{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,6]],"date-time":"2025-12-06T17:03:20Z","timestamp":1765040600174,"version":"build-2065373602"},"reference-count":41,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2015,10,28]],"date-time":"2015-10-28T00:00:00Z","timestamp":1445990400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National \u201cTwelfth Five-Year\u201d Science and Technology Support Plan","award":["2014BAD08B04"],"award-info":[{"award-number":["2014BAD08B04"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, an improved bounce-back boundary treatment for fluid systems in the lattice Boltzmann method [Yin, X.; Zhang J. J. Comput. Phys. 2012, 231, 4295\u20134303] is extended to handle the electrokinetic flows with complex boundary shapes and conditions. Several numerical simulations are performed to validate the electric boundary treatment. Simulations are presented to demonstrate the accuracy and capability of this method in dealing with complex surface potential situations, and simulated results are compared with analytical predictions with excellent agreement. This method could be useful for electrokinetic simulations with complex boundaries, and can also be readily extended to other phenomena and processes.<\/jats:p>","DOI":"10.3390\/e17117406","type":"journal-article","created":{"date-parts":[[2015,10,28]],"date-time":"2015-10-28T13:43:01Z","timestamp":1446039781000},"page":"7406-7419","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Extension of the Improved Bounce-Back Scheme for Electrokinetic Flow in the Lattice Boltzmann Method"],"prefix":"10.3390","volume":"17","author":[{"given":"Qing","family":"Chen","sequence":"first","affiliation":[{"name":"College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China"}]},{"given":"Hongping","family":"Zhou","sequence":"additional","affiliation":[{"name":"College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China"}]},{"given":"Xuesong","family":"Jiang","sequence":"additional","affiliation":[{"name":"College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China"}]},{"given":"Linyun","family":"Xu","sequence":"additional","affiliation":[{"name":"College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China"}]},{"given":"Qing","family":"Li","sequence":"additional","affiliation":[{"name":"School of Energy Science and Engineering, Central South University, Changsha 410083, China"}]},{"given":"Yu","family":"Ru","sequence":"additional","affiliation":[{"name":"College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China"}]}],"member":"1968","published-online":{"date-parts":[[2015,10,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1146\/annurev.fluid.36.050802.122124","article-title":"Engineering flows in small devices: Microfluidics toward a lab-on-a-chip","volume":"36","author":"Stone","year":"2004","journal-title":"Annu. 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