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
Long, Tian; Cai, Jinsheng; Pan, Shucheng A fully conservative sharp-interface method for compressible multiphase flows with phase change. (English) Zbl 07748075 J. Comput. Phys. 493, Article ID 112501, 30 p. (2023). MSC: 76Mxx 76Txx 65Mxx PDFBibTeX XMLCite \textit{T. Long} et al., J. Comput. Phys. 493, Article ID 112501, 30 p. (2023; Zbl 07748075) Full Text: DOI arXiv
Hu, Wei-Fan; Lin, Te-Sheng; Tseng, Yu-Hau; Lai, Ming-Chih An efficient neural-network and finite-difference hybrid method for elliptic interface problems with applications. (English) Zbl 1514.65150 Commun. Comput. Phys. 33, No. 4, 1090-1105 (2023). MSC: 65N06 65N99 35J25 68T07 PDFBibTeX XMLCite \textit{W.-F. Hu} et al., Commun. Comput. Phys. 33, No. 4, 1090--1105 (2023; Zbl 1514.65150) Full Text: DOI arXiv
Chirammel, Sanjid S.; Sharma, Atul; Murallidharan, Janani Srree On ghost fluid method-based sharp interface level set method on a co-located grid and its comparison with balanced force-based diffuse interface method. (English) Zbl 07690212 J. Comput. Phys. 485, Article ID 112109, 25 p. (2023). MSC: 76Mxx 76Dxx 76Txx PDFBibTeX XMLCite \textit{S. S. Chirammel} et al., J. Comput. Phys. 485, Article ID 112109, 25 p. (2023; Zbl 07690212) Full Text: DOI
Raj, Apurva; Khan, Piru Mohan; Alam, Md. Irshad; Prakash, Akshay; Roy, Somnath A GPU-accelerated sharp interface immersed boundary method for versatile geometries. (English) Zbl 07660346 J. Comput. Phys. 478, Article ID 111985, 23 p. (2023). MSC: 76Mxx 76Dxx 65Mxx PDFBibTeX XMLCite \textit{A. Raj} et al., J. Comput. Phys. 478, Article ID 111985, 23 p. (2023; Zbl 07660346) Full Text: DOI
Garcke, Harald; Knopf, Patrik; Nürnberg, Robert; Zhao, Quan A diffuse-interface approach for solid-state dewetting with anisotropic surface energies. (English) Zbl 1510.35163 J. Nonlinear Sci. 33, No. 2, Paper No. 34, 56 p. (2023). MSC: 35K61 35K65 35C20 49J40 74E10 65M60 PDFBibTeX XMLCite \textit{H. Garcke} et al., J. Nonlinear Sci. 33, No. 2, Paper No. 34, 56 p. (2023; Zbl 1510.35163) Full Text: DOI arXiv
Smuda, Martin; Kummer, Florian On a marching level-set method for extended discontinuous Galerkin methods for incompressible two-phase flows: application to two-dimensional settings. (English) Zbl 07757771 Int. J. Numer. Methods Eng. 123, No. 1, 197-225 (2022). MSC: 65Nxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{M. Smuda} and \textit{F. Kummer}, Int. J. Numer. Methods Eng. 123, No. 1, 197--225 (2022; Zbl 07757771) Full Text: DOI arXiv OA License
Mizuno, Kyohei; Asahara, Makoto; Kamiya, Tomohiro; Miyasaka, Takeshi Finite difference and reinitialization methods with level set to interfacial area transport equations for gas-liquid two-phase flows. (English) Zbl 1506.76120 Int. J. Comput. Fluid Dyn. 36, No. 5, 361-383 (2022). MSC: 76M20 PDFBibTeX XMLCite \textit{K. Mizuno} et al., Int. J. Comput. Fluid Dyn. 36, No. 5, 361--383 (2022; Zbl 1506.76120) Full Text: DOI
Wang, Zidi; Sugiyama, Tomoyuki; Matsunaga, Takuya; Koshizuka, Seiichi A multi-resolution particle method with high order accuracy for solid-liquid phase change represented by sharp moving interface. (English) Zbl 1521.76714 Comput. Fluids 247, Article ID 105646, 21 p. (2022). MSC: 76M28 65M75 74N20 PDFBibTeX XMLCite \textit{Z. Wang} et al., Comput. Fluids 247, Article ID 105646, 21 p. (2022; Zbl 1521.76714) Full Text: DOI
Slimani, S.; Farhloul, M.; Medarhri, I.; Najib, K.; Zine, A. Mixed formulation of a stationary seawater intrusion problem in confined aquifers. (English) Zbl 1502.65215 Numer. Algorithms 91, No. 2, 651-669 (2022). MSC: 65N30 65N15 76T06 76U60 86A05 76M10 35Q35 PDFBibTeX XMLCite \textit{S. Slimani} et al., Numer. Algorithms 91, No. 2, 651--669 (2022; Zbl 1502.65215) 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
Wu, Shijian; Solano, Tomas; Shoele, Kourosh; Mohammadigoushki, Hadi Formation of a strong negative wake behind a helical swimmer in a viscoelastic fluid. (English) Zbl 1495.76144 J. Fluid Mech. 942, Paper No. A10, 16 p. (2022). MSC: 76Z10 76A10 76M99 76-05 PDFBibTeX XMLCite \textit{S. Wu} et al., J. Fluid Mech. 942, Paper No. A10, 16 p. (2022; Zbl 1495.76144) Full Text: DOI arXiv
Barbeau, Lucka; Étienne, Stéphane; Béguin, Cédric; Blais, Bruno Development of a high-order continuous Galerkin sharp-interface immersed boundary method and its application to incompressible flow problems. (English) Zbl 1521.76316 Comput. Fluids 239, Article ID 105415, 13 p. (2022). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{L. Barbeau} et al., Comput. Fluids 239, Article ID 105415, 13 p. (2022; Zbl 1521.76316) Full Text: DOI
