Zhang, Chao; Wang, Lifeng; Ye, Wenhua; Wu, Junfeng; Shen, Zhijun; Menshov, Igor Mathematical modeling of transport phenomena in compressible multicomponent flows. (English) Zbl 07620350 J. Comput. Phys. 472, Article ID 111628, 36 p. (2023). MSC: 76Txx 76Mxx 76Nxx PDFBibTeX XMLCite \textit{C. Zhang} et al., J. Comput. Phys. 472, Article ID 111628, 36 p. (2023; Zbl 07620350) 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
Chen, Meng; Ling, Leevan Kernel-based collocation methods for heat transport on evolving surfaces. (English) Zbl 1453.65356 J. Comput. Phys. 405, Article ID 109166, 13 p. (2020). MSC: 65M70 35R01 35Q79 65Z05 PDFBibTeX XMLCite \textit{M. Chen} and \textit{L. Ling}, J. Comput. Phys. 405, Article ID 109166, 13 p. (2020; Zbl 1453.65356) Full Text: DOI arXiv
Siryk, Sergii V. A note on the application of the Guermond-Pasquetti mass lumping correction technique for convection-diffusion problems. (English) Zbl 1416.65359 J. Comput. Phys. 376, 1273-1291 (2019). MSC: 65M60 42A16 PDFBibTeX XMLCite \textit{S. V. Siryk}, J. Comput. Phys. 376, 1273--1291 (2019; Zbl 1416.65359) Full Text: DOI arXiv
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
He, Ping; Ghoniem, Ahmed F. A sharp interface method for coupling multiphase flow, heat transfer and multicomponent mass transfer with interphase diffusion. (English) Zbl 1378.76073 J. Comput. Phys. 332, 316-332 (2017). MSC: 76M20 76T10 PDFBibTeX XMLCite \textit{P. He} and \textit{A. F. Ghoniem}, J. Comput. Phys. 332, 316--332 (2017; Zbl 1378.76073) Full Text: DOI
Guerrier, C.; Holcman, D. Multiscale models and stochastic simulation methods for computing rare but key binding events in cell biology. (English) Zbl 1376.92018 J. Comput. Phys. 340, 617-638 (2017). MSC: 92C37 92C20 35K57 60J70 PDFBibTeX XMLCite \textit{C. Guerrier} and \textit{D. Holcman}, J. Comput. Phys. 340, 617--638 (2017; Zbl 1376.92018) Full Text: DOI
Smedley-Stevenson, Richard P.; McClarren, Ryan G. Asymptotic diffusion limit of cell temperature discretisation schemes for thermal radiation transport. (English) Zbl 1351.80003 J. Comput. Phys. 286, 214-235 (2015). MSC: 80A20 65C05 65M60 78A25 78A35 PDFBibTeX XMLCite \textit{R. P. Smedley-Stevenson} and \textit{R. G. McClarren}, J. Comput. Phys. 286, 214--235 (2015; Zbl 1351.80003) Full Text: DOI
Gong, Xiaobo; Gong, Zhaoxin; Huang, Huaxiong An immersed boundary method for mass transfer across permeable moving interfaces. (English) Zbl 1349.76465 J. Comput. Phys. 278, 148-168 (2014). MSC: 76M20 65M06 65M85 76Z05 92C35 PDFBibTeX XMLCite \textit{X. Gong} et al., J. Comput. Phys. 278, 148--168 (2014; Zbl 1349.76465) Full Text: DOI
Oterkus, Selda; Madenci, Erdogan; Agwai, Abigail Peridynamic thermal diffusion. (English) Zbl 1349.80020 J. Comput. Phys. 265, 71-96 (2014). MSC: 80A20 PDFBibTeX XMLCite \textit{S. Oterkus} et al., J. Comput. Phys. 265, 71--96 (2014; Zbl 1349.80020) Full Text: DOI Link
Bobaru, Florin; Duangpanya, Monchai A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities. (English) Zbl 1253.80002 J. Comput. Phys. 231, No. 7, 2764-2785 (2012). Reviewer: Adriana C. Briozzo (Rosario) MSC: 80A20 PDFBibTeX XMLCite \textit{F. Bobaru} and \textit{M. Duangpanya}, J. Comput. Phys. 231, No. 7, 2764--2785 (2012; Zbl 1253.80002) Full Text: DOI Link
