Liu, M.; Bothe, D.; Yang, Yiren; Chen, Hao Computation of interfacial flows using continuous surface stress method with adaptive mesh refinement in a quad/octree grid structure. (English) Zbl 07575003 Comput. Fluids 245, Article ID 105610, 12 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{M. Liu} et al., Comput. Fluids 245, Article ID 105610, 12 p. (2022; Zbl 07575003) Full Text: DOI OpenURL
Zhao, Shuo; Zhang, Jie; Ni, Ming-Jiu Boiling and evaporation model for liquid-gas flows: a sharp and conservative method based on the geometrical VOF approach. (English) Zbl 07517737 J. Comput. Phys. 452, Article ID 110908, 30 p. (2022). MSC: 76Mxx 76Txx 80Axx PDF BibTeX XML Cite \textit{S. Zhao} et al., J. Comput. Phys. 452, Article ID 110908, 30 p. (2022; Zbl 07517737) Full Text: DOI OpenURL
Zeng, Yadong; Xuan, Anqing; Blaschke, Johannes; Shen, Lian A parallel cell-centered adaptive level set framework for efficient simulation of two-phase flows with subcycling and non-subcycling. (English) Zbl 07516823 J. Comput. Phys. 448, Article ID 110740, 31 p. (2022). MSC: 76Mxx 65Mxx 76Dxx PDF BibTeX XML Cite \textit{Y. Zeng} et al., J. Comput. Phys. 448, Article ID 110740, 31 p. (2022; Zbl 07516823) Full Text: DOI OpenURL
Zeng, Yadong; Bhalla, Amneet Pal Singh; Shen, Lian A subcycling/non-subcycling time advancement scheme-based DLM immersed boundary method framework for solving single and multiphase fluid-structure interaction problems on dynamically adaptive grids. (English) Zbl 07512558 Comput. Fluids 238, Article ID 105358, 22 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{Y. Zeng} et al., Comput. Fluids 238, Article ID 105358, 22 p. (2022; Zbl 07512558) Full Text: DOI OpenURL
Arun, K. R.; Das Gupta, A. J.; Samantaray, S. Analysis of an asymptotic preserving low Mach number accurate IMEX-RK scheme for the wave equation system. (English) Zbl 07426864 Appl. Math. Comput. 411, Article ID 126469, 20 p. (2021). MSC: 35L05 35L45 35L60 35L65 65M06 65M08 PDF BibTeX XML Cite \textit{K. R. Arun} et al., Appl. Math. Comput. 411, Article ID 126469, 20 p. (2021; Zbl 07426864) Full Text: DOI arXiv OpenURL
Gómez, Pablo; Zanzi, Claudio; López, Joaquín; Hernández, Julio Simulation of high density ratio interfacial flows on cell vertex/edge-based staggered octree grids with second-order discretization at irregular nodes. (English) Zbl 1416.76037 J. Comput. Phys. 376, 478-507 (2019). MSC: 76D05 76M20 76D45 76T99 PDF BibTeX XML Cite \textit{P. Gómez} et al., J. Comput. Phys. 376, 478--507 (2019; Zbl 1416.76037) Full Text: DOI OpenURL
Feng, Wenqiang; Guo, Zhenlin; Lowengrub, John S.; Wise, Steven M. A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-Cartesian grids. (English) Zbl 1380.65402 J. Comput. Phys. 352, 463-497 (2018). MSC: 65N55 65N06 65M55 65M06 35J05 PDF BibTeX XML Cite \textit{W. Feng} et al., J. Comput. Phys. 352, 463--497 (2018; Zbl 1380.65402) Full Text: DOI OpenURL
Batty, Christopher A cell-centred finite volume method for the Poisson problem on non-graded quadtrees with second order accurate gradients. (English) Zbl 1380.65399 J. Comput. Phys. 331, 49-72 (2017). MSC: 65N50 65N08 35J05 PDF BibTeX XML Cite \textit{C. Batty}, J. Comput. Phys. 331, 49--72 (2017; Zbl 1380.65399) Full Text: DOI Link OpenURL
Owkes, Mark; Desjardins, Olivier A mass and momentum conserving unsplit semi-Lagrangian framework for simulating multiphase flows. (English) Zbl 1378.76119 J. Comput. Phys. 332, 21-46 (2017). MSC: 76T10 65M50 PDF BibTeX XML Cite \textit{M. Owkes} and \textit{O. Desjardins}, J. Comput. Phys. 332, 21--46 (2017; Zbl 1378.76119) Full Text: DOI OpenURL
Sifounakis, Adamandios; Lee, Sangseung; You, Donghyun A conservative finite volume method for incompressible Navier-Stokes equations on locally refined nested Cartesian grids. (English) Zbl 1373.76145 J. Comput. Phys. 326, 845-861 (2016). MSC: 76M12 76D05 76E06 PDF BibTeX XML Cite \textit{A. Sifounakis} et al., J. Comput. Phys. 326, 845--861 (2016; Zbl 1373.76145) Full Text: DOI OpenURL