Abu Hamed, Mohammad; Nepomnyashchy, Alexander A. Phase field model for cell spreading dynamics. (English) Zbl 1483.92031 J. Math. Biol. 84, No. 5, Paper No. 32, 15 p. (2022). MSC: 92C17 PDFBibTeX XMLCite \textit{M. Abu Hamed} and \textit{A. A. Nepomnyashchy}, J. Math. Biol. 84, No. 5, Paper No. 32, 15 p. (2022; Zbl 1483.92031) Full Text: DOI arXiv
Poluektov, Michael; Figiel, Łukasz A cut finite-element method for fracture and contact problems in large-deformation solid mechanics. (English) Zbl 1507.74505 Comput. Methods Appl. Mech. Eng. 388, Article ID 114234, 25 p. (2022). MSC: 74S05 74M15 74R10 PDFBibTeX XMLCite \textit{M. Poluektov} and \textit{Ł. Figiel}, Comput. Methods Appl. Mech. Eng. 388, Article ID 114234, 25 p. (2022; Zbl 1507.74505) Full Text: DOI
Long, Tian; Cai, Jinsheng; Pan, Shucheng An accelerated conservative sharp-interface method for multiphase flows simulations. (English) Zbl 07500753 J. Comput. Phys. 429, Article ID 110021, 26 p. (2021). MSC: 76Mxx 65Mxx 76Txx PDFBibTeX XMLCite \textit{T. Long} et al., J. Comput. Phys. 429, Article ID 110021, 26 p. (2021; Zbl 07500753) Full Text: DOI
Chertock, Alina; Chu, Shaoshuai; Kurganov, Alexander Hybrid multifluid algorithms based on the path-conservative central-upwind scheme. (English) Zbl 1493.76068 J. Sci. Comput. 89, No. 2, Paper No. 48, 24 p. (2021). Reviewer: Mária Lukáčová (Mainz) MSC: 76M12 76M20 76M99 76N15 76T99 PDFBibTeX XMLCite \textit{A. Chertock} et al., J. Sci. Comput. 89, No. 2, Paper No. 48, 24 p. (2021; Zbl 1493.76068) Full Text: DOI
Hintermüller, Michael; Keil, Tobias Optimal control of geometric partial differential equations. (English) Zbl 1475.49005 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 22, 213-270 (2021). MSC: 49J20 49K20 49J40 35J87 35Q93 35Q35 35R35 90C33 90C46 76D45 76T10 65K10 65K15 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. Keil}, Handb. Numer. Anal. 22, 213--270 (2021; Zbl 1475.49005) Full Text: DOI
Kara, Mohamed; Mesbahi, Salim; Angot, Philippe The fictitious domain method with sharp interface for elasticity systems with general jump embedded boundary conditions. (English) Zbl 1488.65569 Adv. Appl. Math. Mech. 13, No. 1, 119-139 (2021). MSC: 65N08 65M55 65N85 74S50 74B05 PDFBibTeX XMLCite \textit{M. Kara} et al., Adv. Appl. Math. Mech. 13, No. 1, 119--139 (2021; Zbl 1488.65569) Full Text: DOI
Alam, Md. Irshad; Raj, Apurva; Khan, Piru Mohan; Kumar, Subrata; Roy, Somnath Numerical simulation of flow of a shear-thinning Carreau fluid over a transversely oscillating cylinder. (English) Zbl 1493.76006 J. Fluid Mech. 921, Paper No. A23, 33 p. (2021). MSC: 76A05 76M99 76D17 PDFBibTeX XMLCite \textit{Md. I. Alam} et al., J. Fluid Mech. 921, Paper No. A23, 33 p. (2021; Zbl 1493.76006) Full Text: DOI
Abels, Helmut; Marquardt, Andreas Sharp interface limit of a Stokes/Cahn-Hilliard system. II: Approximate solutions. (English) Zbl 1470.76101 J. Math. Fluid Mech. 23, No. 2, Paper No. 38, 48 p. (2021). MSC: 76T06 76D07 35Q30 35R35 PDFBibTeX XMLCite \textit{H. Abels} and \textit{A. Marquardt}, J. Math. Fluid Mech. 23, No. 2, Paper No. 38, 48 p. (2021; Zbl 1470.76101) Full Text: DOI arXiv
Seshadri, Pradeep Kumar; De, Ashoke A robust sharp interface based immersed boundary framework for moving body problems with applications to laminar incompressible flows. (English) Zbl 1524.76247 Comput. Math. Appl. 83, 24-56 (2021). MSC: 76M12 76D05 76M20 74F10 76D50 PDFBibTeX XMLCite \textit{P. K. Seshadri} and \textit{A. De}, Comput. Math. Appl. 83, 24--56 (2021; Zbl 1524.76247) Full Text: DOI
Ghosh, Santanu; Bharadwaj S., Anand Development and application of immersed boundary methods for compressible flows. (English) Zbl 1512.76084 Roy, Somnath (ed.) et al., Immersed boundary method. Development and applications. Singapore: Springer. Comput. Methods Eng. Sci., 227-249 (2020). MSC: 76M99 76M12 76N15 76H05 76J20 76F50 76F40 80A19 PDFBibTeX XMLCite \textit{S. Ghosh} and \textit{A. Bharadwaj S.}, in: Immersed boundary method. Development and applications. Singapore: Springer. 227--249 (2020; Zbl 1512.76084) Full Text: DOI
Das, Pratik; Rai, Nirmal K.; Udaykumar, H. S. A levelset-based sharp-interface modified ghost fluid method for high-speed multiphase flows and multi-material hypervelocity impact. (English) Zbl 1512.76083 Roy, Somnath (ed.) et al., Immersed boundary method. Development and applications. Singapore: Springer. Comput. Methods Eng. Sci., 187-226 (2020). MSC: 76M99 76T30 76L05 76N15 PDFBibTeX XMLCite \textit{P. Das} et al., in: Immersed boundary method. Development and applications. Singapore: Springer. 187--226 (2020; Zbl 1512.76083) Full Text: DOI
