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The Brinkman\u2013Debye\u2013Bueche model is adopted for the\nfluid flow inside the porous particle, being coupled with the Stokes equations for the fluid flow\noutside the particle. The rotating motion of a porous ball and the interaction of two porous balls in bounded\nshear flows have been studied by these two new methods. The numerical results show\nthat the porous particle permeability has a strong effect on the interaction of two porous balls.<\/jats:p>","DOI":"10.1515\/cmam-2017-0012","type":"journal-article","created":{"date-parts":[[2017,6,7]],"date-time":"2017-06-07T10:01:25Z","timestamp":1496829685000},"page":"397-412","source":"Crossref","is-referenced-by-count":4,"title":["Numerical Methods for Simulating the Motion of Porous Balls in Simple 3D Shear Flows Under Creeping Conditions"],"prefix":"10.1515","volume":"17","author":[{"given":"Aixia","family":"Guo","sequence":"first","affiliation":[{"name":"Department of Mathematics , University of Houston , Houston , TX 77204 , USA"}]},{"given":"Tsorng-Whay","family":"Pan","sequence":"additional","affiliation":[{"name":"Department of Mathematics , University of Houston , Houston , TX 77204 , USA"}]},{"given":"Jiwen","family":"He","sequence":"additional","affiliation":[{"name":"Department of Mathematics , University of Houston , Houston , TX 77204 , USA"}]},{"given":"Roland","family":"Glowinski","sequence":"additional","affiliation":[{"name":"Department of Mathematics , University of Houston , Houston , TX 77204 , USA ; and Department of Mathematics, Hong Kong Baptist University, Hong Kong, P.\u2009R. China"}]}],"member":"374","published-online":{"date-parts":[[2017,6,7]]},"reference":[{"key":"2023033114491575323_j_cmam-2017-0012_ref_001_w2aab3b7e1840b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"J. Adams, P. Swarztrauber and R. Sweet,\nFISHPAK: A Package of Fortran Subprograms for the Solution of Separable Elliptic Partial Differential Equations,\nThe National Center for Atmospheric Research, Boulder, 1980.","DOI":"10.1016\/B978-0-12-632620-8.50014-0"},{"key":"2023033114491575323_j_cmam-2017-0012_ref_002_w2aab3b7e1840b1b6b1ab2ab2Aa","doi-asserted-by":"crossref","unstructured":"P. M. Adler and P. M. Mills,\nMotion and rupture of a porous ball in a linear flow field,\nJ. Rheol. 23 (1979), 25\u201337.","DOI":"10.1122\/1.549514"},{"key":"2023033114491575323_j_cmam-2017-0012_ref_003_w2aab3b7e1840b1b6b1ab2ab3Aa","doi-asserted-by":"crossref","unstructured":"M. Bercovier O. 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