Chen, Ying; Shen, Jie Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models. (English) Zbl 1352.65229 J. Comput. Phys. 308, 40-56 (2016). MSC: 65M06 65M12 76D05 76M20 76Txx PDF BibTeX XML Cite \textit{Y. Chen} and \textit{J. Shen}, J. Comput. Phys. 308, 40--56 (2016; Zbl 1352.65229) Full Text: DOI OpenURL
Christon, Mark A.; Bakosi, Jozsef; Nadiga, Balasubramanya T.; Berndt, Markus; Francois, Marianne M.; Stagg, Alan K.; Xia, Yidong; Luo, Hong A hybrid incremental projection method for thermal-hydraulics applications. (English) Zbl 1349.76190 J. Comput. Phys. 317, 382-404 (2016). MSC: 76M10 65M60 76D05 76M12 PDF BibTeX XML Cite \textit{M. A. Christon} et al., J. Comput. Phys. 317, 382--404 (2016; Zbl 1349.76190) Full Text: DOI OpenURL
Plunkett, Pat; Hu, Jonathan; Siefert, Christopher; Atzberger, Paul J. Spatially adaptive stochastic methods for fluid-structure interactions subject to thermal fluctuations in domains with complex geometries. (English) Zbl 1349.76252 J. Comput. Phys. 277, 121-137 (2014). MSC: 76M10 74S05 65M60 35R60 60H35 65M75 74F10 76D07 PDF BibTeX XML Cite \textit{P. Plunkett} et al., J. Comput. Phys. 277, 121--137 (2014; Zbl 1349.76252) Full Text: DOI arXiv OpenURL
Pletzer, Alexander; Jamroz, Ben; Crockett, Robert; Sides, Scott Compact cell-centered discretization stencils at fine-coarse block structured grid interfaces. (English) Zbl 1349.65570 J. Comput. Phys. 260, 25-36 (2014). MSC: 65N06 65M06 PDF BibTeX XML Cite \textit{A. Pletzer} et al., J. Comput. Phys. 260, 25--36 (2014; Zbl 1349.65570) Full Text: DOI OpenURL
Zhang, Jie; Ni, Ming-Jiu A consistent and conservative scheme for MHD flows with complex boundaries on an unstructured Cartesian adaptive system. (English) Zbl 1349.76411 J. Comput. Phys. 256, 520-542 (2014). MSC: 76M12 76W05 65M08 65M12 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{M.-J. Ni}, J. Comput. Phys. 256, 520--542 (2014; Zbl 1349.76411) Full Text: DOI OpenURL
Borazjani, Iman; Ge, Liang; Le, Trung; Sotiropoulos, Fotis A parallel overset-curvilinear-immersed boundary framework for simulating complex 3D incompressible flows. (English) Zbl 1284.76262 Comput. Fluids 77, 76-96 (2013). MSC: 76M12 76Z05 65M08 92C35 PDF BibTeX XML Cite \textit{I. Borazjani} et al., Comput. Fluids 77, 76--96 (2013; Zbl 1284.76262) Full Text: DOI Link OpenURL
Griffith, Boyce E. Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions. (English) Zbl 1243.92017 Int. J. Numer. Methods Biomed. Eng. 28, No. 3, 317-345 (2012). MSC: 92C35 74F10 76D05 76M25 PDF BibTeX XML Cite \textit{B. E. Griffith}, Int. J. Numer. Methods Biomed. Eng. 28, No. 3, 317--345 (2012; Zbl 1243.92017) Full Text: DOI arXiv OpenURL
Liu, Qianlong A stable and accurate projection method on a locally refined staggered mesh. (English) Zbl 1303.76107 Int. J. Numer. Methods Fluids 67, No. 1, 74-92 (2011). MSC: 76M25 PDF BibTeX XML Cite \textit{Q. Liu}, Int. J. Numer. Methods Fluids 67, No. 1, 74--92 (2011; Zbl 1303.76107) Full Text: DOI OpenURL
Lee, Long A class of high-resolution algorithms for incompressible flows. (English) Zbl 1242.76170 Comput. Fluids 39, No. 6, 1022-1032 (2010). MSC: 76M12 76D05 PDF BibTeX XML Cite \textit{L. Lee}, Comput. Fluids 39, No. 6, 1022--1032 (2010; Zbl 1242.76170) Full Text: DOI OpenURL
Peng, Yih-Ferng; Mittal, Rajat; Sau, Amalendu; Hwang, Robert R. Nested Cartesian grid method in incompressible viscous fluid flow. (English) Zbl 1425.76065 J. Comput. Phys. 229, No. 19, 7072-7101 (2010). MSC: 76D05 76M25 PDF BibTeX XML Cite \textit{Y.-F. Peng} et al., J. Comput. Phys. 229, No. 19, 7072--7101 (2010; Zbl 1425.76065) Full Text: DOI OpenURL
Atzberger, Paul J. Spatially adaptive stochastic numerical methods for intrinsic fluctuations in reaction-diffusion systems. (English) Zbl 1187.65004 J. Comput. Phys. 229, No. 9, 3474-3501 (2010). MSC: 65C30 60H15 60H35 35R60 35K57 PDF BibTeX XML Cite \textit{P. J. Atzberger}, J. Comput. Phys. 229, No. 9, 3474--3501 (2010; Zbl 1187.65004) Full Text: DOI OpenURL