Gilmanov, Anvar; Stolarski, Henryk; Sotiropoulos, Fotis Coupling the curvilinear immersed boundary method with rotation-free finite elements for simulating fluid-structure interaction: concepts and applications. (English) Zbl 1512.76085 Roy, Somnath (ed.) et al., Immersed boundary method. Development and applications. Singapore: Springer. Comput. Methods Eng. Sci., 107-138 (2020). MSC: 76M99 76F65 74F10 74S05 PDFBibTeX XMLCite \textit{A. Gilmanov} et al., in: Immersed boundary method. Development and applications. Singapore: Springer. 107--138 (2020; Zbl 1512.76085) Full Text: DOI
Das, Pratik; Udaykumar, H. S. A sharp-interface method for the simulation of shock-induced vaporization of droplets. (English) Zbl 1453.76126 J. Comput. Phys. 405, Article ID 109005, 38 p. (2020). MSC: 76M20 76T10 76L05 80A22 PDFBibTeX XMLCite \textit{P. Das} and \textit{H. S. Udaykumar}, J. Comput. Phys. 405, Article ID 109005, 38 p. (2020; Zbl 1453.76126) Full Text: DOI
Shen, Yi; Ren, Yi; Ding, Hang A 3D conservative sharp interface method for simulation of compressible two-phase flows. (English) Zbl 1453.76111 J. Comput. Phys. 403, Article ID 109107, 19 p. (2020). MSC: 76M12 76T10 PDFBibTeX XMLCite \textit{Y. Shen} et al., J. Comput. Phys. 403, Article ID 109107, 19 p. (2020; Zbl 1453.76111) Full Text: DOI
Sadasiva, S.; Vaitheeswaran, P.; Subbarayan, G. A phase field computational procedure for electromigration with specified contact angle and diffusional anisotropy. (English) Zbl 1466.74008 Comput. Mech. 66, No. 2, 373-390 (2020). MSC: 74F15 74R99 74E10 74S05 78A55 PDFBibTeX XMLCite \textit{S. Sadasiva} et al., Comput. Mech. 66, No. 2, 373--390 (2020; Zbl 1466.74008) Full Text: DOI
Ahmad, Masood; Siraj-ul-Islam; Larsson, Elisabeth Local meshless methods for second order elliptic interface problems with sharp corners. (English) Zbl 1437.65208 J. Comput. Phys. 416, Article ID 109500, 16 p. (2020). MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{M. Ahmad} et al., J. Comput. Phys. 416, Article ID 109500, 16 p. (2020; Zbl 1437.65208) Full Text: DOI
Puelz, Charles; Griffith, Boyce E. A sharp interface method for an immersed viscoelastic solid. (English) Zbl 1435.76040 J. Comput. Phys. 409, Article ID 109217, 25 p. (2020). MSC: 76M10 65M60 74F10 PDFBibTeX XMLCite \textit{C. Puelz} and \textit{B. E. Griffith}, J. Comput. Phys. 409, Article ID 109217, 25 p. (2020; Zbl 1435.76040) Full Text: DOI arXiv
Lu, Min-Jhe; Liu, Chun; Lowengrub, John; Li, Shuwang Complex far-field geometries determine the stability of solid tumor growth with chemotaxis. (English) Zbl 1439.92044 Bull. Math. Biol. 82, No. 3, Paper No. 39, 41 p. (2020). MSC: 92C17 92C32 35Q92 PDFBibTeX XMLCite \textit{M.-J. Lu} et al., Bull. Math. Biol. 82, No. 3, Paper No. 39, 41 p. (2020; Zbl 1439.92044) Full Text: DOI arXiv
Cao, Zhizhu; Sun, Dongliang; Wei, Jinjia; Yu, Bo; Li, Jingfa A coupled volume-of-fluid and level set method based on general curvilinear grids with accurate surface tension calculation. (English) Zbl 1452.76111 J. Comput. Phys. 396, 799-818 (2019). MSC: 76M12 76T10 76D45 PDFBibTeX XMLCite \textit{Z. Cao} et al., J. Comput. Phys. 396, 799--818 (2019; Zbl 1452.76111) Full Text: DOI
Gillis, T.; Marichal, Y.; Winckelmans, G.; Chatelain, P. A 2D immersed interface vortex particle-mesh method. (English) Zbl 1452.76171 J. Comput. Phys. 394, 700-718 (2019). MSC: 76M23 76M28 PDFBibTeX XMLCite \textit{T. Gillis} et al., J. Comput. Phys. 394, 700--718 (2019; Zbl 1452.76171) Full Text: DOI
Frachon, Thomas; Zahedi, Sara A cut finite element method for incompressible two-phase Navier-Stokes flows. (English) Zbl 1451.76067 J. Comput. Phys. 384, 77-98 (2019). MSC: 76M10 65M60 76T06 76D05 76D45 PDFBibTeX XMLCite \textit{T. Frachon} and \textit{S. Zahedi}, J. Comput. Phys. 384, 77--98 (2019; Zbl 1451.76067) Full Text: DOI arXiv
Tzou, Chung-Nan; Stechmann, Samuel N. Simple second-order finite differences for elliptic PDEs with discontinuous coefficients and interfaces. (English) Zbl 1434.65141 Commun. Appl. Math. Comput. Sci. 14, No. 2, 121-147 (2019). MSC: 65M06 35J05 76T30 35R05 76M20 PDFBibTeX XMLCite \textit{C.-N. Tzou} and \textit{S. N. Stechmann}, Commun. Appl. Math. Comput. Sci. 14, No. 2, 121--147 (2019; Zbl 1434.65141) Full Text: DOI arXiv
Lu, Min-Jhe; Liu, Chun; Li, Shuwang Nonlinear simulation of an elastic tumor-host interface. (English) Zbl 1425.92115 Comput. Math. Biophys. 7, No. 1, 25-47 (2019). MSC: 92C50 35Q92 PDFBibTeX XMLCite \textit{M.-J. Lu} et al., Comput. Math. Biophys. 7, No. 1, 25--47 (2019; Zbl 1425.92115) Full Text: DOI arXiv
