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
Acar, Rüyam A topology constrained phase field model. (English) Zbl 07797643 J. Comput. Phys. 498, Article ID 112664, 14 p. (2024). MSC: 35Kxx 35Qxx 68Uxx PDFBibTeX XMLCite \textit{R. Acar}, J. Comput. Phys. 498, Article ID 112664, 14 p. (2024; Zbl 07797643) Full Text: DOI
Mirjalili, Shahab; Mani, Ali A conservative second order phase field model for simulation of \(N\)-phase flows. (English) Zbl 07797636 J. Comput. Phys. 498, Article ID 112657, 27 p. (2024). MSC: 76Mxx 76Txx 65Mxx PDFBibTeX XMLCite \textit{S. Mirjalili} and \textit{A. Mani}, J. Comput. Phys. 498, Article ID 112657, 27 p. (2024; Zbl 07797636) Full Text: DOI
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
Wang, Minmiao; Jagad, Pankaj; Hirani, Anil N.; Samtaney, Ravi Discrete exterior calculus discretization of two-phase incompressible Navier-Stokes equations with a conservative phase field method. (English) Zbl 07697001 J. Comput. Phys. 488, Article ID 112245, 29 p. (2023). MSC: 76Mxx 76Txx 65Mxx PDFBibTeX XMLCite \textit{M. Wang} et al., J. Comput. Phys. 488, Article ID 112245, 29 p. (2023; Zbl 07697001) Full Text: DOI arXiv
Hou, Dianming; Ning, Yuexin; Zhang, Chao An efficient and robust Lagrange multiplier approach with a penalty term for phase-field models. (English) Zbl 07696992 J. Comput. Phys. 488, Article ID 112236, 21 p. (2023). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{D. Hou} et al., J. Comput. Phys. 488, Article ID 112236, 21 p. (2023; Zbl 07696992) Full Text: DOI
Huang, Ziyang; Johnsen, Eric A consistent and conservative phase-field method for compressible multiphase flows with shocks. (English) Zbl 07696968 J. Comput. Phys. 488, Article ID 112195, 29 p. (2023). MSC: 76Mxx 65Mxx 76Txx PDFBibTeX XMLCite \textit{Z. Huang} and \textit{E. Johnsen}, J. Comput. Phys. 488, Article ID 112195, 29 p. (2023; Zbl 07696968) Full Text: DOI
Rath, Biswajeet; Mao, Xiaoyu; Jaiman, Rajeev K. An interface preserving and residual-based adaptivity for phase-field modeling of fully Eulerian fluid-structure interaction. (English) Zbl 07696961 J. Comput. Phys. 488, Article ID 112188, 30 p. (2023). MSC: 76Mxx 65Nxx 74Fxx PDFBibTeX XMLCite \textit{B. Rath} et al., J. Comput. Phys. 488, Article ID 112188, 30 p. (2023; Zbl 07696961) Full Text: DOI
Li, Kangan; Mehmani, Yashar A pore-level multiscale method for the elastic deformation of fractured porous media. (English) Zbl 07679180 J. Comput. Phys. 483, Article ID 112074, 23 p. (2023). MSC: 65Nxx 76Mxx 76Sxx PDFBibTeX XMLCite \textit{K. Li} and \textit{Y. Mehmani}, J. Comput. Phys. 483, Article ID 112074, 23 p. (2023; Zbl 07679180) Full Text: DOI
Wang, Xiang Stabilized enhancement for large time computation using exponential spectral process method. (English) Zbl 07679172 J. Comput. Phys. 482, Article ID 112058, 20 p. (2023). MSC: 65Mxx 65Lxx 35Kxx PDFBibTeX XMLCite \textit{X. Wang}, J. Comput. Phys. 482, Article ID 112058, 20 p. (2023; Zbl 07679172) Full Text: DOI
Zhang, Chunhua; Wang, Lian-Ping; Liang, Hong; Guo, Zhaoli Central-moment discrete unified gas-kinetic scheme for incompressible two-phase flows with large density ratio. (English) Zbl 07679168 J. Comput. Phys. 482, Article ID 112040, 37 p. (2023). MSC: 76Mxx 76Txx 76Dxx PDFBibTeX XMLCite \textit{C. Zhang} et al., J. Comput. Phys. 482, Article ID 112040, 37 p. (2023; Zbl 07679168) Full Text: DOI arXiv
Mo, Hanyang; Yong, Yumei; Yu, Kang; Chen, Wenqiang; Dai, Jialin; Yang, Chao An integrated lattice-Boltzmann model of immiscible two-phase flow and bulk mass transfer with Marangoni effect. (English) Zbl 07679160 J. Comput. Phys. 481, Article ID 112037, 25 p. (2023). MSC: 76Mxx 76Txx 76Dxx PDFBibTeX XMLCite \textit{H. Mo} et al., J. Comput. Phys. 481, Article ID 112037, 25 p. (2023; Zbl 07679160) Full Text: DOI
Mao, Xiaoyu; Jaiman, Rajeev An interface and geometry preserving phase-field method for fully Eulerian fluid-structure interaction. (English) Zbl 07652788 J. Comput. Phys. 476, Article ID 111903, 26 p. (2023). MSC: 76Mxx 74Fxx 74Sxx PDFBibTeX XMLCite \textit{X. Mao} and \textit{R. Jaiman}, J. Comput. Phys. 476, Article ID 111903, 26 p. (2023; Zbl 07652788) Full Text: DOI arXiv
