Farías, Catalina; Bayona-Roa, Camilo; Castillo, Ernesto; Cabrales, Roberto C.; Reyes, Ricardo Reduced order modeling of parametrized pulsatile blood flows: hematocrit percentage and heart rate. (English) Zbl 07776187 Int. J. Eng. Sci. 193, Article ID 103943, 23 p. (2023). MSC: 92-XX 76-XX PDFBibTeX XMLCite \textit{C. Farías} et al., Int. J. Eng. Sci. 193, Article ID 103943, 23 p. (2023; Zbl 07776187) Full Text: DOI
Pacheco, Douglas R. Q.; Castillo, Ernesto Consistent splitting schemes for incompressible viscoelastic flow problems. (English) Zbl 07769142 Int. J. Numer. Methods Eng. 124, No. 8, 1908-1927 (2023). MSC: 76M20 76M10 76A10 PDFBibTeX XMLCite \textit{D. R. Q. Pacheco} and \textit{E. Castillo}, Int. J. Numer. Methods Eng. 124, No. 8, 1908--1927 (2023; Zbl 07769142) Full Text: DOI OA License
Díaz, Felipe A.; Castillo, Ernesto; Cabrales, Roberto C.; Moraga, Nelson O. Non-relaxed finite volume fractional step schemes for unsteady incompressible flows. (English) Zbl 07741336 Comput. Math. Appl. 146, 241-252 (2023). MSC: 76D05 76M10 76M20 76M25 65M60 PDFBibTeX XMLCite \textit{F. A. Díaz} et al., Comput. Math. Appl. 146, 241--252 (2023; Zbl 07741336) Full Text: DOI
Reyes, R.; Ruz, O.; Bayona-Roa, C.; Castillo, E.; Tello, A. Reduced order modeling for parametrized generalized Newtonian fluid flows. (English) Zbl 07679189 J. Comput. Phys. 484, Article ID 112086, 20 p. (2023). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{R. Reyes} et al., J. Comput. Phys. 484, Article ID 112086, 20 p. (2023; Zbl 07679189) Full Text: DOI
González, A.; Cabrales, R. C.; Castillo, E. Numerical study of the use of residual- and non-residual-based stabilized VMS formulations for incompressible power-law fluids. (English) Zbl 1507.76104 Comput. Methods Appl. Mech. Eng. 400, Article ID 115586, 21 p. (2022). MSC: 76M10 PDFBibTeX XMLCite \textit{A. González} et al., Comput. Methods Appl. Mech. Eng. 400, Article ID 115586, 21 p. (2022; Zbl 1507.76104) Full Text: DOI
Osses, G.; Castillo, E.; Moraga, N. O. Numerical modeling of laminar and chaotic natural convection flows using a non-residual dynamic VMS formulation. (English) Zbl 1507.76191 Comput. Methods Appl. Mech. Eng. 386, Article ID 114099, 25 p. (2021). MSC: 76R10 76M10 65M60 PDFBibTeX XMLCite \textit{G. Osses} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114099, 25 p. (2021; Zbl 1507.76191) Full Text: DOI
Ruz, O.; Castillo, E.; Cruchaga, M.; Aguirre, A. Numerical study of the effect of blockage ratio on the flow past one and two cylinders in tandem for different power-law fluids. (English) Zbl 1481.76082 Appl. Math. Modelling 89, Part 2, 1640-1662 (2021). MSC: 76D25 76D05 35Q35 37G15 PDFBibTeX XMLCite \textit{O. Ruz} et al., Appl. Math. Modelling 89, Part 2, 1640--1662 (2021; Zbl 1481.76082) Full Text: DOI
Ruz, O.; Castillo, E.; Cruchaga, M. Numerical study of the effect of blockage ratio in forced convection confined flows of shear-thinning fluids. (English) Zbl 1495.76040 J. Fluid Mech. 929, Paper No. A21, 28 p. (2021). MSC: 76E06 76R05 76A05 76M10 80A19 PDFBibTeX XMLCite \textit{O. Ruz} et al., J. Fluid Mech. 929, Paper No. A21, 28 p. (2021; Zbl 1495.76040) Full Text: DOI
Ortega, E.; Castillo, E.; Cabrales, R. C.; Moraga, N. O. Effect of time integration scheme in the numerical approximation of thermally coupled problems: from first to third order. (English) Zbl 1524.76138 Comput. Math. Appl. 99, 345-360 (2021). MSC: 76D05 76M10 65M60 80A19 65L06 PDFBibTeX XMLCite \textit{E. Ortega} et al., Comput. Math. Appl. 99, 345--360 (2021; Zbl 1524.76138) Full Text: DOI
Abugattas, C.; Aguirre, A.; Castillo, E.; Cruchaga, M. Numerical study of bifurcation blood flows using three different non-Newtonian constitutive models. (English) Zbl 1481.76295 Appl. Math. Modelling 88, 529-549 (2020). MSC: 76Z05 76A05 92C35 PDFBibTeX XMLCite \textit{C. Abugattas} et al., Appl. Math. Modelling 88, 529--549 (2020; Zbl 1481.76295) Full Text: DOI
González, Amaru; Castillo, Ernesto; Cruchaga, Marcela A. Numerical verification of a non-residual orthogonal term-by-term stabilized finite element formulation for incompressible convective flow problems. (English) Zbl 1447.65073 Comput. Math. Appl. 80, No. 5, 1009-1028 (2020). MSC: 65M60 65M06 76D05 76F65 35B32 76M10 76M20 PDFBibTeX XMLCite \textit{A. González} et al., Comput. Math. Appl. 80, No. 5, 1009--1028 (2020; Zbl 1447.65073) Full Text: DOI
