{"corpus_id":35422227,"paper_sha":"6c5271f085631de263f38de4f521d4f3b7f57b1c","doi":"10.1103/PHYSREVE.65.046308","arxiv_id":null,"pmid":12006014,"pmcid":null,"mag_id":2077508082,"dblp_id":null,"acl_id":null,"title":"Discrete lattice effects on the forcing term in the lattice Boltzmann method.","year":2002,"publication_date":"2002-04-10","venue":"Physical review. E, Statistical, nonlinear, and soft matter physics","journal":{"name":"Physical review. E, Statistical, nonlinear, and soft matter physics","pages":"\n          046308\n        ","volume":"65 4 Pt 2B"},"journal_issn":null,"journal_title":null,"publication_types":["JournalArticle"],"pubmed_pub_types":["Journal Article"],"s2_fields_of_study":["Mathematics","Physics","Medicine"],"reference_count":0,"citation_count":2058,"influential_citation_count":88,"is_open_access":false,"arxiv_categories":null,"arxiv_license":null,"arxiv_journal_ref":null,"mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":5,"s2_open_access_pdf_url":null,"s2_open_access_landing_url":null,"s2_open_access_license":null,"s2_open_access_status":null,"pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"We show that discrete lattice effects must be considered in the introduction of a force into the lattice Boltzmann equation. A representation of the forcing term is then proposed. With the representation, the Navier-Stokes equation is derived from the lattice Boltzmann equation through the Chapman-Enskog expansion. Several other existing force treatments are also examined.","claims":[{"public_id":"cl_e6677592ab01d86ad310a4137e5fe73c","status":"active","text":"A representation of the forcing term is proposed for the lattice Boltzmann equation.","confidence":0.95,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_e6677592ab01d86ad310a4137e5fe73c"},{"public_id":"cl_8cc136b063ea5c5df3073bf13bdfb9cc","status":"active","text":"Discrete lattice effects must be considered when introducing a force into the lattice Boltzmann equation.","confidence":0.96,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_8cc136b063ea5c5df3073bf13bdfb9cc"},{"public_id":"cl_9fef8560f892a91a0c885a96f0d1e230","status":"active","text":"Several 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