Jain, Suhas S.; Mani, Ali A computational model for transport of immiscible scalars in two-phase flows. (English) Zbl 07652776 J. Comput. Phys. 476, Article ID 111843, 25 p. (2023). MSC: 76Mxx 76Dxx 76Txx PDFBibTeX XMLCite \textit{S. S. Jain} and \textit{A. Mani}, J. Comput. Phys. 476, Article ID 111843, 25 p. (2023; Zbl 07652776) Full Text: DOI
Mirjalili, Shahab; Khanwale, Makrand A.; Mani, Ali Assessment of an energy-based surface tension model for simulation of two-phase flows using second-order phase field methods. (English) Zbl 07640552 J. Comput. Phys. 474, Article ID 111795, 9 p. (2023). MSC: 76Mxx 76Dxx 76Txx PDFBibTeX XMLCite \textit{S. Mirjalili} et al., J. Comput. Phys. 474, Article ID 111795, 9 p. (2023; Zbl 07640552) Full Text: DOI arXiv
Schwarzmeier, Christoph; Holzer, Markus; Mitchell, Travis; Lehmann, Moritz; Häusl, Fabian; Rüde, Ulrich Comparison of free-surface and conservative Allen-Cahn phase-field lattice Boltzmann method. (English) Zbl 07625422 J. Comput. Phys. 473, Article ID 111753, 33 p. (2023). MSC: 76Mxx 76Txx 76Bxx PDFBibTeX XMLCite \textit{C. Schwarzmeier} et al., J. Comput. Phys. 473, Article ID 111753, 33 p. (2023; Zbl 07625422) Full Text: DOI arXiv
Xu, Jiacheng; Hu, Dan; Zhou, Han A phase-field method for elastic mechanics with large deformation. (English) Zbl 07605600 J. Comput. Phys. 471, Article ID 111630, 17 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{J. Xu} et al., J. Comput. Phys. 471, Article ID 111630, 17 p. (2022; Zbl 07605600) Full Text: DOI
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. Implementing contact angle boundary conditions for second-order phase-field models of wall-bounded multiphase flows. (English) Zbl 07605590 J. Comput. Phys. 471, Article ID 111619, 27 p. (2022). MSC: 76Mxx 76Txx 76Dxx PDFBibTeX XMLCite \textit{Z. Huang} et al., J. Comput. Phys. 471, Article ID 111619, 27 p. (2022; Zbl 07605590) Full Text: DOI arXiv
Bretin, Elie; Denis, Roland; Masnou, Simon; Terii, Garry Learning phase field mean curvature flows with neural networks. (English) Zbl 07599612 J. Comput. Phys. 470, Article ID 111579, 28 p. (2022). MSC: 65Mxx 35Kxx 49Qxx PDFBibTeX XMLCite \textit{E. Bretin} et al., J. Comput. Phys. 470, Article ID 111579, 28 p. (2022; Zbl 07599612) Full Text: DOI arXiv
Khimin, D.; Steinbach, M. C.; Wick, T. Space-time formulation, discretization, and computational performance studies for phase-field fracture optimal control problems. (English) Zbl 07599599 J. Comput. Phys. 470, Article ID 111554, 32 p. (2022). MSC: 74Rxx 74Sxx 65Nxx PDFBibTeX XMLCite \textit{D. Khimin} et al., J. Comput. Phys. 470, Article ID 111554, 32 p. (2022; Zbl 07599599) Full Text: DOI arXiv
Jain, Suhas S. Accurate conservative phase-field method for simulation of two-phase flows. (English) Zbl 07592133 J. Comput. Phys. 469, Article ID 111529, 18 p. (2022). MSC: 76Mxx 76Dxx 76Txx PDFBibTeX XMLCite \textit{S. S. Jain}, J. Comput. Phys. 469, Article ID 111529, 18 p. (2022; Zbl 07592133) Full Text: DOI arXiv
Yu, Bing; Zheng, Xiangcheng; Zhang, Pingwen; Zhang, Lei Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm. (English) Zbl 07578919 J. Comput. Phys. 468, Article ID 111513, 16 p. (2022). MSC: 65Mxx 65Nxx 35Rxx PDFBibTeX XMLCite \textit{B. Yu} et al., J. Comput. Phys. 468, Article ID 111513, 16 p. (2022; Zbl 07578919) Full Text: DOI arXiv
Yang, Xiaofeng; He, Xiaoming Numerical approximations of flow coupled binary phase field crystal system: fully discrete finite element scheme with second-order temporal accuracy and decoupling structure. (English) Zbl 07568550 J. Comput. Phys. 467, Article ID 111448, 24 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{X. Yang} and \textit{X. He}, J. Comput. Phys. 467, Article ID 111448, 24 p. (2022; Zbl 07568550) Full Text: DOI
Tan, Zhijun; Wu, Jingwen; Yang, Junxiang Efficient and practical phase-field method for the incompressible multi-component fluids on 3D surfaces with arbitrary shapes. (English) Zbl 07568547 J. Comput. Phys. 467, Article ID 111444, 26 p. (2022). MSC: 65Mxx 76Mxx 35Kxx PDFBibTeX XMLCite \textit{Z. Tan} et al., J. Comput. Phys. 467, Article ID 111444, 26 p. (2022; Zbl 07568547) Full Text: DOI