Dellacherie, Stéphane Analysis of Godunov type schemes applied to the compressible Euler system at low Mach number. (English) Zbl 1329.76228 J. Comput. Phys. 229, No. 4, 978-1016 (2010). MSC: 76M20 65M06 76D05 PDF BibTeX XML Cite \textit{S. Dellacherie}, J. Comput. Phys. 229, No. 4, 978--1016 (2010; Zbl 1329.76228) Full Text: DOI OpenURL
Delage-Santacreu, Stephanie; Vincent, Stephane; Caltagirone, Jean-Paul Tracking fronts in one and two-phase incompressible flows using an adaptive mesh refinement approach. (English) Zbl 1203.76157 J. Sci. Comput. 41, No. 2, 221-237 (2009). MSC: 76T10 65M50 PDF BibTeX XML Cite \textit{S. Delage-Santacreu} et al., J. Sci. Comput. 41, No. 2, 221--237 (2009; Zbl 1203.76157) Full Text: DOI HAL OpenURL
Griffith, Boyce E. An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner. (English) Zbl 1391.76474 J. Comput. Phys. 228, No. 20, 7565-7595 (2009). MSC: 76M20 65M06 76D05 PDF BibTeX XML Cite \textit{B. E. Griffith}, J. Comput. Phys. 228, No. 20, 7565--7595 (2009; Zbl 1391.76474) Full Text: DOI OpenURL
Vater, Stefan; Klein, Rupert Stability of a Cartesian grid projection method for zero Froude number shallow water flows. (English) Zbl 1419.76445 Numer. Math. 113, No. 1, 123-161 (2009). MSC: 76M10 65M12 PDF BibTeX XML Cite \textit{S. Vater} and \textit{R. Klein}, Numer. Math. 113, No. 1, 123--161 (2009; Zbl 1419.76445) Full Text: DOI OpenURL
Zhang, Qinghai; Liu, Philip L.-F. HyPAM: A hybrid continuum-particle model for incompressible free-surface flows. (English) Zbl 1330.76106 J. Comput. Phys. 228, No. 4, 1312-1342 (2009). MSC: 76M25 76M28 65M99 PDF BibTeX XML Cite \textit{Q. Zhang} and \textit{P. L. F. Liu}, J. Comput. Phys. 228, No. 4, 1312--1342 (2009; Zbl 1330.76106) Full Text: DOI OpenURL
Kadioglu, Samet Y.; Sussman, Mark Adaptive solution techniques for simulating underwater explosions and implosions. (English) Zbl 1290.76099 J. Comput. Phys. 227, No. 3, 2083-2104 (2008). MSC: 76M20 76M25 65M06 PDF BibTeX XML Cite \textit{S. Y. Kadioglu} and \textit{M. Sussman}, J. Comput. Phys. 227, No. 3, 2083--2104 (2008; Zbl 1290.76099) Full Text: DOI OpenURL
Martin, Daniel F.; Colella, Phillip; Graves, Daniel A cell-centered adaptive projection method for the incompressible Navier-Stokes equations in three dimensions. (English) Zbl 1137.76040 J. Comput. Phys. 227, No. 3, 1863-1886 (2008). MSC: 76M12 76D05 PDF BibTeX XML Cite \textit{D. F. Martin} et al., J. Comput. Phys. 227, No. 3, 1863--1886 (2008; Zbl 1137.76040) Full Text: DOI OpenURL
Miniati, Francesco; Colella, Phillip Block structured adaptive mesh and time refinement for hybrid, hyperbolic \(+ N\)-body systems. (English) Zbl 1128.85007 J. Comput. Phys. 227, No. 1, 400-430 (2007). MSC: 85A35 65M55 76M28 PDF BibTeX XML Cite \textit{F. Miniati} and \textit{P. Colella}, J. Comput. Phys. 227, No. 1, 400--430 (2007; Zbl 1128.85007) Full Text: DOI arXiv OpenURL
Griffith, Boyce E.; Hornung, Richard D.; McQueen, David M.; Peskin, Charles S. An adaptive, formally second order accurate version of the immersed boundary method. (English) Zbl 1163.76041 J. Comput. Phys. 223, No. 1, 10-49 (2007). MSC: 76M25 74F10 76Z05 92C10 65M06 PDF BibTeX XML Cite \textit{B. E. Griffith} et al., J. Comput. Phys. 223, No. 1, 10--49 (2007; Zbl 1163.76041) Full Text: DOI OpenURL
Ding, H.; Shu, Chang A stencil adaptive algorithm for finite difference solution of incompressible viscous flows. (English) Zbl 1088.76042 J. Comput. Phys. 214, No. 1, 397-420 (2006). MSC: 76M20 76D05 PDF BibTeX XML Cite \textit{H. Ding} and \textit{C. Shu}, J. Comput. Phys. 214, No. 1, 397--420 (2006; Zbl 1088.76042) Full Text: DOI OpenURL
Griffith, Boyce E.; Peskin, Charles S. On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems. (English) Zbl 1115.76386 J. