A Parallel Solver for the Design of Oil Filters

References

• Ph. Angot . Analysis of singular perturbations on the Brinkman problem for fictitious domain models of viscous flows . Math. Meth. Appl. Sci. , 22 (16) 1395 – 1412 , 1999 . doi: 10.1002/(SICI)1099-1476(19991110)22:16¡1395::AID-MMA84¿3.0.CO;2-3 .
   Google Scholar
• M. Baravykaitė , R. Belevičius and R. Čiegis . One application of the parallelization tool of Master – Slave algorithms . Informatica , 13 (4) 393 – 404 , 2002 .
   Google Scholar
• M. Baravykaitė and R. Čiegis . An implementation of a parallel generalized branch and bound template . Math. Model. Anal. , 12 (3) 277 – 289 , 2007 . doi: 10.3846/1392-6292.2007.12.277-289 .
   Web of Science ®Google Scholar
• M. Baravykaitė , R. Čiegis and J. Žilinskas . Template realization of generalized branch and bound algorithm . Math. Model. Anal. , 10 (3) 217 – 236 , 2005 . doi: 10.1080/13926292.2005.9637283 .
   Google Scholar
• Brinkman , H.C. 1947 . A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles . Appl. Sci. Res. , 1 ( 1 ) : 27 – 34 .
   Google Scholar
• L. Cai and R. White . Reduction of model order based on proper orthogonal decomposition for lithium-ion battery simulations . J. Electrochemical Soc. , 156 (3) A154 – A161 , 2009 . doi: 10.1149/1.3049347 .
   Google Scholar
• A.J. Chorin . Numerical solution of Navier–Stokes equation . Math. Comp. , 22 : 745 – 760 , 1968 . doi: 10.1090/S0025-5718-1968-0242392-2 .
   Web of Science ®Google Scholar
• R. Čiegis , O. Iliev and Z. Lakdawala . On parallel numerical algorithms for simulating industrial filtration problems . Comput, Methods Appl. Math. , 7 (2) 118 – 134 , 2007 .
   Google Scholar
• R. Čiegis , O. Iliev , V. Starikovičius and K. Steiner . Numerical algorithms for solving problems of multiphase flows in porous media . Math. Model. Anal. , 11 (2) 133 – 148 , 2006 . doi: 10.1080/13926292.2006.9637308 .
   Google Scholar
• Raim. Čiegis , Rem. Čiegis , M. Meilūnas , G. Jankevičciūtė and V. Starikovičius . Parallel mumerical algorithm for optimization of electrical cables . Math. Model. Anal. , 13 (4) 471 – 482 , 2008 . doi: 10.3846/1392-6292.2008.13.471-482 .
   Web of Science ®Google Scholar
• C.A.C. Coello . An updated survey of GA-based multiobjective optimization techniques . ACM Computing Surveys , 32 (2) 109 – 143 , 2000 . doi: 10.1145/358923.358929 .
   Web of Science ®Google Scholar
• M. Couplet , C. Basdevant and C. Sagaut . Calibrated reduced-order PODGalerkin system for fluid flow modelling . J. Comp. Phys., 207 (1) 192 – 220 , 2005 . doi: 10.1016/j.jcp.2005.01.008 .
   Google Scholar
• M. Dedering , O. Iliev , Z. Lakdawala , R. Čiegis , V. Starikovičius and P. Popov . Advanced CFD simulation of filtration processes . In Proceedings of International Conference and Exihibition for Filtration and Separation Technology (FILTECH 2009) , volume 1 , pp. 440 – 444 , Wiesbaden , 2009 .
   Google Scholar
• C.A.J. Fletcher . Computational Techniques for Fluid Dynamics . Springer , 1991 .
   Google Scholar
• Message Passing Interface Forum . MPI: A Message-Passing Interface Standard . http://www.mpi-forum.org Version 1.1 , 1995 .
   Google Scholar
• R. Horst , P.M. Pardalos and Nguyen V. Thoai . Introduction to Global Optimization . Kluwer Academic Publishers , 2000 .
   Google Scholar
• O. Iliev and V. Laptev . On numerical simulation of flow through oil filters . Comput. Vis. Sci., 6 139 – 146 , 2004 .
   Google Scholar
• G. Karypis and V. Kumar . A fast and high quality multilevel scheme for partitioning irregular graphs . SIAM J. Sci. Comput., 20 (1) 359 – 392 , 1999 .
   Google Scholar
• Korŏsec , P. and Šilc , J. 2006 . “ Real-parameter optimization using stigmergy ” . In Proceedings of the Second International Conference on Bioinspired Optimization Methods and Their Application, BIOMA 2006 73 – 84 .
   Google Scholar
• V. Kumar , A. Grama , A. Gupta and G. Karypis . Introduction to Parallel Computing: Design and Analysis of Algorithms . Benjamin/Cummings, Redwood City , 1994 .
   Google Scholar
• V. Laptev . Numerical Solution of Coupled Flow in Plain and Porous Media. PhD thesis , Technical University of Kaiserslautern , 2003 .
   Google Scholar
• V. Starikovičius , R. Čiegis , O. Iliev and Z. Lakdawala . A parallel solver for the 3D simulation of flows through oil filters . In R. Čiegis , D. Henty , B. Kagstrōm and J. Žilinskas Parallel Linear Algebra and Optimization: Advances and Applications Springer Optimization and Its Applications . ISBN: 978-0-387-097060 , volume 27 , pp. 185 – 196 , New York , 2009 . Springer .
   Google Scholar
• P.J. van Laarhoven and E.H. Aarts . Simulated Annealing: Theory and Applications . Kluwer Academic Publisher , 1992 .
   Google Scholar