Yu, Qian; Xia, Qing; Li, Yibao A phase field-based systematic multiscale topology optimization method for porous structures design. (English) Zbl 07561066 J. Comput. Phys. 466, Article ID 111383, 21 p. (2022). MSC: 74Pxx 74Exx 74Sxx PDFBibTeX XMLCite \textit{Q. Yu} et al., J. Comput. Phys. 466, Article ID 111383, 21 p. (2022; Zbl 07561066) Full Text: DOI
Qin, Yuzhe; Huang, Huaxiong; Zhu, Yi; Liu, Chun; Xu, Shixin A phase field model for mass transport with semi-permeable interfaces. (English) Zbl 07540367 J. Comput. Phys. 464, Article ID 111334, 23 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{Y. Qin} et al., J. Comput. Phys. 464, Article ID 111334, 23 p. (2022; Zbl 07540367) Full Text: DOI arXiv
Jain, Suhas S.; Moin, Parviz A kinetic energy-and entropy-preserving scheme for compressible two-phase flows. (English) Zbl 07540354 J. Comput. Phys. 464, Article ID 111307, 25 p. (2022). MSC: 76Mxx 76Fxx 65Mxx PDFBibTeX XMLCite \textit{S. S. Jain} and \textit{P. Moin}, J. Comput. Phys. 464, Article ID 111307, 25 p. (2022; Zbl 07540354) Full Text: DOI arXiv
Da, Daicong Model reduction on 3D fracture resistance design. (English) Zbl 07536773 J. Comput. Phys. 463, Article ID 111274, 19 p. (2022). MSC: 74Rxx 65Mxx 74Sxx PDFBibTeX XMLCite \textit{D. Da}, J. Comput. Phys. 463, Article ID 111274, 19 p. (2022; Zbl 07536773) Full Text: DOI
Zhang, Wenqiang; Shahmardi, Armin; Choi, Kwing-so; Tammisola, Outi; Brandt, Luca; Mao, Xuerui A phase-field method for three-phase flows with icing. (English) Zbl 07527729 J. Comput. Phys. 458, Article ID 111104, 19 p. (2022). MSC: 76Mxx 76Dxx 76Txx PDFBibTeX XMLCite \textit{W. Zhang} et al., J. Comput. Phys. 458, Article ID 111104, 19 p. (2022; Zbl 07527729) Full Text: DOI
Ntoukas, Gerasimos; Manzanero, Juan; Rubio, Gonzalo; Valero, Eusebio; Ferrer, Esteban An entropy-stable p-adaptive nodal discontinuous Galerkin for the coupled Navier-Stokes/Cahn-Hilliard system. (English) Zbl 07527720 J. Comput. Phys. 458, Article ID 111093, 33 p. (2022). MSC: 65Mxx 76Mxx 76Txx PDFBibTeX XMLCite \textit{G. Ntoukas} et al., J. Comput. Phys. 458, Article ID 111093, 33 p. (2022; Zbl 07527720) Full Text: DOI
Cheng, Qing; Delafrouz, Pourya; Liang, Jie; Liu, Chun; Shen, Jie Modeling and simulation of cell nuclear architecture reorganization process. (English) Zbl 07524801 J. Comput. Phys. 449, Article ID 110808, 19 p. (2022). MSC: 65Mxx 92Cxx 35Kxx PDFBibTeX XMLCite \textit{Q. Cheng} et al., J. Comput. Phys. 449, Article ID 110808, 19 p. (2022; Zbl 07524801) Full Text: DOI arXiv
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. A consistent and conservative phase-field model for thermo-gas-liquid-solid flows including liquid-solid phase change. (English) Zbl 07524791 J. Comput. Phys. 449, Article ID 110795, 23 p. (2022). MSC: 76Mxx 76Txx 65Mxx PDFBibTeX XMLCite \textit{Z. Huang} et al., J. Comput. Phys. 449, Article ID 110795, 23 p. (2022; Zbl 07524791) Full Text: DOI arXiv
Liu, Chen; Ray, Deep; Thiele, Christopher; Lin, Lu; Riviere, Beatrice A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows. (English) Zbl 07524769 J. Comput. Phys. 449, Article ID 110769, 20 p. (2022). MSC: 76Mxx 76Dxx 65Mxx PDFBibTeX XMLCite \textit{C. Liu} et al., J. Comput. Phys. 449, Article ID 110769, 20 p. (2022; Zbl 07524769) Full Text: DOI arXiv
Ji, Kaihua; Tabrizi, Amirhossein Molavi; Karma, Alain Isotropic finite-difference approximations for phase-field simulations of polycrystalline alloy solidification. (English) Zbl 1515.74076 J. Comput. Phys. 457, Article ID 111069, 24 p. (2022). MSC: 74S20 65M06 PDFBibTeX XMLCite \textit{K. Ji} et al., J. Comput. Phys. 457, Article ID 111069, 24 p. (2022; Zbl 1515.74076) 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
Yang, Junxiang; Tan, Zhijun; Kim, Junseok Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach. (English) Zbl 07517738 J. Comput. Phys. 452, Article ID 110909, 31 p. (2022). MSC: 65Mxx 76Mxx 76Txx PDFBibTeX XMLCite \textit{J. Yang} et al., J. Comput. Phys. 452, Article ID 110909, 31 p. (2022; Zbl 07517738) Full Text: DOI
