{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,8]],"date-time":"2026-10-08T02:02:24Z","timestamp":1791424944186,"version":"4.3.3"},"reference-count":46,"publisher":"American Physical Society (APS)","issue":"1","license":[{"start":{"date-parts":[[2026,7,16]],"date-time":"2026-07-16T00:00:00Z","timestamp":1784160000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000288","name":"Royal Society","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000288","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. E"],"accepted":{"date-parts":[[2026,6,22]]},"abstract":"<jats:p>\n                    We present a realizable entropic lattice Boltzmann method (RELBM) for scalar transport at high P\u00e9clet (Pe) number. The method combines an ADE-tailored entropic relaxation with a nonorthogonality correction to ghost-mode damping and a strictly conservative population-space realizability limiter activated only when required to enforce positivity. Comprehensive benchmarks including deformational mixing, Graetz transport, and Taylor dispersion up to\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <a:mrow>\n                        <a:mi>Pe<\/a:mi>\n                        <a:mo>=<\/a:mo>\n                        <a:mn>2<\/a:mn>\n                        <a:mo>\u00d7<\/a:mo>\n                        <a:msup>\n                          <a:mn>10<\/a:mn>\n                          <a:mn>5<\/a:mn>\n                        <\/a:msup>\n                      <\/a:mrow>\n                    <\/a:math>\n                    , demonstrating suppression of spurious oscillations and quantitative agreement with theory. Furthermore, pore-scale simulations in a homogeneous geometry up to\n                    <b:math xmlns:b=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <b:mrow>\n                        <b:mi>Pe<\/b:mi>\n                        <b:mo>=<\/b:mo>\n                        <b:msup>\n                          <b:mn>10<\/b:mn>\n                          <b:mn>4<\/b:mn>\n                        <\/b:msup>\n                      <\/b:mrow>\n                    <\/b:math>\n                    resolve scalar-dissipation dynamics consistent with intermediate lamellar and late-time Fickian scalings. These results establish the method's robustness and physical fidelity for multiscale advection-diffusion dynamics across diverse systems.\n                  <\/jats:p>","DOI":"10.1103\/5nx7-bykh","type":"journal-article","created":{"date-parts":[[2026,6,22]],"date-time":"2026-06-22T17:19:18Z","timestamp":1782148758000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Realizable entropic lattice Boltzmann method for high-P\u00e9clet scalar transport"],"prefix":"10.1103","volume":"114","author":[{"given":"Jingsen","family":"Feng","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/03yghzc09","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Exeter"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yang","family":"Liu","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/056yktd04","id-type":"ROR","asserted-by":"publisher"}],"name":"Institute of 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All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2026","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92026 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"L013301"}}