Vasyliv, Yaroslav; Alexeev, Alexander Development of general finite differences for complex geometries using a sharp interface formulation. (English) Zbl 1456.65142 Comput. Fluids 193, Article ID 103959, 17 p. (2019). MSC: 65N06 65N08 35J05 PDFBibTeX XMLCite \textit{Y. Vasyliv} and \textit{A. Alexeev}, Comput. Fluids 193, Article ID 103959, 17 p. (2019; Zbl 1456.65142) Full Text: DOI
Jiang, Chen; Zhang, Zhi-Qian; Gao, Guang-Jun; Liu, G. R. A modified immersed smoothed FEM with local field reconstruction for fluid-structure interactions. (English) Zbl 1464.74182 Eng. Anal. Bound. Elem. 107, 218-232 (2019). MSC: 74S05 65M60 74F10 76D99 PDFBibTeX XMLCite \textit{C. Jiang} et al., Eng. Anal. Bound. Elem. 107, 218--232 (2019; Zbl 1464.74182) Full Text: DOI
Zhang, Mingyu; Deng, Xiao-Long; Shen, Zhijun A robust sharp interface method for SPH. (English) Zbl 1464.76165 Eng. Anal. Bound. Elem. 106, 275-285 (2019). MSC: 76M28 65M75 76Txx PDFBibTeX XMLCite \textit{M. Zhang} et al., Eng. Anal. Bound. Elem. 106, 275--285 (2019; Zbl 1464.76165) Full Text: DOI
Mitrias, Christos; Hulsen, Martien A.; Anderson, Patrick D. Fully implicit interface tracking for a viscous drop under simple shear. (English) Zbl 1411.76069 Comput. Fluids 184, 91-98 (2019). MSC: 76M10 65M60 76D45 PDFBibTeX XMLCite \textit{C. Mitrias} et al., Comput. Fluids 184, 91--98 (2019; Zbl 1411.76069) Full Text: DOI
Tian, Fang-Bao; Tobing, Sheila; Young, John; Lai, Joseph C. S.; Walker, Simon M.; Taylor, Graham K.; Thomas, Adrian L. R. Aerodynamic characteristics of hoverflies during hovering flight. (English) Zbl 1411.76188 Comput. Fluids 183, 75-83 (2019). MSC: 76Z10 76D05 PDFBibTeX XMLCite \textit{F.-B. Tian} et al., Comput. Fluids 183, 75--83 (2019; Zbl 1411.76188) Full Text: DOI Link
Jiang, Chen; Yao, Jian-Yao; Zhang, Zhi-Qian; Gao, Guang-Jun; Liu, G. R. A sharp-interface immersed smoothed finite element method for interactions between incompressible flows and large deformation solids. (English) Zbl 1440.76071 Comput. Methods Appl. Mech. Eng. 340, 24-53 (2018). MSC: 76M10 65M60 74F10 76D05 74S05 PDFBibTeX XMLCite \textit{C. Jiang} et al., Comput. Methods Appl. Mech. Eng. 340, 24--53 (2018; Zbl 1440.76071) Full Text: DOI
Kannan, Karthik; Kedelty, Dominic; Herrmann, Marcus An in-cell reconstruction finite volume method for flows of compressible immiscible fluids. (English) Zbl 1416.76154 J. Comput. Phys. 373, 784-810 (2018). MSC: 76M12 76T99 PDFBibTeX XMLCite \textit{K. Kannan} et al., J. Comput. Phys. 373, 784--810 (2018; Zbl 1416.76154) Full Text: DOI
Pan, Shucheng; Han, Luhui; Hu, Xiangyu; Adams, Nikolaus A. A conservative interface-interaction method for compressible multi-material flows. (English) Zbl 1415.76503 J. Comput. Phys. 371, 870-895 (2018). MSC: 76M25 76M12 76N15 76T30 PDFBibTeX XMLCite \textit{S. Pan} et al., J. Comput. Phys. 371, 870--895 (2018; Zbl 1415.76503) Full Text: DOI arXiv
Magiera, Jim; Rohde, Christian A particle-based multiscale solver for compressible liquid-vapor flow. (English) Zbl 1407.76123 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems II, Aachen, Germany, August 2016. Cham: Springer. Springer Proc. Math. Stat. 237, 291-304 (2018). MSC: 76M28 35Q35 76T10 PDFBibTeX XMLCite \textit{J. Magiera} and \textit{C. Rohde}, Springer Proc. Math. Stat. 237, 291--304 (2018; Zbl 1407.76123) Full Text: DOI arXiv
Chalons, Christophe; Magiera, Jim; Rohde, Christian; Wiebe, Maria A finite-volume tracking scheme for two-phase compressible flow. (English) Zbl 1405.76029 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems I, Aachen, Germany, August 2016. Cham: Springer (ISBN 978-3-319-91544-9/hbk; 978-3-319-91545-6/ebook). Springer Proceedings in Mathematics & Statistics 236, 309-322 (2018). MSC: 76M12 35L65 76M25 76T10 65M50 65M08 76N99 PDFBibTeX XMLCite \textit{C. Chalons} et al., Springer Proc. Math. Stat. 236, 309--322 (2018; Zbl 1405.76029) Full Text: DOI
Ehsan Khalili, M.; Larsson, Martin; Müller, Bernhard Immersed boundary method for viscous compressible flows around moving bodies. (English) Zbl 1410.76285 Comput. Fluids 170, 77-92 (2018). MSC: 76M20 65M06 76Nxx 76Q05 PDFBibTeX XMLCite \textit{M. Ehsan Khalili} et al., Comput. Fluids 170, 77--92 (2018; Zbl 1410.76285) Full Text: DOI
Das, Pratik; Sen, Oishik; Jacobs, Gustaaf; Udaykumar, H. S. A sharp interface Cartesian grid method for viscous simulation of shocked particle-laden flows. (English) Zbl 07518033 Int. J. Comput. Fluid Dyn. 31, No. 6-8, 269-291 (2017). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{P. Das} et al., Int. J. Comput. Fluid Dyn. 31, No. 6--8, 269--291 (2017; Zbl 07518033) Full Text: DOI