Ghosh, Supriyo; Newman, Christopher K.; Francois, Marianne M. Tusas: a fully implicit parallel approach for coupled phase-field equations. (English) Zbl 07516818 J. Comput. Phys. 448, Article ID 110734, 19 p. (2022). MSC: 65Fxx 65Hxx 76Mxx PDFBibTeX XMLCite \textit{S. Ghosh} et al., J. Comput. Phys. 448, Article ID 110734, 19 p. (2022; Zbl 07516818) Full Text: DOI arXiv
Liu, Hao-Ran; Ng, Chong Shen; Chong, Kai Leong; Lohse, Detlef; Verzicco, Roberto An efficient phase-field method for turbulent multiphase flows. (English) Zbl 07516469 J. Comput. Phys. 446, Article ID 110659, 15 p. (2021). MSC: 76Mxx 76Fxx 76Txx PDFBibTeX XMLCite \textit{H.-R. Liu} et al., J. Comput. Phys. 446, Article ID 110659, 15 p. (2021; Zbl 07516469) Full Text: DOI arXiv
Liu, Zhengguang; Li, Xiaoli A highly efficient and accurate exponential semi-implicit scalar auxiliary variable (ESI-SAV) approach for dissipative system. (English) Zbl 07516444 J. Comput. Phys. 447, Article ID 110703, 21 p. (2021). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{Z. Liu} and \textit{X. Li}, J. Comput. Phys. 447, Article ID 110703, 21 p. (2021; Zbl 07516444) Full Text: DOI arXiv
Matsushita, Shintaro; Aoki, Takayuki Gas-liquid two-phase flows simulation based on weakly compressible scheme with interface-adapted AMR method. (English) Zbl 07515861 J. Comput. Phys. 445, Article ID 110605, 33 p. (2021). MSC: 76Mxx 65Mxx 76Txx PDFBibTeX XMLCite \textit{S. Matsushita} and \textit{T. Aoki}, J. Comput. Phys. 445, Article ID 110605, 33 p. (2021; Zbl 07515861) Full Text: DOI
Zhao, Jia; Han, Daozhi Second-order decoupled energy-stable schemes for Cahn-Hilliard-Navier-Stokes equations. (English) Zbl 07515435 J. Comput. Phys. 443, Article ID 110536, 30 p. (2021). MSC: 65Mxx 76Mxx 35Qxx PDFBibTeX XMLCite \textit{J. Zhao} and \textit{D. Han}, J. Comput. Phys. 443, Article ID 110536, 30 p. (2021; Zbl 07515435) Full Text: DOI arXiv
Shahmardi, Armin; Rosti, Marco Edoardo; Tammisola, Outi; Brandt, Luca A fully Eulerian hybrid immersed boundary-phase field model for contact line dynamics on complex geometries. (English) Zbl 07515406 J. Comput. Phys. 443, Article ID 110468, 23 p. (2021). MSC: 76Mxx 76Dxx 76Txx PDFBibTeX XMLCite \textit{A. Shahmardi} et al., J. Comput. Phys. 443, Article ID 110468, 23 p. (2021; Zbl 07515406) Full Text: DOI arXiv
Zhao, Hongbo; Braatz, Richard D.; Bazant, Martin Z. Image inversion and uncertainty quantification for constitutive laws of pattern formation. (English) Zbl 07513843 J. Comput. Phys. 436, Article ID 110279, 22 p. (2021). MSC: 68Txx 35Qxx 65Lxx PDFBibTeX XMLCite \textit{H. Zhao} et al., J. Comput. Phys. 436, Article ID 110279, 22 p. (2021; Zbl 07513843) Full Text: DOI arXiv
Lu, Song; Xu, Xianmin An efficient diffusion generated motion method for wetting dynamics. (English) Zbl 07513830 J. Comput. Phys. 441, Article ID 110476, 25 p. (2021). MSC: 65Mxx 35Kxx 76Mxx PDFBibTeX XMLCite \textit{S. Lu} and \textit{X. Xu}, J. Comput. Phys. 441, Article ID 110476, 25 p. (2021; Zbl 07513830) Full Text: DOI arXiv
Valseth, Eirik; Romkes, Albert; Kaul, Austin R. A stable FE method for the space-time solution of the Cahn-Hilliard equation. (English) Zbl 07513816 J. Comput. Phys. 441, Article ID 110426, 21 p. (2021). MSC: 65Nxx 65Mxx 35Kxx PDFBibTeX XMLCite \textit{E. Valseth} et al., J. Comput. Phys. 441, Article ID 110426, 21 p. (2021; Zbl 07513816) Full Text: DOI arXiv
Ntoukas, Gerasimos; Manzanero, Juan; Rubio, Gonzalo; Valero, Eusebio; Ferrer, Esteban A free-energy stable p-adaptive nodal discontinuous Galerkin for the Cahn-Hilliard equation. (English) Zbl 07513792 J. Comput. Phys. 442, Article ID 110409, 31 p. (2021). MSC: 65Mxx 76Mxx 76Txx PDFBibTeX XMLCite \textit{G. Ntoukas} et al., J. Comput. Phys. 442, Article ID 110409, 31 p. (2021; Zbl 07513792) Full Text: DOI
Haghani-Hassan-Abadi, Reza; Fakhari, Abbas; Rahimian, Mohammad-Hassan Phase-change modeling based on a novel conservative phase-field method. (English) Zbl 07511679 J. Comput. Phys. 432, Article ID 110111, 22 p. (2021). MSC: 76Mxx 76Txx 76Dxx PDFBibTeX XMLCite \textit{R. Haghani-Hassan-Abadi} et al., J. Comput. Phys. 432, Article ID 110111, 22 p. (2021; Zbl 07511679) Full Text: DOI
