Xia, Qing; Zhu, Junxia; Yu, Qian; Kim, Junseok; Li, Yibao Triply periodic minimal surfaces based topology optimization for the hydrodynamic and convective heat transfer. (English) Zbl 07810023 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107819, 23 p. (2024). MSC: 65M06 65N06 65K10 76D07 76S05 76D55 80A19 74F10 74F05 49M41 53E10 76M20 35Q35 PDFBibTeX XMLCite \textit{Q. Xia} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107819, 23 p. (2024; Zbl 07810023) Full Text: DOI
Cen, Luyu; Wang, Xiaoping An iterative thresholding method for the heat transfer problem. (English) Zbl 07814786 Ann. Appl. Math. 39, No. 3, 264-280 (2023). MSC: 80M50 74B05 74P15 PDFBibTeX XMLCite \textit{L. Cen} and \textit{X. Wang}, Ann. Appl. Math. 39, No. 3, 264--280 (2023; Zbl 07814786) Full Text: DOI
Latifiyan, Navid; Rahimian, Mohammad Hassan; Haghani-Hassan-Abadi, Reza; Ashna, Mostafa; Jafari, Azadeh Numerical simulation of droplet evaporation in three-component multiphase flows using lattice Boltzmann method. (English) Zbl 1507.76163 Acta Mech. 233, No. 11, 4817-4849 (2022). MSC: 76M28 76T30 80A22 PDFBibTeX XMLCite \textit{N. Latifiyan} et al., Acta Mech. 233, No. 11, 4817--4849 (2022; Zbl 1507.76163) Full Text: DOI
Chang, Xiangting; Huang, Haibo; Lu, Xi-Yun; Hou, Jian Width effect on contact angle hysteresis in a patterned heterogeneous microchannel. (English) Zbl 07593336 J. Fluid Mech. 949, Paper No. A15, 30 p. (2022). MSC: 76T10 76M28 80A22 PDFBibTeX XMLCite \textit{X. Chang} et al., J. Fluid Mech. 949, Paper No. A15, 30 p. (2022; Zbl 07593336) Full Text: DOI
Huang, Maojing; Wang, Yin; Bao, Yun; He, Xiaozhou Heat transport and temperature boundary-layer profiles in closed turbulent Rayleigh-Bénard convection with slippery conducting surfaces. (English) Zbl 1496.76075 J. Fluid Mech. 943, Paper No. A2, 21 p. (2022). MSC: 76F35 76F40 76F65 80A19 PDFBibTeX XMLCite \textit{M. Huang} et al., J. Fluid Mech. 943, Paper No. A2, 21 p. (2022; Zbl 1496.76075) Full Text: DOI
Wang, Yin; Wei, Yongze; Tong, Penger; He, Xiaozhou Collective effect of thermal plumes on temperature fluctuations in a closed Rayleigh-Bénard convection cell. (English) Zbl 1509.76046 J. Fluid Mech. 934, Paper No. A13, 23 p. (2022). MSC: 76F35 76F25 76R10 80A19 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Fluid Mech. 934, Paper No. A13, 23 p. (2022; Zbl 1509.76046) Full Text: DOI
Gao, Yuan; Liu, Jian-Guo Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: derivations and computations. (English) Zbl 1483.76063 Physica D 428, Article ID 133067, 24 p. (2021). MSC: 76T30 76T10 76D45 76D07 80A17 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{J.-G. Liu}, Physica D 428, Article ID 133067, 24 p. (2021; Zbl 1483.76063) Full Text: DOI arXiv
Xu, Wei; Wang, Yin; He, Xiaozhou; Wang, Xiaoping; Schumacher, Jörg; Huang, Shi-Di; Tong, Penger Mean velocity and temperature profiles in turbulent Rayleigh-Bénard convection at low Prandtl numbers. (English) Zbl 1486.76050 J. Fluid Mech. 918, Paper No. A1, 20 p. (2021). MSC: 76F35 76F40 76F65 80A19 PDFBibTeX XMLCite \textit{W. Xu} et al., J. Fluid Mech. 918, Paper No. A1, 20 p. (2021; Zbl 1486.76050) Full Text: DOI
Abdullah Al Mahbub, Md.; He, Xiaoming; Nasu, Nasrin Jahan; Qiu, Changxin; Wang, Yifan; Zheng, Haibiao A coupled multiphysics model and a decoupled stabilized finite element method for the closed-loop geothermal system. (English) Zbl 1459.76076 SIAM J. Sci. Comput. 42, No. 4, B951-B982 (2020). MSC: 76M10 76S05 80A19 86A05 PDFBibTeX XMLCite \textit{Md. Abdullah Al Mahbub} et al., SIAM J. Sci. Comput. 42, No. 4, B951--B982 (2020; Zbl 1459.76076) Full Text: DOI
Kou, Jisheng; Sun, Shuyu Thermodynamically consistent simulation of nonisothermal diffuse-interface two-phase flow with Peng-Robinson equation of state. (English) Zbl 1415.76644 J. Comput. Phys. 371, 581-605 (2018). MSC: 76T10 80A20 76M25 PDFBibTeX XMLCite \textit{J. Kou} and \textit{S. Sun}, J. Comput. Phys. 371, 581--605 (2018; Zbl 1415.76644) 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
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
