Xu, Liang; Liu, Tiegang Ghost-fluid-based sharp interface methods for multi-material dynamics: a review. (English) Zbl 07783555 Commun. Comput. Phys. 34, No. 3, 563-612 (2023). MSC: 35Q31 35Q74 76N10 76T06 76T10 76T30 74F10 74A50 35L45 65M06 65N85 PDFBibTeX XMLCite \textit{L. Xu} and \textit{T. Liu}, Commun. Comput. Phys. 34, No. 3, 563--612 (2023; Zbl 07783555) Full Text: DOI
Abbate, Emanuela; Iollo, Angelo; Puppo, Gabriella An implicit scheme for moving walls and multi-material interfaces in weakly compressible materials. (English) Zbl 1474.65306 Commun. Comput. Phys. 27, No. 1, 116-144 (2020). MSC: 65M08 65M99 76T15 PDFBibTeX XMLCite \textit{E. Abbate} et al., Commun. Comput. Phys. 27, No. 1, 116--144 (2020; Zbl 1474.65306) Full Text: DOI
Li, Chuan; Wei, Zhihan; Long, Guangqing; Campbell, Cameron; Ashlyn, Stacy; Zhao, Shan Alternating direction ghost-fluid methods for solving the heat equation with interfaces. (English) Zbl 1447.65027 Comput. Math. Appl. 80, No. 5, 714-732 (2020). MSC: 65M06 35K05 PDFBibTeX XMLCite \textit{C. Li} et al., Comput. Math. Appl. 80, No. 5, 714--732 (2020; Zbl 1447.65027) Full Text: DOI
Fernández-Fidalgo, Javier; Clain, Stéphane; Ramírez, Luis; Colominas, Ignasi; Nogueira, Xesús Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids. (English) Zbl 1441.65066 Comput. Methods Appl. Mech. Eng. 360, Article ID 112782, 28 p. (2020). MSC: 65L12 PDFBibTeX XMLCite \textit{J. Fernández-Fidalgo} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112782, 28 p. (2020; Zbl 1441.65066) Full Text: DOI Link
Zeng, Xianyi; Li, Kangan; Scovazzi, Guglielmo An ALE/embedded boundary method for two-material flow simulations. (English) Zbl 1442.76075 Comput. Math. Appl. 78, No. 2, 335-361 (2019). MSC: 76M10 76T10 35R37 PDFBibTeX XMLCite \textit{X. Zeng} et al., Comput. Math. Appl. 78, No. 2, 335--361 (2019; Zbl 1442.76075) Full Text: DOI
Court, Sébastien; Kunisch, Karl; Pfeiffer, Laurent Optimal control problem for viscous systems of conservation laws, with geometric parameter, and application to the shallow-water equations. (English) Zbl 1428.49029 Interfaces Free Bound. 21, No. 3, 273-311 (2019). MSC: 49K20 35L65 35D35 93C30 90C46 49Q10 PDFBibTeX XMLCite \textit{S. Court} et al., Interfaces Free Bound. 21, No. 3, 273--311 (2019; Zbl 1428.49029) Full Text: DOI arXiv
Wang, Wen-Quan; Yan, Yan; Liu, G. R. An IB-LBM implementation for fluid-solid interactions with an MLS approximation for implicit coupling. (English) Zbl 1462.76140 Appl. Math. Modelling 62, 638-653 (2018). MSC: 76M28 76D25 74F10 PDFBibTeX XMLCite \textit{W.-Q. Wang} et al., Appl. Math. Modelling 62, 638--653 (2018; Zbl 1462.76140) Full Text: DOI
Huang, Daniel Z.; De Santis, Dante; Farhat, Charbel A family of position- and orientation-independent embedded boundary methods for viscous flow and fluid-structure interaction problems. (English) Zbl 1395.76044 J. Comput. Phys. 365, 74-104 (2018). MSC: 76M12 74F10 PDFBibTeX XMLCite \textit{D. Z. Huang} et al., J. Comput. Phys. 365, 74--104 (2018; Zbl 1395.76044) Full Text: DOI
Muralidharan, Balaji; Menon, Suresh Simulation of moving boundaries interacting with compressible reacting flows using a second-order adaptive Cartesian cut-cell method. (English) Zbl 1381.76266 J. Comput. Phys. 357, 230-262 (2018). MSC: 76M25 76N15 PDFBibTeX XMLCite \textit{B. Muralidharan} and \textit{S. Menon}, J. Comput. Phys. 357, 230--262 (2018; Zbl 1381.76266) Full Text: DOI
Main, Alex; Zeng, Xianyi; Avery, Philip; Farhat, Charbel An enhanced FIVER method for multi-material flow problems with second-order convergence rate. (English) Zbl 1406.76061 J. Comput. Phys. 329, 141-172 (2017). MSC: 76M12 76T99 65M08 76N15 PDFBibTeX XMLCite \textit{A. Main} et al., J. Comput. Phys. 329, 141--172 (2017; Zbl 1406.76061) Full Text: DOI
Wang, Kevin G.; Lea, Patrick; Farhat, Charbel A computational framework for the simulation of high-speed multi-material fluid-structure interaction problems with dynamic fracture. (English) Zbl 1352.76079 Int. J. Numer. Methods Eng. 104, No. 7, 585-623 (2015). MSC: 76M12 74S10 76M10 74S05 65M08 65M60 74F10 76Nxx PDFBibTeX XMLCite \textit{K. G. Wang} et al., Int. J. Numer. Methods Eng. 104, No. 7, 585--623 (2015; Zbl 1352.76079) Full Text: DOI
Balajewicz, Maciej; Farhat, Charbel Reduction of nonlinear embedded boundary models for problems with evolving interfaces. (English) Zbl 1352.65322 J. Comput. Phys. 274, 489-504 (2014). MSC: 65M50 PDFBibTeX XMLCite \textit{M. Balajewicz} and \textit{C. Farhat}, J. Comput. Phys. 274, 489--504 (2014; Zbl 1352.65322) Full Text: DOI arXiv
Farhat, Charbel; Lakshminarayan, Vinod K. An ALE formulation of embedded boundary methods for tracking boundary layers in turbulent fluid-structure interaction problems. (English) Zbl 1349.76117 J. Comput. Phys. 263, 53-70 (2014). MSC: 76F65 76M12 65M08 74F10 PDFBibTeX XMLCite \textit{C. Farhat} and \textit{V. K. Lakshminarayan}, J. Comput. Phys. 263, 53--70 (2014; Zbl 1349.76117) Full Text: DOI
Uddin, H.; Kramer, R. M. J.; Pantano, C. A Cartesian-based embedded geometry technique with adaptive high-order finite differences for compressible flow around complex geometries. (English) Zbl 1349.76542 J. Comput. Phys. 262, 379-407 (2014). MSC: 76M20 65M06 76Nxx PDFBibTeX XMLCite \textit{H. Uddin} et al., J. Comput. Phys. 262, 379--407 (2014; Zbl 1349.76542) Full Text: DOI
Main, Alex; Farhat, Charbel A second-order time-accurate implicit finite volume method with exact two-phase Riemann problems for compressible multi-phase fluid and fluid-structure problems. (English) Zbl 1349.76362 J. Comput. Phys. 258, 613-633 (2014). MSC: 76M12 74S10 76Txx 74F10 65M08 PDFBibTeX XMLCite \textit{A. Main} and \textit{C. Farhat}, J. Comput. Phys. 258, 613--633 (2014; Zbl 1349.76362) Full Text: DOI
Farhat, Charbel; Gerbeau, Jean-Frédéric; Rallu, Arthur FIVER: A finite volume method based on exact two-phase Riemann problems and sparse grids for multi-material flows with large density jumps. (English) Zbl 1284.76264 J. Comput. Phys. 231, No. 19, 6360-6379 (2012). MSC: 76M12 76T99 76N99 35Q31 PDFBibTeX XMLCite \textit{C. Farhat} et al., J. Comput. Phys. 231, No. 19, 6360--6379 (2012; Zbl 1284.76264) Full Text: DOI