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
Yang, Kai; Aoki, Takayuki Weakly compressible Navier-Stokes solver based on evolving pressure projection method for two-phase flow simulations. (English) Zbl 07511446 J. Comput. Phys. 431, Article ID 110113, 22 p. (2021). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{K. Yang} and \textit{T. Aoki}, J. Comput. Phys. 431, Article ID 110113, 22 p. (2021; Zbl 07511446) Full Text: DOI
Mirjalili, Shahab; Mani, Ali Consistent, energy-conserving momentum transport for simulations of two-phase flows using the phase field equations. (English) Zbl 1515.76113 J. Comput. Phys. 426, Article ID 109918, 19 p. (2021); corrigendum ibid. 457, Article ID 111020, 1 p. (2022). MSC: 76M20 76T10 PDFBibTeX XMLCite \textit{S. Mirjalili} and \textit{A. Mani}, J. Comput. Phys. 426, Article ID 109918, 19 p. (2021; Zbl 1515.76113) Full Text: DOI arXiv
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. A consistent and conservative model and its scheme for \(N\)-phase-\(M\)-component incompressible flows. (English) Zbl 07508530 J. Comput. Phys. 434, Article ID 110229, 31 p. (2021). MSC: 76Mxx 76Txx 65Mxx PDFBibTeX XMLCite \textit{Z. Huang} et al., J. Comput. Phys. 434, Article ID 110229, 31 p. (2021; Zbl 07508530) Full Text: DOI arXiv
Hajabdollahi, Farzaneh; Premnath, Kannan N.; Welch, Samuel W. J. Central moment lattice Boltzmann method using a pressure-based formulation for multiphase flows at high density ratios and including effects of surface tension and Marangoni stresses. (English) Zbl 07508491 J. Comput. Phys. 425, Article ID 109893, 25 p. (2021). MSC: 76-XX 74-XX PDFBibTeX XMLCite \textit{F. Hajabdollahi} et al., J. Comput. Phys. 425, Article ID 109893, 25 p. (2021; Zbl 07508491) Full Text: DOI arXiv
Al-Salami, Jabir; Kamra, Mohamed M.; Hu, Changhong A high order flux reconstruction interface capturing method with a phase field preconditioning procedure. (English) Zbl 07505968 J. Comput. Phys. 438, Article ID 110376, 23 p. (2021). MSC: 76Mxx 65Mxx 76Txx PDFBibTeX XMLCite \textit{J. Al-Salami} et al., J. Comput. Phys. 438, Article ID 110376, 23 p. (2021; Zbl 07505968) Full Text: DOI arXiv
Yang, Xiaofeng Efficient and energy stable scheme for the hydrodynamically coupled three components Cahn-Hilliard phase-field model using the stabilized-invariant energy quadratization (S-IEQ) approach. (English) Zbl 07505949 J. Comput. Phys. 438, Article ID 110342, 24 p. (2021). MSC: 65Mxx 35Kxx 76Dxx PDFBibTeX XMLCite \textit{X. Yang}, J. Comput. Phys. 438, Article ID 110342, 24 p. (2021; Zbl 07505949) Full Text: DOI
Wang, Zhicheng; Zheng, Xiaoning; Chryssostomidis, Chryssostomos; Karniadakis, George Em A phase-field method for boiling heat transfer. (English) Zbl 07503725 J. Comput. Phys. 435, Article ID 110239, 19 p. (2021). MSC: 76Mxx 76Txx 76Dxx PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Comput. Phys. 435, Article ID 110239, 19 p. (2021; Zbl 07503725) Full Text: DOI
Mao, Xiaoyu; Joshi, Vaibhav; Jaiman, Rajeev A variational interface-preserving and conservative phase-field method for the surface tension effect in two-phase flows. (English) Zbl 1515.76099 J. Comput. Phys. 433, Article ID 110166, 31 p. (2021). MSC: 76M10 65M60 76T10 76D45 PDFBibTeX XMLCite \textit{X. Mao} et al., J. Comput. Phys. 433, Article ID 110166, 31 p. (2021; Zbl 1515.76099) Full Text: DOI arXiv
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
Zhou, Y. C.; Argudo, David; Marcoline, Frank V.; Grabe, Michael A computational model of protein induced membrane morphology with geodesic curvature driven protein-membrane interface. (English) Zbl 07508382 J. Comput. Phys. 422, Article ID 109755, 16 p. (2020). MSC: 92-XX 74-XX PDFBibTeX XMLCite \textit{Y. C. Zhou} et al., J. Comput. Phys. 422, Article ID 109755, 16 p. (2020; Zbl 07508382) Full Text: DOI arXiv Link
Svolos, Lampros; Berger-Vergiat, Luc; Waisman, Haim Updating strategy of a domain decomposition preconditioner for parallel solution of dynamic fracture problems. (English) Zbl 07508378 J. Comput. Phys. 422, Article ID 109746, 43 p. (2020). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{L. Svolos} et al., J. Comput. Phys. 422, Article ID 109746, 43 p. (2020; Zbl 07508378) Full Text: DOI
