006959 cites W1990296993 @default.
• W2790006959 cites W1995432234 @default.
• W2790006959 cites W2003402426 @default.
• W2790006959 cites W2010481604 @default.
• W2790006959 cites W2012075158 @default.
• W2790006959 cites W2013976274 @default.
• W2790006959 cites W2014413618 @default.
• W2790006959 cites W2019104054 @default.
• W2790006959 cites W2019416919 @default.
• W2790006959 cites W2019421148 @default.
• W2790006959 cites W2019621748 @default.
• W2790006959 cites W2024527505 @default.
• W2790006959 cites W2026703439 @default.
• W2790006959 cites W2027009825 @default.
• W2790006959 cites W2028477351 @default.
• W2790006959 cites W2037606505 @default.
• W2790006959 cites W2041039341 @default.
• W2790006959 cites W2042497845 @default.
• W2790006959 cites W2058446543 @default.
• W2790006959 cites W2062900651 @default.
• W2790006959 cites W2066060292 @default.
• W2790006959 cites W2069084258 @default.
• W2790006959 cites W2069455332 @default.
• W2790006959 cites W2075087565 @default.
• W2790006959 cites W2075325008 @default.
• W2790006959 cites W2075390603 @default.
• W2790006959 cites W2081982208 @default.
• W2790006959 cites W2083166418 @default.
• W2790006959 cites W2084325944 @default.
• W2790006959 cites W2087497493 @default.
• W2790006959 cites W2088205371 @default.
• W2790006959 cites W2116969823 @default.
• W2790006959 cites W2119950184 @default.
• W2790006959 cites W2129968362 @default.
• W2790006959 cites W2131947874 @default.
• W2790006959 cites W2137615609 @default.
• W2790006959 cites W2150432867 @default.
• W2790006959 cites W2161560170 @default.
• W2790006959 cites W2164642898 @default.
• W2790006959 cites W2170400704 @default.
• W2790006959 cites W2170455599 @default.
• W2790006959 cites W2180095617 @default.
• W2790006959 cites W2234314083 @default.
• W2790006959 cites W2238528406 @default.
• W2790006959 cites W2284798546 @default.
• W2790006959 cites W2312263449 @default.
• W2790006959 cites W2312352777 @default.
• W2790006959 cites W2312670153 @default.
• W2790006959 cites W2317097554 @default.
• W2790006959 cites W2324056116 @default.
• W2790006959 cites W2326311784 @default.
• W2790006959 cites W2330536012 @default.
• W2790006959 cites W2331726766 @default.
• W2790006959 cites W2335242657 @default.
• W2790006959 cites W2343784922 @default.
• W2790006959 cites W2346910914 @default.
• W2790006959 cites W2411948770 @default.
• W2790006959 cites W2420722221 @default.
• W2790006959 cites W2471098898 @default.
• W2790006959 cites W2480587650 @default.
• W2790006959 cites W2480862060 @default.
• W2790006959 cites W2511063201 @default.
• W2790006959 cites W2516849796 @default.
• W2790006959 cites W2552707351 @default.
• W2790006959 cites W2560497229 @default.
• W2790006959 cites W2560580772 @default.
• W2790006959 cites W2564885271 @default.
• W2790006959 cites W3106170021 @default.
• W2790006959 cites W332575100 @default.
• W2790006959 cites W980672698 @default.
• W2790006959 doi "https://doi.org/10.1103/physreve.97.023302" @default.
• W2790006959 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/29548227" @default.
• W2790006959 hasPublicationYear "2018" @default.
• W2790006959 type Work @default.
• W2790006959 sameAs 2790006959 @default.
• W2790006959 citedByCount "20" @default.
• W2790006959 countsByYear W27900069592018 @default.
• W2790006959 countsByYear W27900069592019 @default.
• W2790006959 countsByYear W27900069592020 @default.
• W2790006959 countsByYear W27900069592021 @default.
• W2790006959 countsByYear W27900069592022 @default.
• W2790006959 countsByYear W27900069592023 @default.
• W2790006959 crossrefType "journal-article" @default.
• W2790006959 hasAuthorship W2790006959A5022791316 @default.
• W2790006959 hasAuthorship W2790006959A5029758740 @default.

• next