Peerenboom, K. S. C.; van Dijk, J.; ten Thije Boonkkamp, J. H. M.; Liu, Lei; Goedheer, W. J.; van der Mullen, J. J. A. M. Mass conservative finite volume discretization of the continuity equations in multi-component mixtures. (English) Zbl 1293.76090 J. Comput. Phys. 230, No. 9, 3525-3537 (2011). MSC: 76M12 65M08 80M12 PDFBibTeX XMLCite \textit{K. S. C. Peerenboom} et al., J. Comput. Phys. 230, No. 9, 3525--3537 (2011; Zbl 1293.76090) Full Text: DOI
Edwards, Jarrod D.; Morel, Jim E.; Knoll, Dana A. Nonlinear variants of the TR/BDF2 method for thermal radiative diffusion. (English) Zbl 1218.80019 J. Comput. Phys. 230, No. 4, 1198-1214 (2011). Reviewer: Damian Słota (Gliwice) MSC: 80M20 65M06 80A20 80M25 PDFBibTeX XMLCite \textit{J. D. Edwards} et al., J. Comput. Phys. 230, No. 4, 1198--1214 (2011; Zbl 1218.80019) Full Text: DOI
Rauwoens, Pieter; Vierendeels, Jan; Dick, Erik; Merci, Bart A conservative discrete compatibility-constraint low-Mach pressure-correction algorithm for time-accurate simulations of variable density flows. (English) Zbl 1368.76043 J. Comput. Phys. 228, No. 13, 4714-4744 (2009). MSC: 76M12 76R99 65N12 65N22 PDFBibTeX XMLCite \textit{P. Rauwoens} et al., J. Comput. Phys. 228, No. 13, 4714--4744 (2009; Zbl 1368.76043) Full Text: DOI
Chénier, Eric; Eymard, Robert; Herbin, Raphaèle A collocated finite volume scheme to solve free convection for general non-conforming grids. (English) Zbl 1158.76028 J. Comput. Phys. 228, No. 6, 2296-2311 (2009). MSC: 76M12 76R10 76D05 80A20 PDFBibTeX XMLCite \textit{E. Chénier} et al., J. Comput. Phys. 228, No. 6, 2296--2311 (2009; Zbl 1158.76028) Full Text: DOI arXiv
Servan-Camas, Borja; Tsai, Frank T.-C. Non-negativity and stability analyses of lattice Boltzmann method for advection-diffusion equation. (English) Zbl 1245.76119 J. Comput. Phys. 228, No. 1, 236-256 (2009). MSC: 76M28 76R99 80A20 PDFBibTeX XMLCite \textit{B. Servan-Camas} and \textit{F. T. C. Tsai}, J. Comput. Phys. 228, No. 1, 236--256 (2009; Zbl 1245.76119) Full Text: DOI
Jardin, S. C.; Bateman, G.; Hammett, G. W.; Ku, L. P. On 1D diffusion problems with a gradient-dependent diffusion coefficient. (English) Zbl 1152.65093 J. Comput. Phys. 227, No. 20, 8769-8775 (2008). MSC: 65M06 35K55 80A20 80M20 PDFBibTeX XMLCite \textit{S. C. Jardin} et al., J. Comput. Phys. 227, No. 20, 8769--8775 (2008; Zbl 1152.65093) Full Text: DOI
Benkhaldoun, Fayssal; Elmahi, Imad; Seaïd, Mohammed Well-balanced finite volume schemes for pollutant transport by shallow water equations on unstructured meshes. (English) Zbl 1120.76045 J. Comput. Phys. 226, No. 1, 180-203 (2007). MSC: 76M12 76B15 76R50 PDFBibTeX XMLCite \textit{F. Benkhaldoun} et al., J. Comput. Phys. 226, No. 1, 180--203 (2007; Zbl 1120.76045) Full Text: DOI HAL
Liu, Xinfeng; Li, Yuanhua; Glimm, J.; Li, X. L. A front tracking algorithm for limited mass diffusion. (English) Zbl 1116.76063 J. Comput. Phys. 222, No. 2, 644-653 (2007). MSC: 76M20 76R50 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Comput. Phys. 222, No. 2, 644--653 (2007; Zbl 1116.76063) Full Text: DOI
Densmore, Jeffery D.; Urbatsch, Todd J.; Evans, Thomas M.; Buksas, Michael W. A hybrid transport-diffusion method for Monte Carlo radiative-transfer simulations. (English) Zbl 1111.82308 J. Comput. Phys. 222, No. 2, 485-503 (2007). MSC: 82C70 80A20 78A40 82C80 PDFBibTeX XMLCite \textit{J. D. Densmore} et al., J. Comput. Phys. 222, No. 2, 485--503 (2007; Zbl 1111.82308) Full Text: DOI