Vorobev, A.; Prokopev, S.; Lyubimova, T. Phase-field modelling of a liquid/liquid immiscible displacement through a network of capillaries. (English) Zbl 07508368 J. Comput. Phys. 421, Article ID 109747, 22 p. (2020). MSC: 76-XX 74-XX PDFBibTeX XMLCite \textit{A. Vorobev} et al., J. Comput. Phys. 421, Article ID 109747, 22 p. (2020; Zbl 07508368) 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
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model. (English) Zbl 07506632 J. Comput. Phys. 420, Article ID 109718, 34 p. (2020). MSC: 76-XX 82-XX PDFBibTeX XMLCite \textit{Z. Huang} et al., J. Comput. Phys. 420, Article ID 109718, 34 p. (2020; Zbl 07506632) Full Text: DOI
Jain, Suhas S.; Mani, Ali; Moin, Parviz A conservative diffuse-interface method for compressible two-phase flows. (English) Zbl 07506170 J. Comput. Phys. 418, Article ID 109606, 32 p. (2020). MSC: 76-XX 74-XX PDFBibTeX XMLCite \textit{S. S. Jain} et al., J. Comput. Phys. 418, Article ID 109606, 32 p. (2020; Zbl 07506170) Full Text: DOI arXiv
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. Consistent, essentially conservative and balanced-force phase-field method to model incompressible two-phase flows. (English) Zbl 1453.76131 J. Comput. Phys. 406, Article ID 109192, 44 p. (2020). MSC: 76M20 76T10 76D05 PDFBibTeX XMLCite \textit{Z. Huang} et al., J. Comput. Phys. 406, Article ID 109192, 44 p. (2020; Zbl 1453.76131) Full Text: DOI
Gao, Huadong; Ju, Lili; Li, Xiao; Duddu, Ravindra A space-time adaptive finite element method with exponential time integrator for the phase field model of pitting corrosion. (English) Zbl 1453.65317 J. Comput. Phys. 406, Article ID 109191, 20 p. (2020). MSC: 65M60 65Z05 74S05 65M50 74E05 74M25 PDFBibTeX XMLCite \textit{H. Gao} et al., J. Comput. Phys. 406, Article ID 109191, 20 p. (2020; Zbl 1453.65317) Full Text: DOI
Shen, Lingyue; Huang, Huaxiong; Lin, Ping; Song, Zilong; Xu, Shixin An energy stable \(C^0\) finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density. (English) Zbl 1453.65343 J. Comput. Phys. 405, Article ID 109179, 27 p. (2020). MSC: 65M60 76M10 76T06 76T10 PDFBibTeX XMLCite \textit{L. Shen} et al., J. Comput. Phys. 405, Article ID 109179, 27 p. (2020; Zbl 1453.65343) Full Text: DOI arXiv
Zhu, Guangpu; Kou, Jisheng; Yao, Jun; Li, Aifen; Sun, Shuyu A phase-field moving contact line model with soluble surfactants. (English) Zbl 1453.76146 J. Comput. Phys. 405, Article ID 109170, 29 p. (2020). MSC: 76M20 76D05 76T06 76D45 65M06 65Z05 65M12 PDFBibTeX XMLCite \textit{G. Zhu} et al., J. Comput. Phys. 405, Article ID 109170, 29 p. (2020; Zbl 1453.76146) Full Text: DOI Link
Zhang, Jun; Yang, Xiaofeng Decoupled, non-iterative, and unconditionally energy stable large time stepping method for the three-phase Cahn-Hilliard phase-field model. (English) Zbl 1453.76223 J. Comput. Phys. 404, Article ID 109115, 26 p. (2020). MSC: 76T30 76M30 76B45 65M12 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{X. Yang}, J. Comput. Phys. 404, Article ID 109115, 26 p. (2020; Zbl 1453.76223) Full Text: DOI
Mirjalili, Shahab; Ivey, Christopher B.; Mani, Ali A conservative diffuse interface method for two-phase flows with provable boundedness properties. (English) Zbl 1453.76136 J. Comput. Phys. 401, Article ID 109006, 21 p. (2020). MSC: 76M20 65M12 76T06 65M06 PDFBibTeX XMLCite \textit{S. Mirjalili} et al., J. Comput. Phys. 401, Article ID 109006, 21 p. (2020; Zbl 1453.76136) 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
Nguyen, Lam H.; Schillinger, Dominik The multiscale finite element method for nonlinear continuum localization problems at full fine-scale fidelity, illustrated through phase-field fracture and plasticity. (English) Zbl 1452.74110 J. Comput. Phys. 396, 129-160 (2019). MSC: 74S05 74R10 65N30 65N55 65Z05 PDFBibTeX XMLCite \textit{L. H. Nguyen} and \textit{D. Schillinger}, J. Comput. Phys. 396, 129--160 (2019; Zbl 1452.74110) Full Text: DOI
Yang, Zhiguo; Dong, Suchuan An unconditionally energy-stable scheme based on an implicit auxiliary energy variable for incompressible two-phase flows with different densities involving only precomputable coefficient matrices. (English) Zbl 1452.76244 J. Comput. Phys. 393, 229-257 (2019). MSC: 76T06 65M22 76M20 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{S. Dong}, J. Comput. Phys. 393, 229--257 (2019; Zbl 1452.76244) Full Text: DOI arXiv
Chiu, Pao-Hsiung A coupled phase field framework for solving incompressible two-phase flows. (English) Zbl 1452.76112 J. Comput. Phys. 392, 115-140 (2019). MSC: 76M12 76T06 65M08 65Z05 PDFBibTeX XMLCite \textit{P.-H. Chiu}, J. Comput. Phys. 392, 115--140 (2019; Zbl 1452.76112) Full Text: DOI
Chen, Chuanjun; Yang, Xiaofeng Efficient numerical scheme for a dendritic solidification phase field model with melt convection. (English) Zbl 1452.65195 J. Comput. Phys. 388, 41-62 (2019). MSC: 65M12 76T99 82C26 65Z05 76D05 PDFBibTeX XMLCite \textit{C. Chen} and \textit{X. Yang}, J. Comput. Phys. 388, 41--62 (2019; Zbl 1452.65195) Full Text: DOI
Nguyen, Thanh-Tung; Waldmann, Danièle; Bui, Tinh Quoc Role of interfacial transition zone in phase field modeling of fracture in layered heterogeneous structures. (English) Zbl 1452.74111 J. Comput. Phys. 386, 585-610 (2019). MSC: 74S05 74R10 74E30 65N30 PDFBibTeX XMLCite \textit{T.-T. Nguyen} et al., J. Comput. Phys. 386, 585--610 (2019; Zbl 1452.74111) Full Text: DOI Link
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
Soligo, Giovanni; Roccon, Alessio; Soldati, Alfredo Coalescence of surfactant-laden drops by phase field method. (English) Zbl 1416.76321 J. Comput. Phys. 376, 1292-1311 (2019). MSC: 76T10 76D45 76M25 PDFBibTeX XMLCite \textit{G. Soligo} et al., J. Comput. Phys. 376, 1292--1311 (2019; Zbl 1416.76321) Full Text: DOI arXiv
Matsushita, Shintaro; Aoki, Takayuki A weakly compressible scheme with a diffuse-interface method for low Mach number two-phase flows. (English) Zbl 1416.76317 J. Comput. Phys. 376, 838-862 (2019). MSC: 76T10 76M25 76M20 PDFBibTeX XMLCite \textit{S. Matsushita} and \textit{T. Aoki}, J. Comput. Phys. 376, 838--862 (2019; Zbl 1416.76317) Full Text: DOI
Abadi, Reza Haghani Hassan; Rahimian, Mohammad Hassan; Fakhari, Abbas Conservative phase-field lattice-Boltzmann model for ternary fluids. (English) Zbl 1416.76238 J. Comput. Phys. 374, 668-691 (2018). MSC: 76M28 76T30 76D05 PDFBibTeX XMLCite \textit{R. H. H. Abadi} et al., J. Comput. Phys. 374, 668--691 (2018; Zbl 1416.76238) Full Text: DOI
Groot, Robert D. Second order front tracking algorithm for Stefan problem on a regular grid. (English) Zbl 1415.65191 J. Comput. Phys. 372, 956-971 (2018). MSC: 65M06 35R37 82C26 PDFBibTeX XMLCite \textit{R. D. Groot}, J. Comput. Phys. 372, 956--971 (2018; Zbl 1415.65191) Full Text: DOI arXiv
Mokbel, Dominic; Abels, Helmut; Aland, Sebastian A phase-field model for fluid-structure interaction. (English) Zbl 1415.74023 J. Comput. Phys. 372, 823-840 (2018). MSC: 74F10 74S05 76M10 74S30 74D99 PDFBibTeX XMLCite \textit{D. Mokbel} et al., J. Comput. Phys. 372, 823--840 (2018; Zbl 1415.74023) Full Text: DOI arXiv
Joshi, Vaibhav; Jaiman, Rajeev K. An adaptive variational procedure for the conservative and positivity preserving Allen-Cahn phase-field model. (English) Zbl 1406.76049 J. Comput. Phys. 366, 478-504 (2018). MSC: 76M10 76M30 76T99 76D05 PDFBibTeX XMLCite \textit{V. Joshi} and \textit{R. K. Jaiman}, J. Comput. Phys. 366, 478--504 (2018; Zbl 1406.76049) Full Text: DOI arXiv
Yang, Zhiguo; Dong, Suchuan Multiphase flows of \(N\) immiscible incompressible fluids: an outflow/open boundary condition and algorithm. (English) Zbl 1406.76085 J. Comput. Phys. 366, 33-70 (2018). MSC: 76T30 76M10 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{S. Dong}, J. Comput. Phys. 366, 33--70 (2018; Zbl 1406.76085) Full Text: DOI arXiv
Bretin, Elie; Danescu, Alexandre; Penuelas, José; Masnou, Simon Multiphase mean curvature flows with high mobility contrasts: a phase-field approach, with applications to nanowires. (English) Zbl 1395.65097 J. Comput. Phys. 365, 324-349 (2018). MSC: 65M70 82D80 PDFBibTeX XMLCite \textit{E. Bretin} et al., J. Comput. Phys. 365, 324--349 (2018; Zbl 1395.65097) Full Text: DOI arXiv
