Wang, Chenxi; Lai, Ming-Chih; Zhang, Zhen An improved phase-field algorithm for simulating the impact of a drop on a substrate in the presence of surfactants. (English) Zbl 07819069 J. Comput. Phys. 499, Article ID 112722, 30 p. (2024). MSC: 65Mxx 76Dxx 76Mxx PDFBibTeX XMLCite \textit{C. Wang} et al., J. Comput. Phys. 499, Article ID 112722, 30 p. (2024; Zbl 07819069) Full Text: DOI
Tan, Zengqiang; Tang, Huazhong A general class of linear unconditionally energy stable schemes for the gradient flows. II. (English) Zbl 07766262 J. Comput. Phys. 495, Article ID 112574, 28 p. (2023). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{Z. Tan} and \textit{H. Tang}, J. Comput. Phys. 495, Article ID 112574, 28 p. (2023; Zbl 07766262) Full Text: DOI arXiv
Hong, Qi; Gong, Yuezheng; Zhao, Jia Thermodynamically consistent hydrodynamic phase-field computational modeling for fluid-structure interaction with moving contact lines. (English) Zbl 07742895 J. Comput. Phys. 492, Article ID 112409, 21 p. (2023). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{Q. Hong} et al., J. Comput. Phys. 492, Article ID 112409, 21 p. (2023; Zbl 07742895) Full Text: DOI
Tan, Zengqiang; Tang, Huazhong A general class of linear unconditionally energy stable schemes for the gradient flows. (English) Zbl 07540385 J. Comput. Phys. 464, Article ID 111372, 32 p. (2022). MSC: 65Mxx 65Lxx 35Kxx PDFBibTeX XMLCite \textit{Z. Tan} and \textit{H. Tang}, J. Comput. Phys. 464, Article ID 111372, 32 p. (2022; Zbl 07540385) Full Text: DOI arXiv
Chen, Chuanjun; Yang, Xiaofeng A second-order time accurate and fully-decoupled numerical scheme of the Darcy-Newtonian-nematic model for two-phase complex fluids confined in the Hele-Shaw cell. (English) Zbl 07518104 J. Comput. Phys. 456, Article ID 111026, 24 p. (2022). MSC: 65Mxx 76Axx 76Mxx PDFBibTeX XMLCite \textit{C. Chen} and \textit{X. Yang}, J. Comput. Phys. 456, Article ID 111026, 24 p. (2022; Zbl 07518104) Full Text: DOI
Jiang, Maosheng; Zhang, Zengyan; Zhao, Jia Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation. (English) Zbl 07518095 J. Comput. Phys. 456, Article ID 110954, 20 p. (2022). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{M. Jiang} et al., J. Comput. Phys. 456, Article ID 110954, 20 p. (2022; Zbl 07518095) Full Text: DOI arXiv
Kou, Jisheng; Wang, Xiuhua; Du, Shigui; Sun, Shuyu An energy stable linear numerical method for thermodynamically consistent modeling of two-phase incompressible flow in porous media. (English) Zbl 07517158 J. Comput. Phys. 451, Article ID 110854, 20 p. (2022). MSC: 65Mxx 76Mxx 76Txx PDFBibTeX XMLCite \textit{J. Kou} et al., J. Comput. Phys. 451, Article ID 110854, 20 p. (2022; Zbl 07517158) Full Text: DOI
Li, Yakun; Yu, Wenkai; Zhao, Jia; Wang, Qi Second order linear decoupled energy dissipation rate preserving schemes for the Cahn-Hilliard-extended-Darcy model. (English) Zbl 07515453 J. Comput. Phys. 444, Article ID 110561, 28 p. (2021). MSC: 65Mxx 76Mxx 35Qxx PDFBibTeX XMLCite \textit{Y. Li} et al., J. Comput. Phys. 444, Article ID 110561, 28 p. (2021; Zbl 07515453) Full Text: DOI
Dong, Lixiu; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters. (English) Zbl 07513797 J. Comput. Phys. 442, Article ID 110451, 29 p. (2021). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{L. Dong} et al., J. Comput. Phys. 442, Article ID 110451, 29 p. (2021; Zbl 07513797) Full Text: DOI arXiv
Yang, Xiaofeng A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model. (English) Zbl 07511678 J. Comput. Phys. 432, Article ID 110015, 26 p. (2021). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{X. Yang}, J. Comput. Phys. 432, Article ID 110015, 26 p. (2021; Zbl 07511678) Full Text: DOI
