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Article Citation - WoS: 10Citation - Scopus: 11A Multi-Domain Direct Boundary Element Formulation for Particulate Flow in Microchannels(Elsevier Sci Ltd, 2021) Topuz, Alper; Baranoglu, Besim; Cetin, BarbarosIn the present study, a multi-domain boundary element formulation is developed for high surface-area-to-volume ratio problems (i.e. particulate flow in high aspect ratio microfluidic channels, in a porous medium or in microfluidic devices with repetitive structures). The solution domain is decomposed into subdomains and the variable condensation technique is implemented. The solution matrices are built for each subdomain, and the matrices are updated at each time step only for the subdomains in which the particles move at each time step. Ghost domains, which are fictitious domains encapsulating the interfaces between the subdomains, are also introduced in the formulation to treat the particles crossing the interfaces between the subdomains. The formulation reveals that the computation of the subdomain matrices is further simplified for solution domains composed of periodic structures. The results of our study revealed that speed-up values as high as 50 is achievable with the current formulation.Article Citation - WoS: 5Citation - Scopus: 6Isogeometric Boundary Element Formulation for Cathodic Protection of Amphibious Vehicles(Elsevier Sci Ltd, 2024) Gumus, Ozgur Can; Atak, Kaan; Cetin, Baris; Baranoglu, Besim; Cetin, BarbarosIn this study, we propose an isogeometric boundary element formulation for the cathodic protection (CP) modeling for amphibious vehicles which includes the treatment of non-linear boundary conditions. Half-space Green's functions are utilized which leads to the discretization of the hull surface only. Non-Uniform Rational B splines (NURBS) are employed to represent both geometry and field variables to obtain higher accuracy where discontinuous collocation points are utilized to make multi-patch implementation easier. Variable condensation technique is applied to manipulate system matrices in a such way that the solution is iterated only on the surfaces where non-linear boundary conditions are assigned which results in reduced computational cost. The computational performance of the formulation is assessed with different solvers for a representative hull geometry.
