Stabilized space–time finite elements for high-definition simulation of packed bed chromatography
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Carta, 2010
Guiochon, 2002, Preparative liquid chromatography, J. Chromatogr. A, 965, 129, 10.1016/S0021-9673(01)01471-6
Guiochon, 2006
von Lieres, 2010, A fast and accurate solver for the general rate model of column liquid chromatography, Comput. Chem. Eng., 34, 1180, 10.1016/j.compchemeng.2010.03.008
Püttmann, 2013, Fast and accurate parameter sensitivities for the general rate model of column liquid chromatography, Comput. Chem. Eng., 56, 46, 10.1016/j.compchemeng.2013.04.021
Spurk, 2008
Müller-Späth, 2011, Model simulation and experimental verification of a cation-exchange IgG capture step in batch and continuous chromatography, J. Chromatogr. A, 1218, 5195, 10.1016/j.chroma.2011.05.103
Brezzi, 1974, On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers, RAIRO Anal. Numer., 8, 129
Hughes, 1987, A new finite element formulation for computational fluid dynamics: VII. The Stokes problem with various well-posed boundary conditions: symmetric formulations that converge for all velocity/pressure spaces, Comput. Methods Appl. Mech. Eng., 65, 85, 10.1016/0045-7825(87)90184-8
Behr, 1993, Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows, Comput. Methods Appl. Mech. Eng., 104, 31, 10.1016/0045-7825(93)90205-C
Gresho, 1991, Incompressible fluid dynamics, Annu. Rev. Fluid Mech., 23, 413, 10.1146/annurev.fl.23.010191.002213
Donea, 2003
Hughes, 1989, A new finite element formulation for computational fluid dynamics: VIII. The galerkin/least-squares method for advective–diffusive equations, Comput. Methods Appl. Mech. Eng., 73, 173, 10.1016/0045-7825(89)90111-4
Johnson, 1984, Finite element methods for linear hyperbolic problems, Comput. Methods Appl. Mech. Eng., 45, 285, 10.1016/0045-7825(84)90158-0
Nam, 2011, Space–time least-squares finite element method for convection–reaction system with transformed variables, Comput. Methods Appl. Mech. Eng., 200, 2562, 10.1016/j.cma.2011.04.015
Hauke, 2005, Fourier analysis of semi-discrete and space–time stabilized methods for the advective-diffusive-reactive equation: I. SUPG, Comput. Methods Appl. Mech. Eng., 194, 45, 10.1016/j.cma.2004.06.004
Hauke, 2005, Fourier analysis of semi-discrete and space–time stabilized methods for the advective–diffusive–reactive equation: II. SGS, Comput. Methods Appl. Mech. Eng., 194, 691, 10.1016/j.cma.2004.06.005
Codina, 1998, Comparison of some finite element methods for solving the diffusion-convection-reaction equation, Comput. Methods Appl. Mech. Eng., 156, 185, 10.1016/S0045-7825(97)00206-5
Franca, 2000, On an improved unusual stabilized finite element method for the advective–reactive–diffusive equation, Comput. Methods Appl. Mech. Eng., 190, 1785, 10.1016/S0045-7825(00)00190-0
Tezduyar, 1992, Computation of unsteady incompressible flows with the stabilized finite element methods, New Methods Transient Anal., 246, 7
Behr, 1994, Finite element solution strategies for large-scale flow simulations, Comput. Methods Appl. Mech. Eng., 112, 3, 10.1016/0045-7825(94)90016-7
Tezduyar, 1995, Massively parallel finite element computation of 3D flows – mesh update strategies in computation of moving boundaries and interfaces, Parallel Comput. Fluid Dyn., 21
Wille, 2002, Block and full matrix ILU preconditioners for parallel finite element solvers, Comput. Methods Appl. Mech. Eng., 191, 1381, 10.1016/S0045-7825(01)00329-2
Wille, 2003, Parallel ILU preconditioning, a priori pivoting and segregation of variables for iterative solution of the mixed finite element formulation of the Navier–Stokes equations, Int. J. Numer. Methods Fluids, 41, 977, 10.1002/fld.477
Staff, 2005, Parallel ILU preconditioning and parallel mesh adaptation with load balancing for general domain decompositions for the Navier–Stokes equations, Int. J. Numer. Methods Fluids, 47, 1301, 10.1002/fld.930
Wagner, 2001, The extended finite element method for rigid particles in Stokes flow, Int. J. Numer. Methods Eng., 51, 293, 10.1002/nme.169
Moes, 1999, A finite element method for crack growth without remeshing, Int. J. Numer. Methods Eng., 46, 131, 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J
Karypis, 1999, A fast and high quality multilevel scheme for partitioning irregular graphs, SIAM J. Sci. Comput., 20, 359, 10.1137/S1064827595287997
F. Pellegrini, J. Roman, SCOTCH: a software package for static mapping by dual recursive bipartitioning of process and architecture graphs. in: Proceedings of HPCN 96, Brussels, Belgium, 1996, pp. 493–498.
Karypis, 1999, Parallel multilevel k-way partitioning scheme for irregular graphs, SIAM Rev., 41, 278, 10.1137/S0036144598334138
Montesinos, 2005, Analysis and simulation of frontal affinity chromatography of proteins, Sep. Purif. Technol., 42, 75, 10.1016/j.seppur.2004.03.014
Khirevich, 2010, Statistical analysis of packed beds, the origin of short-range disorder, and its impact on eddy dispersion, J. Chromatogr. A, 1217, 4713, 10.1016/j.chroma.2010.05.019
Khirevich, 2011, Structure–transport correlation for the diffusive tortuosity of bulk, monodisperse, random sphere packings, J. Chromatogr. A, 1218, 6489, 10.1016/j.chroma.2011.07.066
W. Tongpool. Optimum cutting pattern generation of membrane structures. Master’s Thesis, Faculty of Engineering, Chulalongkorn University, 2006