Heida, Martin Existence of solutions for two types of generalized versions of the Cahn-Hilliard equation. (English) Zbl 1340.35108 Appl. Math., Praha 60, No. 1, 51-90 (2015). MSC: 35K35 80A22 35A01 PDFBibTeX XMLCite \textit{M. Heida}, Appl. Math., Praha 60, No. 1, 51--90 (2015; Zbl 1340.35108) Full Text: DOI Link
Heida, Martin On thermodynamics of fluid interfaces. (English) Zbl 1423.80007 Int. J. Eng. Sci. 82, 178-195 (2014). MSC: 80A10 35Q35 76D27 76T99 80A17 80A20 82C24 PDFBibTeX XMLCite \textit{M. Heida}, Int. J. Eng. Sci. 82, 178--195 (2014; Zbl 1423.80007) Full Text: DOI Link
Guo, Zhenlin; Lin, Ping; Wang, Yangfan Continuous finite element schemes for a phase field model in two-layer fluid Bénard-Marangoni convection computations. (English) Zbl 1344.76053 Comput. Phys. Commun. 185, No. 1, 63-78 (2014). MSC: 76M10 80A20 76R10 PDFBibTeX XMLCite \textit{Z. Guo} et al., Comput. Phys. Commun. 185, No. 1, 63--78 (2014; Zbl 1344.76053) Full Text: DOI
Heida, Martin On the derivation of thermodynamically consistent boundary conditions for the Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1423.76094 Int. J. Eng. Sci. 62, 126-156 (2013). MSC: 76D05 35Q35 80A20 PDFBibTeX XMLCite \textit{M. Heida}, Int. J. Eng. Sci. 62, 126--156 (2013; Zbl 1423.76094) Full Text: DOI
Abels, Helmut; Garcke, Harald; Grün, Günther Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. (English) Zbl 1242.76342 Math. Models Methods Appl. Sci. 22, No. 3, 1150013, 40 p. (2012). MSC: 76T99 35Q30 35Q35 35R35 76D05 76D45 80A22 PDFBibTeX XMLCite \textit{H. Abels} et al., Math. Models Methods Appl. Sci. 22, No. 3, 1150013, 40 p. (2012; Zbl 1242.76342) Full Text: DOI arXiv
Cherfils, Laurence; Miranville, Alain; Zelik, Sergey The Cahn-Hilliard equation with logarithmic potentials. (English) Zbl 1250.35129 Milan J. Math. 79, No. 2, 561-596 (2011). Reviewer: Athanasios Yannacopoulos (Athens) MSC: 35K67 35K55 35J60 80A22 35B40 35K35 35B41 PDFBibTeX XMLCite \textit{L. Cherfils} et al., Milan J. Math. 79, No. 2, 561--596 (2011; Zbl 1250.35129) Full Text: DOI
Peterson, J. W.; Carey, G. F. Parallel adaptive solution of coupled Rayleigh-Bénard-Marangoni problems with the Navier-slip. (English) Zbl 1328.76044 Int. J. Numer. Methods Fluids 66, No. 4, 428-451 (2011). MSC: 76M10 76R10 76D45 80A20 65Y05 PDFBibTeX XMLCite \textit{J. W. Peterson} and \textit{G. F. Carey}, Int. J. Numer. Methods Fluids 66, No. 4, 428--451 (2011; Zbl 1328.76044) Full Text: DOI
Trapp, John A.; Welch, Samuel W. J. An interface constitutive modeling problem for compressible flows with mass transfer. (English) Zbl 1231.80030 Int. J. Eng. Sci. 48, No. 12, 1896-1906 (2010). MSC: 80A20 76N99 PDFBibTeX XMLCite \textit{J. A. Trapp} and \textit{S. W. J. Welch}, Int. J. Eng. Sci. 48, No. 12, 1896--1906 (2010; Zbl 1231.80030) Full Text: DOI
Volkov, Oleg; Protas, Bartosz An inverse model for a free-boundary problem with a contact line: steady case. (English) Zbl 1166.76056 J. Comput. Phys. 228, No. 13, 4893-4910 (2009). MSC: 76T99 80A22 80A23 PDFBibTeX XMLCite \textit{O. Volkov} and \textit{B. Protas}, J. Comput. Phys. 228, No. 13, 4893--4910 (2009; Zbl 1166.76056) Full Text: DOI
Di, Yana; Wang, Xiao-Ping Precursor simulations in spreading using a multi-mesh adaptive finite element method. (English) Zbl 1409.80003 J. Comput. Phys. 228, No. 5, 1380-1390 (2009). MSC: 80M10 65M60 PDFBibTeX XMLCite \textit{Y. Di} and \textit{X.-P. Wang}, J. Comput. Phys. 228, No. 5, 1380--1390 (2009; Zbl 1409.80003) Full Text: DOI
Zhao, Huijiang; Tang, Shaoqiang Nonlinear stability and optimal decay rate for a multidimensional generalized Kuramoto-Sivashinsky system. (English) Zbl 0957.35116 J. Math. Anal. Appl. 246, No. 2, 423-445 (2000). MSC: 35Q53 37L15 80A30 PDFBibTeX XMLCite \textit{H. Zhao} and \textit{S. Tang}, J. Math. Anal. Appl. 246, No. 2, 423--445 (2000; Zbl 0957.35116) Full Text: DOI
Fife, Paul C.; Wang, Xiao-Ping Periodic structures in a van der Waals fluid. (English) Zbl 0906.35073 Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 2, 235-250 (1998). MSC: 35Q35 76A10 35R35 80A22 PDFBibTeX XMLCite \textit{P. C. Fife} and \textit{X.-P. Wang}, Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 2, 235--250 (1998; Zbl 0906.35073) Full Text: DOI