Montazeri, Hanif; Zandavi, Seyed Hadi; Bazylak, Aimy Sharp interface models for two-phase flows: insights towards new approaches. (English) Zbl 1439.76020 Comput. Methods Appl. Mech. Eng. 322, 238-261 (2017). MSC: 76D05 76D27 76Txx PDFBibTeX XMLCite \textit{H. Montazeri} et al., Comput. Methods Appl. Mech. Eng. 322, 238--261 (2017; Zbl 1439.76020) Full Text: DOI
Jaensson, N. O.; Hulsen, M. A.; Anderson, P. D. On the use of a diffuse-interface model for the simulation of rigid particles in two-phase Newtonian and viscoelastic fluids. (English) Zbl 1390.76323 Comput. Fluids 156, 81-96 (2017). MSC: 76M10 65M60 76A10 76T20 PDFBibTeX XMLCite \textit{N. O. Jaensson} et al., Comput. Fluids 156, 81--96 (2017; Zbl 1390.76323) Full Text: DOI Link
Zhou, Yan A sharp-interface treatment technique for two-phase flows in meshless methods. (English) Zbl 1390.76386 Comput. Fluids 147, 90-101 (2017). MSC: 76M10 65M60 76D05 76Txx PDFBibTeX XMLCite \textit{Y. Zhou}, Comput. Fluids 147, 90--101 (2017; Zbl 1390.76386) Full Text: DOI
Mohaghegh, Fazlolah; Udaykumar, H. S. Comparison of sharp and smoothed interface methods for simulation of particulate flows. II: Inertial and added mass effects. (English) Zbl 1390.76600 Comput. Fluids 143, 103-119 (2017). MSC: 76M20 65M06 74F10 76D05 76T20 PDFBibTeX XMLCite \textit{F. Mohaghegh} and \textit{H. S. Udaykumar}, Comput. Fluids 143, 103--119 (2017; Zbl 1390.76600) Full Text: DOI
Guittet, Arthur; Poignard, Clair; Gibou, Frederic A Voronoi interface approach to cell aggregate electropermeabilization. (English) Zbl 1378.92015 J. Comput. Phys. 332, 143-159 (2017). MSC: 92C37 65M08 PDFBibTeX XMLCite \textit{A. Guittet} et al., J. Comput. Phys. 332, 143--159 (2017; Zbl 1378.92015) Full Text: DOI
Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension. (English) Zbl 1375.76194 J. Comput. Phys. 336, 347-374 (2017). MSC: 76T10 76N15 76L05 76M10 76M12 PDFBibTeX XMLCite \textit{S. Fechter} et al., J. Comput. Phys. 336, 347--374 (2017; Zbl 1375.76194) Full Text: DOI arXiv
Hansbo, Peter; Larson, Mats G.; Zahedi, Sara A cut finite element method for coupled bulk-surface problems on time-dependent domains. (English) Zbl 1436.76025 Comput. Methods Appl. Mech. Eng. 307, 96-116 (2016). MSC: 76M10 65M60 74A50 PDFBibTeX XMLCite \textit{P. Hansbo} et al., Comput. Methods Appl. Mech. Eng. 307, 96--116 (2016; Zbl 1436.76025) Full Text: DOI arXiv
Song, Fangying; Xu, Chuanju; Karniadakis, George Em A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations. (English) Zbl 1423.76102 Comput. Methods Appl. Mech. Eng. 305, 376-404 (2016). MSC: 76D05 76M22 76Txx PDFBibTeX XMLCite \textit{F. Song} et al., Comput. Methods Appl. Mech. Eng. 305, 376--404 (2016; Zbl 1423.76102) Full Text: DOI
Mohaghegh, Fazlolah; Udaykumar, H. S. Comparison of sharp and smoothed interface methods for simulation of particulate flows. I: Fluid structure interaction for moderate Reynolds numbers. (English) Zbl 1390.76599 Comput. Fluids 140, 39-58 (2016). MSC: 76M20 65M06 74F10 76D05 76T20 PDFBibTeX XMLCite \textit{F. Mohaghegh} and \textit{H. S. Udaykumar}, Comput. Fluids 140, 39--58 (2016; Zbl 1390.76599) Full Text: DOI
Schranner, Felix S.; Hu, Xiangyu; Adams, Nikolaus A. On the convergence of the weakly compressible sharp-interface method for two-phase flows. (English) Zbl 1360.76205 J. Comput. Phys. 324, 94-114 (2016). MSC: 76M25 76N15 65M12 PDFBibTeX XMLCite \textit{F. S. Schranner} et al., J. Comput. Phys. 324, 94--114 (2016; Zbl 1360.76205) Full Text: DOI
Lepilliez, Mathieu; Popescu, Elena Roxana; Gibou, Frederic; Tanguy, Sébastien On two-phase flow solvers in irregular domains with contact line. (English) Zbl 1349.76355 J. Comput. Phys. 321, 1217-1251 (2016). MSC: 76M12 76T30 65M08 76D05 PDFBibTeX XMLCite \textit{M. Lepilliez} et al., J. Comput. Phys. 321, 1217--1251 (2016; Zbl 1349.76355) Full Text: DOI
Luo, J.; Hu, X. Y.; Adams, N. A. Curvature boundary condition for a moving contact line. (English) Zbl 1349.76872 J. Comput. Phys. 310, 329-341 (2016). MSC: 76T30 PDFBibTeX XMLCite \textit{J. Luo} et al., J. Comput. Phys. 310, 329--341 (2016; Zbl 1349.76872) Full Text: DOI
Schleper, Veronika A HLL-type Riemann solver for two-phase flow with surface forces and phase transitions. (English) Zbl 1381.76269 Appl. Numer. Math. 108, 256-270 (2016). MSC: 76M25 76Nxx 76Txx 65M25 PDFBibTeX XMLCite \textit{V. Schleper}, Appl. Numer. Math. 108, 256--270 (2016; Zbl 1381.76269) Full Text: DOI
Kang, Sangmo Dielectrophoretic motions of multiple particles under an alternating-current electric field. (English) Zbl 1408.76533 Eur. J. Mech., B, Fluids 54, 53-68 (2015). MSC: 76T20 76W05 PDFBibTeX XMLCite \textit{S. Kang}, Eur. J. Mech., B, Fluids 54, 53--68 (2015; Zbl 1408.76533) Full Text: DOI