Chen, Lizhen; Zhao, Jia A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations. (English) Zbl 07508402 J. Comput. Phys. 423, Article ID 109782, 17 p. (2020). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{L. Chen} and \textit{J. Zhao}, J. Comput. Phys. 423, Article ID 109782, 17 p. (2020; Zbl 07508402) Full Text: DOI
Fu, Guosheng A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow. (English) Zbl 07507232 J. Comput. Phys. 419, Article ID 109671, 16 p. (2020). MSC: 76-XX 86-XX PDFBibTeX XMLCite \textit{G. Fu}, J. Comput. Phys. 419, Article ID 109671, 16 p. (2020; Zbl 07507232) Full Text: DOI arXiv
Gong, Yuezheng; Zhao, Jia; Wang, Qi Arbitrarily high-order linear energy stable schemes for gradient flow models. (English) Zbl 07507221 J. Comput. Phys. 419, Article ID 109610, 20 p. (2020). MSC: 90-XX 37-XX PDFBibTeX XMLCite \textit{Y. Gong} et al., J. Comput. Phys. 419, Article ID 109610, 20 p. (2020; Zbl 07507221) Full Text: DOI arXiv
Wei, Xiaoyu; Jiang, Shidong; Klöckner, Andreas; Wang, Xiao-Ping An integral equation method for the Cahn-Hilliard equation in the wetting problem. (English) Zbl 07507219 J. Comput. Phys. 419, Article ID 109521, 16 p. (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{X. Wei} et al., J. Comput. Phys. 419, Article ID 109521, 16 p. (2020; Zbl 07507219) Full Text: DOI arXiv
Yushutin, Vladimir; Quaini, Annalisa; Olshanskii, Maxim Numerical modeling of phase separation on dynamic surfaces. (English) Zbl 07504688 J. Comput. Phys. 407, Article ID 109126, 25 p. (2020). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{V. Yushutin} et al., J. Comput. Phys. 407, Article ID 109126, 25 p. (2020; Zbl 07504688) Full Text: DOI arXiv
Linga, Gaute; Bolet, Asger; Mathiesen, Joachim Transient electrohydrodynamic flow with concentration-dependent fluid properties: modelling and energy-stable numerical schemes. (English) Zbl 1436.76028 J. Comput. Phys. 412, Article ID 109430, 33 p. (2020). MSC: 76M10 76M20 76W05 78A57 PDFBibTeX XMLCite \textit{G. Linga} et al., J. Comput. Phys. 412, Article ID 109430, 33 p. (2020; Zbl 1436.76028) Full Text: DOI arXiv
Bonart, Henning; Kahle, Christian; Repke, Jens-Uwe Comparison of energy stable simulation of moving contact line problems using a thermodynamically consistent Cahn-Hilliard Navier-Stokes model. (English) Zbl 1453.76062 J. Comput. Phys. 399, Article ID 108959, 19 p. (2019). MSC: 76M10 76D45 76T10 PDFBibTeX XMLCite \textit{H. Bonart} et al., J. Comput. Phys. 399, Article ID 108959, 19 p. (2019; Zbl 1453.76062) Full Text: DOI arXiv
Zhao, Xueping; Wang, Qi A second order fully-discrete linear energy stable scheme for a binary compressible viscous fluid model. (English) Zbl 1452.76165 J. Comput. Phys. 395, 382-409 (2019). MSC: 76M20 76T17 65M12 65M06 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{Q. Wang}, J. Comput. Phys. 395, 382--409 (2019; Zbl 1452.76165) Full Text: DOI arXiv
Hou, Dianming; Azaiez, Mejdi; Xu, Chuanju A variant of scalar auxiliary variable approaches for gradient flows. (English) Zbl 1452.65197 J. Comput. Phys. 395, 307-332 (2019). MSC: 65M12 65M60 PDFBibTeX XMLCite \textit{D. Hou} et al., J. Comput. Phys. 395, 307--332 (2019; Zbl 1452.65197) Full Text: DOI
Huang, Qiong-Ao; Jiang, Wei; Yang, Jerry Zhijian An unconditionally energy stable scheme for simulating wrinkling phenomena of elastic thin films on a compliant substrate. (English) Zbl 1452.74117 J. Comput. Phys. 388, 123-143 (2019). MSC: 74S25 74K35 65M12 65M70 35B36 PDFBibTeX XMLCite \textit{Q.-A. Huang} et al., J. Comput. Phys. 388, 123--143 (2019; Zbl 1452.74117) Full Text: DOI
Yang, Zhiguo; Lin, Lianlei; Dong, Suchuan A family of second-order energy-stable schemes for Cahn-Hilliard type equations. (English) Zbl 1451.65129 J. Comput. Phys. 383, 24-54 (2019). MSC: 65M12 76T10 35B36 PDFBibTeX XMLCite \textit{Z. Yang} et al., J. Comput. Phys. 383, 24--54 (2019; Zbl 1451.65129) Full Text: DOI arXiv
Li, Jun; Zhao, Jia; Wang, Qi Energy and entropy preserving numerical approximations of thermodynamically consistent crystal growth models. (English) Zbl 1451.65109 J. Comput. Phys. 382, 202-220 (2019). MSC: 65M06 80A22 82C26 PDFBibTeX XMLCite \textit{J. Li} et al., J. Comput. Phys. 382, 202--220 (2019; Zbl 1451.65109) Full Text: DOI
Mu, Zhenguo; Gong, Yuezheng; Cai, Wenjun; Wang, Yushun Efficient local energy dissipation preserving algorithms for the Cahn-Hilliard equation. (English) Zbl 1416.65276 J. Comput. Phys. 374, 654-667 (2018). MSC: 65M06 76R50 76M20 PDFBibTeX XMLCite \textit{Z. Mu} et al., J. Comput. Phys. 374, 654--667 (2018; Zbl 1416.65276) Full Text: DOI
Joshi, Vaibhav; Jaiman, Rajeev K. A positivity preserving and conservative variational scheme for phase-field modeling of two-phase flows. (English) Zbl 1391.76651 J. Comput. Phys. 360, 137-166 (2018). MSC: 76M30 76M10 76T10 PDFBibTeX XMLCite \textit{V. Joshi} and \textit{R. K. Jaiman}, J. Comput. Phys. 360, 137--166 (2018; Zbl 1391.76651) Full Text: DOI arXiv
Shen, Jie; Xu, Jie; Yang, Jiang The scalar auxiliary variable (SAV) approach for gradient flows. (English) Zbl 1380.65181 J. Comput. Phys. 353, 407-416 (2018). MSC: 65M06 35Q35 PDFBibTeX XMLCite \textit{J. Shen} et al., J. Comput. Phys. 353, 407--416 (2018; Zbl 1380.65181) Full Text: DOI
Guillén-González, F.; Tierra, G. Unconditionally energy stable numerical schemes for phase-field vesicle membrane model. (English) Zbl 1380.76037 J. Comput. Phys. 354, 67-85 (2018). MSC: 76M10 76M20 76Z99 65N12 PDFBibTeX XMLCite \textit{F. Guillén-González} and \textit{G. Tierra}, J. Comput. Phys. 354, 67--85 (2018; Zbl 1380.76037) Full Text: DOI
Nochetto, Ricardo H.; Walker, Shawn W.; Zhang, Wujun The Ericksen model of liquid crystals with colloidal and electric effects. (English) Zbl 1375.82119 J. Comput. Phys. 352, 568-601 (2018). MSC: 82D30 65N30 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., J. Comput. Phys. 352, 568--601 (2018; Zbl 1375.82119) Full Text: DOI arXiv
Yang, Xiaofeng; Han, Daozhi Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model. (English) Zbl 1380.65209 J. Comput. Phys. 330, 1116-1134 (2017). MSC: 65M12 82D25 PDFBibTeX XMLCite \textit{X. Yang} and \textit{D. Han}, J. Comput. Phys. 330, 1116--1134 (2017; Zbl 1380.65209) Full Text: DOI
Cheng, Qing; Yang, Xiaofeng; Shen, Jie Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model. (English) Zbl 1380.65203 J. Comput. Phys. 341, 44-60 (2017). MSC: 65M12 76T99 82D60 PDFBibTeX XMLCite \textit{Q. Cheng} et al., J. Comput. Phys. 341, 44--60 (2017; Zbl 1380.65203) Full Text: DOI arXiv
Yang, Xiaofeng; Zhao, Jia; Wang, Qi Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method. (English) Zbl 1375.82121 J. Comput. Phys. 333, 104-127 (2017). MSC: 82D37 35Q82 65M99 PDFBibTeX XMLCite \textit{X. Yang} et al., J. Comput. Phys. 333, 104--127 (2017; Zbl 1375.82121) Full Text: DOI
Shin, Jaemin; Lee, Hyun Geun; Lee, June-Yub First and second order numerical methods based on a new convex splitting for phase-field crystal equation. (English) Zbl 1373.82097 J. Comput. Phys. 327, 519-542 (2016). MSC: 82D25 PDFBibTeX XMLCite \textit{J. Shin} et al., J. Comput. Phys. 327, 519--542 (2016; Zbl 1373.82097) Full Text: DOI