Chen, Ying; Lowengrub, John; Shen, Jie; Wang, Cheng; Wise, Steven Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. (English) Zbl 1395.65014 J. Comput. Phys. 365, 56-73 (2018). MSC: 65M06 65M55 65M50 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Phys. 365, 56--73 (2018; Zbl 1395.65014) 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
Dong, S. Multiphase flows of \(N\) immiscible incompressible fluids: a reduction-consistent and thermodynamically-consistent formulation and associated algorithm. (English) Zbl 1391.76804 J. Comput. Phys. 361, 1-49 (2018). MSC: 76T30 80A17 76M25 76D45 PDFBibTeX XMLCite \textit{S. Dong}, J. Comput. Phys. 361, 1--49 (2018; Zbl 1391.76804) Full Text: DOI arXiv
Wu, Shengyang; Hu, Xianliang; Zhu, Shengfeng A multi-mesh finite element method for phase-field based photonic band structure optimization. (English) Zbl 1382.65331 J. Comput. Phys. 357, 324-337 (2018). MSC: 65M60 49Q10 82D25 PDFBibTeX XMLCite \textit{S. Wu} et al., J. Comput. Phys. 357, 324--337 (2018; Zbl 1382.65331) Full Text: DOI
Zhang, Fei; Huang, Weizhang; Li, Xianping; Zhang, Shicheng Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of Newton’s iteration. (English) Zbl 1380.74107 J. Comput. Phys. 356, 127-149 (2018). MSC: 74R10 74S05 65N50 PDFBibTeX XMLCite \textit{F. Zhang} et al., J. Comput. Phys. 356, 127--149 (2018; Zbl 1380.74107) Full Text: DOI arXiv
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
Dong, S. Wall-bounded multiphase flows of \(N\) immiscible incompressible fluids: consistency and contact-angle boundary condition. (English) Zbl 1415.76450 J. Comput. Phys. 338, 21-67 (2017). MSC: 76M10 76T30 76D45 65M60 80A17 PDFBibTeX XMLCite \textit{S. Dong}, J. Comput. Phys. 338, 21--67 (2017; Zbl 1415.76450) Full Text: DOI arXiv
Luo, Li; Wang, Xiao-Ping; Cai, Xiao-Chuan An efficient finite element method for simulation of droplet spreading on a topologically rough surface. (English) Zbl 1380.76042 J. Comput. Phys. 349, 233-252 (2017). MSC: 76M10 76D45 65Y05 PDFBibTeX XMLCite \textit{L. Luo} et al., J. Comput. Phys. 349, 233--252 (2017; Zbl 1380.76042) Full Text: DOI
Hosseini, Babak S.; Turek, Stefan; Möller, Matthias; Palmes, Christian Isogeometric analysis of the Navier-Stokes-Cahn-Hilliard equations with application to incompressible two-phase flows. (English) Zbl 1380.76039 J. Comput. Phys. 348, 171-194 (2017). MSC: 76M10 76T10 PDFBibTeX XMLCite \textit{B. S. Hosseini} et al., J. Comput. Phys. 348, 171--194 (2017; Zbl 1380.76039) Full Text: DOI
Shin, Jaemin; Lee, Hyun Geun; Lee, June-Yub Unconditionally stable methods for gradient flow using convex splitting Runge-Kutta scheme. (English) Zbl 1380.65124 J. Comput. Phys. 347, 367-381 (2017). MSC: 65L06 65L20 PDFBibTeX XMLCite \textit{J. Shin} et al., J. Comput. Phys. 347, 367--381 (2017; Zbl 1380.65124) Full Text: DOI
Li, Zheng; Wang, Hong; Yang, Danping A space-time fractional phase-field model with tunable sharpness and decay behavior and its efficient numerical simulation. (English) Zbl 1380.65306 J. Comput. Phys. 347, 20-38 (2017). MSC: 65M70 35R11 35Q35 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Comput. Phys. 347, 20--38 (2017; Zbl 1380.65306) Full Text: DOI
Fedeli, Livio Computer simulations of phase field drops on super-hydrophobic surfaces. (English) Zbl 1380.76100 J. Comput. Phys. 344, 247-259 (2017). MSC: 76M25 76D45 PDFBibTeX XMLCite \textit{L. Fedeli}, J. Comput. Phys. 344, 247--259 (2017; Zbl 1380.76100) Full Text: DOI
Yuan, H. Z.; Chen, Z.; Shu, C.; Wang, Y.; Niu, X. D.; Shu, S. A free energy-based surface tension force model for simulation of multiphase flows by level-set method. (English) Zbl 1378.76120 J. Comput. Phys. 345, 404-426 (2017). MSC: 76T10 76M28 PDFBibTeX XMLCite \textit{H. Z. Yuan} et al., J. Comput. Phys. 345, 404--426 (2017; Zbl 1378.76120) Full Text: DOI
Adkins, Melissa R.; Zhou, Y. C. Geodesic curvature driven surface microdomain formation. (English) Zbl 1378.92007 J. Comput. Phys. 345, 260-274 (2017). MSC: 92C10 53C44 53C80 PDFBibTeX XMLCite \textit{M. R. Adkins} and \textit{Y. C. Zhou}, J. Comput. Phys. 345, 260--274 (2017; Zbl 1378.92007) Full Text: DOI arXiv Link