Barrenechea, Gabriel R.; Castillo, Ernesto; Codina, Ramon Time-dependent semidiscrete analysis of the viscoelastic fluid flow problem using a variational multiscale stabilized formulation. (English) Zbl 1461.65238 IMA J. Numer. Anal. 39, No. 2, 792-819 (2019). MSC: 65M60 65M12 76A10 35A15 65M15 35A01 35A02 PDFBibTeX XMLCite \textit{G. R. Barrenechea} et al., IMA J. Numer. Anal. 39, No. 2, 792--819 (2019; Zbl 1461.65238) Full Text: DOI Link
Castillo, E.; Codina, R. Dynamic term-by-term stabilized finite element formulation using orthogonal subgrid-scales for the incompressible Navier-Stokes problem. (English) Zbl 1441.76056 Comput. Methods Appl. Mech. Eng. 349, 701-721 (2019). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{E. Castillo} and \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 349, 701--721 (2019; Zbl 1441.76056) Full Text: DOI
Moreno, Laura; Codina, Ramon; Baiges, Joan; Castillo, Ernesto Logarithmic conformation reformulation in viscoelastic flow problems approximated by a VMS-type stabilized finite element formulation. (English) Zbl 1441.76068 Comput. Methods Appl. Mech. Eng. 354, 706-731 (2019). MSC: 76M10 65M60 76A10 PDFBibTeX XMLCite \textit{L. Moreno} et al., Comput. Methods Appl. Mech. Eng. 354, 706--731 (2019; Zbl 1441.76068) Full Text: DOI Link
Castillo, Ernesto; Cruchaga, Marcela A.; Baiges, Joan; Flores, José An oil sloshing study: adaptive fixed-mesh ALE analysis and comparison with experiments. (English) Zbl 1466.76004 Comput. Mech. 63, No. 5, 985-998 (2019). MSC: 76A10 76M10 76-05 PDFBibTeX XMLCite \textit{E. Castillo} et al., Comput. Mech. 63, No. 5, 985--998 (2019; Zbl 1466.76004) Full Text: DOI Link
Baiges, Joan; Codina, Ramon; Pont, Arnau; Castillo, Ernesto An adaptive fixed-mesh ALE method for free surface flows. (English) Zbl 1439.76047 Comput. Methods Appl. Mech. Eng. 313, 159-188 (2017). MSC: 76M10 65M60 65M12 65Y15 76D05 PDFBibTeX XMLCite \textit{J. Baiges} et al., Comput. Methods Appl. Mech. Eng. 313, 159--188 (2017; Zbl 1439.76047) Full Text: DOI Link
Castillo, E.; Codina, R. Finite element approximation of the viscoelastic flow problem: a non-residual based stabilized formulation. (English) Zbl 1390.76297 Comput. Fluids 142, 72-78 (2017). MSC: 76M10 65M60 76A10 PDFBibTeX XMLCite \textit{E. Castillo} and \textit{R. Codina}, Comput. Fluids 142, 72--78 (2017; Zbl 1390.76297) Full Text: DOI Link
Castillo, Ernesto; Codina, Ramon Numerical analysis of a stabilized finite element approximation for the three-field linearized viscoelastic fluid problem using arbitrary interpolations. (English) Zbl 1393.76008 ESAIM, Math. Model. Numer. Anal. 51, No. 4, 1407-1427 (2017). MSC: 76A10 76M10 65N30 65N12 PDFBibTeX XMLCite \textit{E. Castillo} and \textit{R. Codina}, ESAIM, Math. Model. Numer. Anal. 51, No. 4, 1407--1427 (2017; Zbl 1393.76008) Full Text: DOI Link
Castillo, E.; Codina, R. First, second and third order fractional step methods for the three-field viscoelastic flow problem. (English) Zbl 1352.76044 J. Comput. Phys. 296, 113-137 (2015). MSC: 76M10 65M60 35Q35 65M12 76A10 PDFBibTeX XMLCite \textit{E. Castillo} and \textit{R. Codina}, J. Comput. Phys. 296, 113--137 (2015; Zbl 1352.76044) Full Text: DOI
Castillo, Ernesto; Codina, Ramon Variational multi-scale stabilized formulations for the stationary three-field incompressible viscoelastic flow problem. (English) Zbl 1423.76217 Comput. Methods Appl. Mech. Eng. 279, 579-605 (2014). MSC: 76M10 65N30 76A10 PDFBibTeX XMLCite \textit{E. Castillo} and \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 279, 579--605 (2014; Zbl 1423.76217) Full Text: DOI
Castillo, Ernesto; Codina, Ramon Stabilized stress-velocity-pressure finite element formulations of the Navier-Stokes problem for fluids with non-linear viscosity. (English) Zbl 1423.76216 Comput. Methods Appl. Mech. Eng. 279, 554-578 (2014). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{E. Castillo} and \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 279, 554--578 (2014; Zbl 1423.76216) Full Text: DOI