Yang, Xiaofeng Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends. (English) Zbl 1373.82106 J. Comput. Phys. 327, 294-316 (2016). MSC: 82D60 82C80 PDFBibTeX XMLCite \textit{X. Yang}, J. Comput. Phys. 327, 294--316 (2016; Zbl 1373.82106) Full Text: DOI
Dai, Shibin; Du, Qiang Computational studies of coarsening rates for the Cahn-Hilliard equation with phase-dependent diffusion mobility. (English) Zbl 1349.80043 J. Comput. Phys. 310, 85-108 (2016). MSC: 80M22 65M70 80A22 PDFBibTeX XMLCite \textit{S. Dai} and \textit{Q. Du}, J. Comput. Phys. 310, 85--108 (2016; Zbl 1349.80043) Full Text: DOI
Tavakoli, Rouhollah Unconditionally energy stable time stepping scheme for Cahn-Morral equation: application to multi-component spinodal decomposition and optimal space tiling. (English) Zbl 1349.80047 J. Comput. Phys. 304, 441-464 (2016). MSC: 80M25 65M70 80A22 35Q79 PDFBibTeX XMLCite \textit{R. Tavakoli}, J. Comput. Phys. 304, 441--464 (2016; Zbl 1349.80047) Full Text: DOI
Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao Fast and stable explicit operator splitting methods for phase-field models. (English) Zbl 1349.80038 J. Comput. Phys. 303, 45-65 (2015). MSC: 80M20 65M06 65M12 65M70 80A22 PDFBibTeX XMLCite \textit{Y. Cheng} et al., J. Comput. Phys. 303, 45--65 (2015; Zbl 1349.80038) Full Text: DOI
Tavakoli, Rouhollah Computationally efficient approach for the minimization of volume constrained vector-valued Ginzburg-Landau energy functional. (English) Zbl 1349.65199 J. Comput. Phys. 295, 355-378 (2015). MSC: 65K10 35Q56 PDFBibTeX XMLCite \textit{R. Tavakoli}, J. Comput. Phys. 295, 355--378 (2015; Zbl 1349.65199) Full Text: DOI
Ramaswamy, Rajesh; Bourantas, George; Jülicher, Frank; Sbalzarini, Ivo F. A hybrid particle-mesh method for incompressible active polar viscous gels. (English) Zbl 1349.76524 J. Comput. Phys. 291, 334-361 (2015). MSC: 76M20 76M28 65N06 76T99 PDFBibTeX XMLCite \textit{R. Ramaswamy} et al., J. Comput. Phys. 291, 334--361 (2015; Zbl 1349.76524) Full Text: DOI
Badia, Santiago; Martín, Alberto F.; Planas, Ramon Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem. (English) Zbl 1351.76046 J. Comput. Phys. 274, 562-591 (2014). MSC: 76M10 78M10 65M22 65F08 76W05 78A25 78A30 78A35 PDFBibTeX XMLCite \textit{S. Badia} et al., J. Comput. Phys. 274, 562--591 (2014; Zbl 1351.76046) Full Text: DOI Link
Gomez, Hector; Reali, Alessandro; Sangalli, Giancarlo Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models. (English) Zbl 1349.82084 J. Comput. Phys. 262, 153-171 (2014). MSC: 82C80 65M70 76M22 76Txx 82C26 PDFBibTeX XMLCite \textit{H. Gomez} et al., J. Comput. Phys. 262, 153--171 (2014; Zbl 1349.82084) Full Text: DOI
Cruz, Pedro A.; Tomé, Murilo F.; Stewart, Iain W.; McKee, Sean Numerical solution of the Ericksen-Leslie dynamic equations for two-dimensional nematic liquid crystal flows. (English) Zbl 1349.76447 J. Comput. Phys. 247, 109-136 (2013). MSC: 76M20 82C80 65N06 76A15 82D30 PDFBibTeX XMLCite \textit{P. A. Cruz} et al., J. Comput. Phys. 247, 109--136 (2013; Zbl 1349.76447) Full Text: DOI
Badia, Santiago; Guillén-González, Francisco; Gutiérrez-Santacreu, Juan Vicente Finite element approximation of nematic liquid crystal flows using a saddle-point structure. (English) Zbl 1211.82056 J. Comput. Phys. 230, No. 4, 1686-1706 (2011). MSC: 82D30 35Q56 82-08 65M60 PDFBibTeX XMLCite \textit{S. Badia} et al., J. Comput. Phys. 230, No. 4, 1686--1706 (2011; Zbl 1211.82056) Full Text: DOI Link