Zhang, Mingyu; Deng, Xiao-Long A sharp interface method for SPH. (English) Zbl 1349.76755 J. Comput. Phys. 302, 469-484 (2015). MSC: 76M28 65M75 76D05 76Txx PDFBibTeX XMLCite \textit{M. Zhang} and \textit{X.-L. Deng}, J. Comput. Phys. 302, 469--484 (2015; Zbl 1349.76755) Full Text: DOI
Wang, Liqun; Shi, Liwei A numerical method for solving matrix coefficient heat equations with interfaces. (English) Zbl 1349.65491 Numer. Math., Theory Methods Appl. 8, No. 4, 475-495 (2015). MSC: 65M60 65M06 35K05 PDFBibTeX XMLCite \textit{L. Wang} and \textit{L. Shi}, Numer. Math., Theory Methods Appl. 8, No. 4, 475--495 (2015; Zbl 1349.65491) Full Text: DOI
Wang, Liqun; Hou, Songming; Shi, Liwei; Solow, James A numerical method for solving elasticity equations with interface involving multi-domains and triple junction points. (English) Zbl 1328.74084 Appl. Math. Comput. 251, 615-625 (2015). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{L. Wang} et al., Appl. Math. Comput. 251, 615--625 (2015; Zbl 1328.74084) Full Text: DOI
Antil, Harbir; Nochetto, Ricardo H.; Sodré, Patrick Optimal control of a free boundary problem with surface tension effects: a priori error analysis. (English) Zbl 1343.49043 SIAM J. Numer. Anal. 53, No. 5, 2279-2306 (2015). Reviewer: Aygul Manapova (Ufa) MSC: 49M25 49J20 49K20 35R35 35Q93 65N30 65N15 PDFBibTeX XMLCite \textit{H. Antil} et al., SIAM J. Numer. Anal. 53, No. 5, 2279--2306 (2015; Zbl 1343.49043) Full Text: DOI arXiv
Kang, Sangmo Dielectrophoretic motion of two particles with diverse sets of the electric conductivity under a uniform electric field. (English) Zbl 1391.76423 Comput. Fluids 105, 231-243 (2014). MSC: 76M12 65N08 76W05 78A48 PDFBibTeX XMLCite \textit{S. Kang}, Comput. Fluids 105, 231--243 (2014; Zbl 1391.76423) Full Text: DOI
Zhang, Cheng; Lin, Nansheng; Tang, Youhong; Zhao, Chengbi A sharp interface immersed boundary/VOF model coupled with wave generating and absorbing options for wave-structure interaction. (English) Zbl 1391.76503 Comput. Fluids 89, 214-231 (2014). MSC: 76M20 65M06 74F10 76D05 PDFBibTeX XMLCite \textit{C. Zhang} et al., Comput. Fluids 89, 214--231 (2014; Zbl 1391.76503) Full Text: DOI
Huang, Rongzong; Wu, Huiying An immersed boundary-thermal lattice Boltzmann method for solid-liquid phase change. (English) Zbl 1349.82054 J. Comput. Phys. 277, 305-319 (2014). MSC: 82C40 82C80 76M28 PDFBibTeX XMLCite \textit{R. Huang} and \textit{H. Wu}, J. Comput. Phys. 277, 305--319 (2014; Zbl 1349.82054) Full Text: DOI
Wang, Liqun; Shi, Liwei A simple method for matrix-valued coefficient elliptic equations with sharp-edged interfaces. (English) Zbl 1337.65161 Appl. Math. Comput. 242, 917-930 (2014). MSC: 65N30 PDFBibTeX XMLCite \textit{L. Wang} and \textit{L. Shi}, Appl. Math. Comput. 242, 917--930 (2014; Zbl 1337.65161) Full Text: DOI
Wang, Liqun; Hou, Songming; Shi, Liwei An improved non-traditional finite element formulation for solving the elliptic interface problems. (English) Zbl 1313.65312 J. Comput. Math. 32, No. 1, 39-57 (2014). MSC: 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Comput. Math. 32, No. 1, 39--57 (2014; Zbl 1313.65312)
Hansbo, Peter; Larson, Mats G.; Zahedi, Sara A cut finite element method for a Stokes interface problem. (English) Zbl 1299.76136 Appl. Numer. Math. 85, 90-114 (2014). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76M10 76T99 76D07 76M25 PDFBibTeX XMLCite \textit{P. Hansbo} et al., Appl. Numer. Math. 85, 90--114 (2014; Zbl 1299.76136) Full Text: DOI arXiv
Kapahi, A.; Sambasivan, S.; Udaykumar, H. S. A three-dimensional sharp interface Cartesian grid method for solving high speed multi-material impact, penetration and fragmentation problems. (English) Zbl 1349.74376 J. Comput. Phys. 241, 308-332 (2013). MSC: 74S30 74M20 74R99 65Y05 PDFBibTeX XMLCite \textit{A. Kapahi} et al., J. Comput. Phys. 241, 308--332 (2013; Zbl 1349.74376) Full Text: DOI
Chang, Chih-Hao; Deng, Xiaolong; Theofanous, Theo G. Direct numerical simulation of interfacial instabilities: A consistent, conservative, all-speed, sharp-interface method. (English) Zbl 1299.76097 J. Comput. Phys. 242, 946-990 (2013). MSC: 76F65 76M25 PDFBibTeX XMLCite \textit{C.-H. Chang} et al., J. Comput. Phys. 242, 946--990 (2013; Zbl 1299.76097) Full Text: DOI
Kapahi, A.; Sambasivan, S.; Udaykumar, H. S. Simulation of collapse and fragmentation phenomena in a sharp interface Eulerian setting. (English) Zbl 1290.76005 Comput. Fluids 87, 26-40 (2013). MSC: 76-04 76T99 65M06 74M20 PDFBibTeX XMLCite \textit{A. Kapahi} et al., Comput. Fluids 87, 26--40 (2013; Zbl 1290.76005) Full Text: DOI
