Medeiros, Debora D.; Notsu, Hirofumi; Oishi, Cassio M. Second-order finite difference approximations of the upper-convected time derivative. (English) Zbl 1498.65147 SIAM J. Numer. Anal. 59, No. 6, 2955-2988 (2021). Reviewer: Michael Jung (Dresden) MSC: 65M25 76A10 76M20 PDFBibTeX XMLCite \textit{D. D. Medeiros} et al., SIAM J. Numer. Anal. 59, No. 6, 2955--2988 (2021; Zbl 1498.65147) Full Text: DOI arXiv
Evans, J. D.; França, H. L.; Palhares Junior, I. L.; Oishi, C. M. Testing viscoelastic numerical schemes using the Oldroyd-B fluid in Newtonian kinematics. (English) Zbl 1462.76131 Appl. Math. Comput. 387, Article ID 125106, 32 p. (2020). MSC: 76M20 76A10 76D10 76M45 PDFBibTeX XMLCite \textit{J. D. Evans} et al., Appl. Math. Comput. 387, Article ID 125106, 32 p. (2020; Zbl 1462.76131) Full Text: DOI
Evans, Jonathan D.; França, Hugo L.; Oishi, Cassio M. Application of the natural stress formulation for solving unsteady viscoelastic contraction flows. (English) Zbl 1452.76152 J. Comput. Phys. 388, 462-489 (2019); corrigendum ibid. 404, Article ID 108693, 1 p. (2020). MSC: 76M20 65M06 76A10 PDFBibTeX XMLCite \textit{J. D. Evans} et al., J. Comput. Phys. 388, 462--489 (2019; Zbl 1452.76152) Full Text: DOI
Oishi, Cassio M.; Thompson, Roney L.; Martins, Fernando P. Normal and oblique drop impact of yield stress fluids with thixotropic effects. (English) Zbl 1421.76009 J. Fluid Mech. 876, 642-679 (2019). MSC: 76A05 76T10 PDFBibTeX XMLCite \textit{C. M. Oishi} et al., J. Fluid Mech. 876, 642--679 (2019; Zbl 1421.76009) Full Text: DOI
Oishi, Cassio M.; Thompson, Roney L.; Martins, Fernando P. Transient motions of elasto-viscoplastic thixotropic materials subjected to an imposed stress field and to stress-based free-surface boundary conditions. (English) Zbl 1423.74157 Int. J. Eng. Sci. 109, 165-201 (2016). MSC: 74C05 74C10 PDFBibTeX XMLCite \textit{C. M. Oishi} et al., Int. J. Eng. Sci. 109, 165--201 (2016; Zbl 1423.74157) Full Text: DOI Link
Tomé, M. F.; Bertoco, J.; Oishi, C. M.; Araujo, M. S. B.; Cruz, D.; Pinho, F. T.; Vynnycky, M. A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows. (English) Zbl 1349.76539 J. Comput. Phys. 311, 114-141 (2016). MSC: 76M20 65M06 76A05 PDFBibTeX XMLCite \textit{M. F. Tomé} et al., J. Comput. Phys. 311, 114--141 (2016; Zbl 1349.76539) Full Text: DOI Link
Sousa, Fabricio S.; Oishi, Cassio M.; Buscaglia, Gustavo C. Spurious transients of projection methods in microflow simulations. (English) Zbl 1423.76103 Comput. Methods Appl. Mech. Eng. 285, 659-693 (2015). MSC: 76D05 76M20 76M10 35Q35 65M06 65M60 PDFBibTeX XMLCite \textit{F. S. Sousa} et al., Comput. Methods Appl. Mech. Eng. 285, 659--693 (2015; Zbl 1423.76103) Full Text: DOI
Martins, F. P.; Oishi, C. M.; Afonso, A. M.; Alves, M. A. A numerical study of the kernel-conformation transformation for transient viscoelastic fluid flows. (English) Zbl 1349.76015 J. Comput. Phys. 302, 653-673 (2015). MSC: 76A10 PDFBibTeX XMLCite \textit{F. P. Martins} et al., J. Comput. Phys. 302, 653--673 (2015; Zbl 1349.76015) Full Text: DOI
Cuminato, José A.; Oishi, Cassio M.; Figueiredo, Rafael A. Implicit methods for simulating low Reynolds number free surface flows: improvements on MAC-type methods. (English) Zbl 1326.76011 Wakayama, Masato (ed.) et al., The impact of applications on mathematics. Proceedings of the Forum of Mathematics for Industry, “Math-for-Industry 2013”, Fukuoka, Japan, November 4–8, 2013. Tokyo: Springer (ISBN 978-4-431-54906-2/hbk; 978-4-431-54907-9/ebook). Mathematics for Industry 1, 123-139 (2014). MSC: 76B07 76M25 76D05 76A05 PDFBibTeX XMLCite \textit{J. A. Cuminato} et al., Math. Ind. (Tokyo) 1, 123--139 (2014; Zbl 1326.76011) Full Text: DOI
Ferreira, V. G.; de Queiroz, R. A. B.; Lima, G. A. B.; Cuenca, R. G.; Oishi, C. M.; Azevedo, J. L. F.; McKee, S. A bounded upwinding scheme for computing convection-dominated transport problems. (English) Zbl 1365.76190 Comput. Fluids 57, 208-224 (2012). MSC: 76M20 65M06 35Q35 PDFBibTeX XMLCite \textit{V. G. Ferreira} et al., Comput. Fluids 57, 208--224 (2012; Zbl 1365.76190) Full Text: DOI Link
Ferreira, V. G.; Kurokawa, F. A.; Oishi, C. M.; Kaibara, M. K.; Castelo, A.; Cuminato, J. A. Evaluation of a bounded high-order upwind scheme for 3D incompressible free surface flow computations. (English) Zbl 1157.76033 Math. Comput. Simul. 79, No. 6, 1895-1914 (2009). MSC: 76M20 76D27 76D05 PDFBibTeX XMLCite \textit{V. G. Ferreira} et al., Math. Comput. Simul. 79, No. 6, 1895--1914 (2009; Zbl 1157.76033) Full Text: DOI
Oishi, C. M.; Cuminato, J. A.; Yuan, J. Y.; McKee, S. Stability of numerical schemes on staggered grids. (English) Zbl 1212.35184 Numer. Linear Algebra Appl. 15, No. 10, 945-967 (2008). MSC: 35K05 35Q30 65M12 PDFBibTeX XMLCite \textit{C. M. Oishi} et al., Numer. Linear Algebra Appl. 15, No. 10, 945--967 (2008; Zbl 1212.35184) Full Text: DOI
Oishi, Cassio M.; Tomé, Murilo F.; Cuminato, José A.; McKee, Sean An implicit technique for solving 3D low Reynolds number moving free surface flows. (English) Zbl 1141.76045 J. Comput. Phys. 227, No. 16, 7446-7468 (2008). MSC: 76M20 76D27 76A10 PDFBibTeX XMLCite \textit{C. M. Oishi} et al., J. Comput. Phys. 227, No. 16, 7446--7468 (2008; Zbl 1141.76045) Full Text: DOI