Evans, Katherine J.; Knoll, D. A.; Pernice, Michael Development of a 2-D algorithm to simulate convection and phase transition efficiently. (English) Zbl 1102.76037 J. Comput. Phys. 219, No. 1, 404-417 (2006). MSC: 76M12 76R99 76T99 80A20 80A22 PDFBibTeX XMLCite \textit{K. J. Evans} et al., J. Comput. Phys. 219, No. 1, 404--417 (2006; Zbl 1102.76037) Full Text: DOI
Lipnikov, Konstantin; Morel, Jim; Shashkov, Mikhail Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes. (English) Zbl 1057.65071 J. Comput. Phys. 199, No. 2, 589-597 (2004). MSC: 65N06 35J25 65N12 65N50 80M20 80A20 PDFBibTeX XMLCite \textit{K. Lipnikov} et al., J. Comput. Phys. 199, No. 2, 589--597 (2004; Zbl 1057.65071) Full Text: DOI
Chaniotis, A. K.; Poulikakos, D.; Koumoutsakos, P. Remeshed smoothed particle hydrodynamics for the simulation of viscous and heat conducting flows. (English) Zbl 1048.76046 J. Comput. Phys. 182, No. 1, 67-90 (2002). MSC: 76M28 76N15 80A20 PDFBibTeX XMLCite \textit{A. K. Chaniotis} et al., J. Comput. Phys. 182, No. 1, 67--90 (2002; Zbl 1048.76046) Full Text: DOI Link
Inamuro, Takaji; Yoshino, Masato; Inoue, Hiroshi; Mizuno, Riki; Ogino, Fumimaru A lattice Boltzmann method for a binary miscible fluid mixture and its application to a heat transfer problem. (English) Zbl 1065.76164 J. Comput. Phys. 179, No. 1, 201-215 (2002). MSC: 76M28 76R10 76R50 80A20 PDFBibTeX XMLCite \textit{T. Inamuro} et al., J. Comput. Phys. 179, No. 1, 201--215 (2002; Zbl 1065.76164) Full Text: DOI Link
Wangard, William III; Dandy, David S.; Miller, Brian J. A numerically stable method for integration of the multicomponent species diffusion equations. (English) Zbl 1009.76068 J. Comput. Phys. 174, No. 1, 460-472 (2001). MSC: 76M20 76R50 PDFBibTeX XMLCite \textit{W. Wangard III} et al., J. Comput. Phys. 174, No. 1, 460--472 (2001; Zbl 1009.76068) Full Text: DOI
Li, Genong; Modest, Michael F. An effective particle tracing scheme on structured/unstructured grids in hybrid finite volume/PDF Monte Carlo methods. (English) Zbl 0987.65005 J. Comput. Phys. 173, No. 1, 187-207 (2001). MSC: 65C05 80A20 80A25 80A32 65M06 80M25 65Z05 PDFBibTeX XMLCite \textit{G. Li} and \textit{M. F. Modest}, J. Comput. Phys. 173, No. 1, 187--207 (2001; Zbl 0987.65005) Full Text: DOI
Glimm, J.; Grove, J. W.; Li, X. L.; Oh, W.; Sharp, D. H. A critical analysis of Rayleigh-Taylor growth rates. (English) Zbl 1011.76057 J. Comput. Phys. 169, No. 2, 652-677 (2001). MSC: 76M20 76E17 PDFBibTeX XMLCite \textit{J. Glimm} et al., J. Comput. Phys. 169, No. 2, 652--677 (2001; Zbl 1011.76057) Full Text: DOI
Shestakov, A. I.; Milovich, J. L.; Prasad, M. K. Combining cell- and point-centered methods in 3D, unstructured-grid radiation-hydrodynamic codes. (English) Zbl 1003.76052 J. Comput. Phys. 170, No. 1, 81-111 (2001). MSC: 76M10 76N15 78A40 80A20 PDFBibTeX XMLCite \textit{A. I. Shestakov} et al., J. Comput. Phys. 170, No. 1, 81--111 (2001; Zbl 1003.76052) Full Text: DOI
Raimondeau, S.; Vlachos, D. G. Low-dimensional approximations of multiscale epitaxial growth models for microstructure control of materials. (English) Zbl 0978.76073 J. Comput. Phys. 160, No. 2, 564-576 (2000). MSC: 76M35 76T15 80A20 76R99 PDFBibTeX XMLCite \textit{S. Raimondeau} and \textit{D. G. Vlachos}, J. Comput. Phys. 160, No. 2, 564--576 (2000; Zbl 0978.76073) Full Text: DOI
Kremeyer, Kevin Cellular automata investigations of binary solidification. (English) Zbl 0923.65096 J. Comput. Phys. 142, No. 1, 243-263 (1998). MSC: 65Z05 82C26 35Q72 65M06 35R35 35K05 80A20 PDFBibTeX XMLCite \textit{K. Kremeyer}, J. Comput. Phys. 142, No. 1, 243--263 (1998; Zbl 0923.65096) Full Text: DOI
Arthurs, Kayne M.; Moore, Leon C.; Peskin, Charles S.; Pitman, E. Bruce; Layton, H. E. Modeling arteriolar flow and mass transport using the immersed boundary method. (English) Zbl 0936.76062 J. Comput. Phys. 147, No. 2, 402-440 (1998). MSC: 76M25 76Z05 76D05 92C10 PDFBibTeX XMLCite \textit{K. M. Arthurs} et al., J. Comput. Phys. 147, No. 2, 402--440 (1998; Zbl 0936.76062) Full Text: DOI
Gambolati, Giuseppe; Pini, Giorgio Complex solution to nonideal contaminant transport through porous media. (English) Zbl 0924.76058 J. Comput. Phys. 145, No. 2, 538-554 (1998). MSC: 76M10 76S05 76R99 80A20 PDFBibTeX XMLCite \textit{G. Gambolati} and \textit{G. Pini}, J. Comput. Phys. 145, No. 2, 538--554 (1998; Zbl 0924.76058) Full Text: DOI
Xu, Kun BGK-based scheme for multicomponent flow calculations. (English) Zbl 0882.76060 J. Comput. Phys. 134, No. 1, 122-133 (1997). MSC: 76M20 76P05 PDFBibTeX XMLCite \textit{K. Xu}, J. Comput. Phys. 134, No. 1, 122--133 (1997; Zbl 0882.76060) Full Text: DOI
Ganesh, Ram K.; Bowley, Wallace W.; Bellantone, Robert R.; Hahn, Yukap A model for laser hole drilling in metals. (English) Zbl 0848.76057 J. Comput. Phys. 125, No. 1, 161-176 (1996). MSC: 76M25 76T99 80A22 80A20 PDFBibTeX XMLCite \textit{R. K. Ganesh} et al., J. Comput. Phys. 125, No. 1, 161--176 (1996; Zbl 0848.76057) Full Text: DOI
Caramana, Edward J.; Webster, Robert B. Parameterized solution of one-dimensional thermal diffusion with a heat source and a moving boundary. (English) Zbl 0748.65084 J. Comput. Phys. 98, No. 2, 342-346 (1992). Reviewer: J.A.Crow (Corvallis) MSC: 65Z05 65L05 65M06 65L12 35R35 35Q72 80A20 PDFBibTeX XMLCite \textit{E. J. Caramana} and \textit{R. B. Webster}, J. Comput. Phys. 98, No. 2, 342--346 (1992; Zbl 0748.65084) Full Text: DOI
Betté, Srinivas; Diaz, Julio C.; Jines, William R.; Steihaug, Trond A block preconditioned conjugate gradient-type iterative solver for linear systems in thermal reservoir simulation. (English) Zbl 0599.76113 J. Comput. Phys. 67, 37-58 (1986). MSC: 76S05 76R99 80A20 86A60 76-04 76M99 PDFBibTeX XMLCite \textit{S. Betté} et al., J. Comput. Phys. 67, 37--58 (1986; Zbl 0599.76113) Full Text: DOI
Brown, Philip S. jun. An implicit scheme for efficient solution of the coalescence/collision- breakup equation. (English) Zbl 0584.76052 J. Comput. Phys. 58, 417-431 (1985). MSC: 76E20 76R99 76T99 86A99 80A20 PDFBibTeX XMLCite \textit{P. S. Brown jun.}, J. Comput. Phys. 58, 417--431 (1985; Zbl 0584.76052) Full Text: DOI
Foulser, R. W. S. Mass diffusion through a moving interface using a moving finite element mesh. (English) Zbl 0543.65080 J. Comput. Phys. 55, 408-425 (1984). MSC: 65Z05 65N30 80A20 35K60 PDFBibTeX XMLCite \textit{R. W. S. Foulser}, J. Comput. Phys. 55, 408--425 (1984; Zbl 0543.65080) Full Text: DOI
Chen, Y. M.; Liu, J. Q. A numerical algorithm for remote sensing of thermal conductivity. (English) Zbl 0469.65086 J. Comput. Phys. 43, 315-326 (1981). MSC: 65Z05 35J05 35R30 80A20 PDFBibTeX XMLCite \textit{Y. M. Chen} and \textit{J. Q. Liu}, J. Comput. Phys. 43, 315--326 (1981; Zbl 0469.65086) Full Text: DOI