Kapahi, A.; Mousel, J.; Sambasivan, S.; Udaykumar, H. S. Parallel, sharp interface Eulerian approach to high-speed multi-material flows. (English) Zbl 1290.76134 Comput. Fluids 83, 144-156 (2013). MSC: 76N15 76M20 PDFBibTeX XMLCite \textit{A. Kapahi} et al., Comput. Fluids 83, 144--156 (2013; Zbl 1290.76134) Full Text: DOI
Ferrari, Angela; Munz, Claus-Dieter; Weigand, Bernhard A high order sharp-interface method with local time stepping for compressible multiphase flows. (English) Zbl 1284.76265 Commun. Comput. Phys. 9, No. 1, 205-230 (2011). MSC: 76M12 76N15 76T10 PDFBibTeX XMLCite \textit{A. Ferrari} et al., Commun. Comput. Phys. 9, No. 1, 205--230 (2011; Zbl 1284.76265) Full Text: DOI Link
Sambasivan, Shiv K.; Udaykumar, H. S. A sharp interface method for high-speed multi-material flows: strong shocks and arbitrary materialpairs. (English) Zbl 1271.76255 Int. J. Comput. Fluid Dyn. 25, No. 1-5, 139-162 (2011). MSC: 76M25 76N15 76L05 PDFBibTeX XMLCite \textit{S. K. Sambasivan} and \textit{H. S. Udaykumar}, Int. J. Comput. Fluid Dyn. 25, No. 1--5, 139--162 (2011; Zbl 1271.76255) Full Text: DOI
Tai, Cheng-Feng; Chung, J. N. A direct numerical simulation of axisymmetric cryogenic two-phase flows in a pipe with phase change. (English) Zbl 1271.76197 Comput. Fluids 48, No. 1, 163-182 (2011). MSC: 76M12 76T10 80A22 80A20 PDFBibTeX XMLCite \textit{C.-F. Tai} and \textit{J. N. Chung}, Comput. Fluids 48, No. 1, 163--182 (2011; Zbl 1271.76197) Full Text: DOI Link
Tai, Cheng-Feng; Chung, J. N. A direct numerical simulation of axisymmetric liquid – gas two-phase laminar flows in a pipe. (English) Zbl 1429.76106 Int. J. Numer. Methods Fluids 66, No. 1, 97-122 (2011). MSC: 76T10 76M12 76-10 PDFBibTeX XMLCite \textit{C.-F. Tai} and \textit{J. N. Chung}, Int. J. Numer. Methods Fluids 66, No. 1, 97--122 (2011; Zbl 1429.76106) Full Text: DOI
Sambasivan, Shiv Kumar; Udaykumar, H. S. Sharp interface simulations with local mesh refinement for multi-material dynamics in strongly shocked flows. (English) Zbl 1245.76111 Comput. Fluids 39, No. 9, 1456-1479 (2010). MSC: 76M25 76L05 PDFBibTeX XMLCite \textit{S. K. Sambasivan} and \textit{H. S. Udaykumar}, Comput. Fluids 39, No. 9, 1456--1479 (2010; Zbl 1245.76111) Full Text: DOI
Tai, Cheng-feng; Chung, J. N. A direct numerical simulation of annular two-phase laminar flow and heat transfer in a circular pipe. (English) Zbl 1242.80002 Int. J. Comput. Methods Eng. Sci. Mech. 11, No. 4, 230-246 (2010). Reviewer: Bal Swaroop Bhatt (St. Augustine) MSC: 80A20 80M12 76T10 76D05 76M12 PDFBibTeX XMLCite \textit{C.-f. Tai} and \textit{J. N. Chung}, Int. J. Comput. Methods Eng. Sci. Mech. 11, No. 4, 230--246 (2010; Zbl 1242.80002) Full Text: DOI
Agarwal, Alpana; Tai, C. F.; Chung, J. N. Unsteady development of a deformable bubble rising in a quiescent liquid. (English) Zbl 1227.76062 Comput. Methods Appl. Mech. Eng. 199, No. 17-20, 1080-1090 (2010). MSC: 76T10 76M12 PDFBibTeX XMLCite \textit{A. Agarwal} et al., Comput. Methods Appl. Mech. Eng. 199, No. 17--20, 1080--1090 (2010; Zbl 1227.76062) Full Text: DOI
Hou, Songming; Wang, Wei; Wang, Liqun Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces. (English) Zbl 1197.65183 J. Comput. Phys. 229, No. 19, 7162-7179 (2010). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{S. Hou} et al., J. Comput. Phys. 229, No. 19, 7162--7179 (2010; Zbl 1197.65183) Full Text: DOI
Gasda, S. E.; Nordbotten, J. M.; Celia, M. A. Vertical equilibrium with sub-scale analytical methods for geological CO\(_{2}\) sequestration. (English) Zbl 1190.86013 Comput. Geosci. 13, No. 4, 469-481 (2009). MSC: 86A60 76M25 PDFBibTeX XMLCite \textit{S. E. Gasda} et al., Comput. Geosci. 13, No. 4, 469--481 (2009; Zbl 1190.86013) Full Text: DOI
Yang, Jianming; Stern, Frederick Sharp interface immersed-boundary/level-set method for wave-body interactions. (English) Zbl 1261.76040 J. Comput. Phys. 228, No. 17, 6590-6616 (2009). MSC: 76M25 65M06 76F65 76T99 PDFBibTeX XMLCite \textit{J. Yang} and \textit{F. Stern}, J. Comput. Phys. 228, No. 17, 6590--6616 (2009; Zbl 1261.76040) Full Text: DOI
Zhao, P.; Heinrich, J. C.; Poirier, D. R. Numerical simulation of crystal growth in three dimensions using a sharp-interface finite element method. (English) Zbl 1194.76147 Int. J. Numer. Methods Eng. 71, No. 1, 25-46 (2007). MSC: 76M10 76T99 80A22 PDFBibTeX XMLCite \textit{P. Zhao} et al., Int. J. Numer. Methods Eng. 71, No. 1, 25--46 (2007; Zbl 1194.76147) Full Text: DOI
