Wu, Yanyao; Yang, Junxiang; Tan, Zhijun A highly efficient variant of scalar auxiliary variable (SAV) approach for the phase-field fluid-surfactant model. (English) Zbl 07740233 Comput. Phys. Commun. 292, Article ID 108860, 24 p. (2023). MSC: 35Q30 35Q35 76D05 76D45 65M06 76M20 PDFBibTeX XMLCite \textit{Y. Wu} et al., Comput. Phys. Commun. 292, Article ID 108860, 24 p. (2023; Zbl 07740233) Full Text: DOI
Yang, Junxiang; Tan, Zhijun; Wang, Jian; Kim, Junseok Modified diffuse interface fluid model and its consistent energy-stable computation in arbitrary domains. (English) Zbl 07696979 J. Comput. Phys. 488, Article ID 112216, 33 p. (2023). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{J. Yang} et al., J. Comput. Phys. 488, Article ID 112216, 33 p. (2023; Zbl 07696979) Full Text: DOI
Yang, Junxiang; Wang, Jian; Tan, Zhijun; Kim, Junseok Efficient IMEX and consistently energy-stable methods of diffuse-interface models for incompressible three-component flows. (English) Zbl 07692504 Comput. Phys. Commun. 282, Article ID 108558, 27 p. (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Yang} et al., Comput. Phys. Commun. 282, Article ID 108558, 27 p. (2023; Zbl 07692504) Full Text: DOI
Wang, Shuman; Yang, Junxiang; Pan, Xiaomin Highly efficient time-marching method with enhanced energy consistency for the \(L^2\)-gradient flow based two-phase incompressible fluid system. (English) Zbl 07692017 Comput. Math. Appl. 139, 68-90 (2023). MSC: 65M06 65M12 76D05 35Q35 76M20 PDFBibTeX XMLCite \textit{S. Wang} et al., Comput. Math. Appl. 139, 68--90 (2023; Zbl 07692017) Full Text: DOI
Yang, Junxiang; Li, Yibao; Kim, Junseok Totally decoupled implicit-explicit linear scheme with corrected energy dissipation law for the phase-field fluid vesicle model. (English) Zbl 1507.76149 Comput. Methods Appl. Mech. Eng. 399, Article ID 115330, 25 p. (2022). MSC: 76M20 65M06 76Z05 PDFBibTeX XMLCite \textit{J. Yang} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115330, 25 p. (2022; Zbl 1507.76149) Full Text: DOI
Wu, Jingwen; Yang, Junxiang; Tan, Zhijun Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen-Cahn fluid models based on a modified SAV approach. (English) Zbl 1507.76182 Comput. Methods Appl. Mech. Eng. 398, Article ID 115291, 39 p. (2022). MSC: 76M99 65M99 76Txx PDFBibTeX XMLCite \textit{J. Wu} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115291, 39 p. (2022; Zbl 1507.76182) Full Text: DOI
Kwak, Soobin; Yang, Junxiang; Kim, Junseok A conservative Allen-Cahn equation with a curvature-dependent Lagrange multiplier. (English) Zbl 1524.65663 Appl. Math. Lett. 126, Article ID 107838, 9 p. (2022). MSC: 65M70 65M06 65M12 35K57 35Q35 76T10 PDFBibTeX XMLCite \textit{S. Kwak} et al., Appl. Math. Lett. 126, Article ID 107838, 9 p. (2022; Zbl 1524.65663) Full Text: DOI
Yang, Junxiang; Kim, Junseok Numerical simulation and analysis of the Swift-Hohenberg equation by the stabilized Lagrange multiplier approach. (English) Zbl 1509.65078 Comput. Appl. Math. 41, No. 1, Paper No. 20, 23 p. (2022). MSC: 65M06 65N06 65N55 65M12 65M15 65N22 35R09 37M05 35Q35 PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Kim}, Comput. Appl. Math. 41, No. 1, Paper No. 20, 23 p. (2022; Zbl 1509.65078) Full Text: DOI
Yang, Junxiang; Kim, Junseok A variant of stabilized-scalar auxiliary variable (S-SAV) approach for a modified phase-field surfactant model. (English) Zbl 07690861 Comput. Phys. Commun. 261, Article ID 107825, 15 p. (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Kim}, Comput. Phys. Commun. 261, Article ID 107825, 15 p. (2021; Zbl 07690861) Full Text: DOI
Yang, Junxiang; Kim, Junseok An improved scalar auxiliary variable (SAV) approach for the phase-field surfactant model. (English) Zbl 1481.76088 Appl. Math. Modelling 90, 11-29 (2021). MSC: 76D45 65M06 PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Kim}, Appl. Math. Modelling 90, 11--29 (2021; Zbl 1481.76088) Full Text: DOI
Yang, Junxiang; Kim, Junseok Numerical study of the ternary Cahn-Hilliard fluids by using an efficient modified scalar auxiliary variable approach. (English) Zbl 1497.65157 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105923, 24 p. (2021). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M55 76M99 35Q35 PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Kim}, Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105923, 24 p. (2021; Zbl 1497.65157) Full Text: DOI
Jeong, Darae; Li, Yibao; Lee, Chaeyoung; Yang, Junxiang; Kim, Junseok A conservative numerical method for the Cahn-Hilliard equation with generalized mobilities on curved surfaces in three-dimensional space. (English) Zbl 1486.65107 Commun. Comput. Phys. 27, No. 2, 412-430 (2020). MSC: 65M06 65M22 35K55 PDFBibTeX XMLCite \textit{D. Jeong} et al., Commun. Comput. Phys. 27, No. 2, 412--430 (2020; Zbl 1486.65107) Full Text: DOI
Yang, Junxiang; Kim, Junseok A phase-field model and its efficient numerical method for two-phase flows on arbitrarily curved surfaces in 3D space. (English) Zbl 1506.76104 Comput. Methods Appl. Mech. Eng. 372, Article ID 113382, 21 p. (2020). MSC: 76M10 65M60 76D05 76T06 PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Kim}, Comput. Methods Appl. Mech. Eng. 372, Article ID 113382, 21 p. (2020; Zbl 1506.76104) Full Text: DOI
Yang, Junxiang; Li, Yibao; Kim, Junseok A practical finite difference scheme for the Navier-Stokes equation on curved surfaces in \(\mathbb{R}^3\). (English) Zbl 1436.76048 J. Comput. Phys. 411, Article ID 109403, 15 p. (2020). MSC: 76M20 76D05 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Comput. Phys. 411, Article ID 109403, 15 p. (2020; Zbl 1436.76048) Full Text: DOI
Yang, Junxiang; Li, Yibao; Lee, Chaeyoung; Jeong, Darae; Kim, Junseok A conservative finite difference scheme for the \(N\)-component Cahn-Hilliard system on curved surfaces in 3D. (English) Zbl 1436.65115 J. Eng. Math. 119, 149-166 (2019). MSC: 65M06 35Q35 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Eng. Math. 119, 149--166 (2019; Zbl 1436.65115) Full Text: DOI