Sussman, Mark; Ohta, Mitsuhiro Improvements for calculating two-phase bubble and drop motion using an adaptive sharp interface method. (English) Zbl 1153.76436 FDMP, Fluid Dyn. Mater. Process. 3, No. 1, 21-36 (2007). MSC: 76T10 76M25 PDFBibTeX XMLCite \textit{M. Sussman} and \textit{M. Ohta}, FDMP, Fluid Dyn. Mater. Process. 3, No. 1, 21--36 (2007; Zbl 1153.76436)
Yu, Sining; Zhou, Yongcheng; Wei, G. W. Matched interface and boundary (MIB) method for elliptic problems with sharp-edged interfaces. (English) Zbl 1120.65333 J. Comput. Phys. 224, No. 2, 729-756 (2007). MSC: 65N06 65N12 35J05 PDFBibTeX XMLCite \textit{S. Yu} et al., J. Comput. Phys. 224, No. 2, 729--756 (2007; Zbl 1120.65333) Full Text: DOI
Liu, H.; Krishnan, S.; Marella, S.; Udaykumar, H. S. Sharp interface Cartesian grid method. II: A technique for simulating droplet interactions with surfaces of arbitrary shape. (English) Zbl 1154.76358 J. Comput. Phys. 210, No. 1, 32-54 (2005). MSC: 76M20 65M50 76D05 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Comput. Phys. 210, No. 1, 32--54 (2005; Zbl 1154.76358) Full Text: DOI
Marella, S.; Krishnan, S.; Liu, H.; Udaykumar, H. S. Sharp interface Cartesian grid method. I: An easily implemented technique for 3D moving boundary computations. (English) Zbl 1154.76359 J. Comput. Phys. 210, No. 1, 1-31 (2005). MSC: 76M20 65M50 PDFBibTeX XMLCite \textit{S. Marella} et al., J. Comput. Phys. 210, No. 1, 1--31 (2005; Zbl 1154.76359) Full Text: DOI
Gross, D. Morphological equilibrium and kinetics of two-phase materials. (English) Zbl 1072.74003 Kienzler, Reinhold (ed.) et al., Configurational mechanics of materials. CISM course, Udine, Italy, September 11–15, 2000. Wien: Springer (ISBN 3-211-83338-2/pbk). CISM Courses Lect. 427, 221-272 (2001). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 74A40 74E05 74S15 74S30 PDFBibTeX XMLCite \textit{D. Gross}, CISM Courses Lect. 427, 221--272 (2001; Zbl 1072.74003)
Alber, Hans-Dieter Evolving microstructure and homogenization. (English) Zbl 0983.74045 Contin. Mech. Thermodyn. 12, No. 4, 235-286 (2000). Reviewer: Nina Kirchner (Darmstadt) MSC: 74N15 74Q10 74M25 PDFBibTeX XMLCite \textit{H.-D. Alber}, Contin. Mech. Thermodyn. 12, No. 4, 235--286 (2000; Zbl 0983.74045) Full Text: DOI
Pettinger, A.; Abeyaratne, R. On the nucleation and propagation of thermoelastic phase transformations in anti-plane shear. I: Couple-stress theory. II: Problems. (English) Zbl 0983.74047 Comput. Mech. 26, No. 1, 13-38 (2000). Reviewer: Arkadi Berezovski (Tallinn) MSC: 74N20 80A22 PDFBibTeX XMLCite \textit{A. Pettinger} and \textit{R. Abeyaratne}, Comput. Mech. 26, No. 1, 13--38 (2000; Zbl 0983.74047) Full Text: DOI
Hou, Thomas Y.; Rosakis, Phoebus; LeFloch, Philippe A level-set approach to the computation of twinning and phase-transition dynamics. (English) Zbl 0936.74052 J. Comput. Phys. 150, No. 2, 302-331 (1999). MSC: 74N20 74S30 PDFBibTeX XMLCite \textit{T. Y. Hou} et al., J. Comput. Phys. 150, No. 2, 302--331 (1999; Zbl 0936.74052) Full Text: DOI
Yi, Fahuai A free boundary problem of type-I superconductivity. (English) Zbl 0929.35159 Acta Math. Appl. Sin., Engl. Ser. 14, No. 1, 48-57 (1998). MSC: 35Q60 35R35 82D55 35A05 PDFBibTeX XMLCite \textit{F. Yi}, Acta Math. Appl. Sin., Engl. Ser. 14, No. 1, 48--57 (1998; Zbl 0929.35159) Full Text: DOI
Fabbri, M.; Voller, V. R. The phase-field method in the sharp-interface limit: A comparison between model potentials. (English) Zbl 0868.65094 J. Comput. Phys. 130, No. 2, 256-265 (1997). Reviewer: V.A.Kostova (Russe) MSC: 65Z05 65M12 35Q72 35K05 35R35 80A22 PDFBibTeX XMLCite \textit{M. Fabbri} and \textit{V. R. Voller}, J. Comput. Phys. 130, No. 2, 256--265 (1997; Zbl 0868.65094) Full Text: DOI
Kopriva, David A. Spectral solution of inviscid supersonic flows over wedges and axisymmetric cones. (English) Zbl 0753.76135 Comput. Fluids 21, No. 2, 247-266 (1992). MSC: 76M25 76J20 65N35 65M70 PDFBibTeX XMLCite \textit{D. A. Kopriva}, Comput. Fluids 21, No. 2, 247--266 (1992; Zbl 0753.76135) Full Text: DOI
Caginalp, G.; Socolovsky, E. A. Efficient computation of a sharp interface by spreading via phase field methods. (English) Zbl 0705.65101 Appl. Math. Lett. 2, No. 2, 117-120 (1989). MSC: 65Z05 65M20 35K05 35R35 80A22 PDFBibTeX XMLCite \textit{G. Caginalp} and \textit{E. A. Socolovsky}, Appl. Math. Lett. 2, No. 2, 117--120 (1989; Zbl 0705.65101) Full Text: DOI
Glimm, J.; McBryan, O.; Menikoff, R.; Sharp, D. H. Front tracking applied to Rayleigh-Taylor instability. (English) Zbl 0582.76107 SIAM J. Sci. Stat. Comput. 7, 230-251 (1986). MSC: 76T99 76D05 76M99 PDFBibTeX XMLCite \textit{J. Glimm} et al., SIAM J. Sci. Stat. Comput. 7, 230--251 (1986; Zbl 0582.76107) Full Text: DOI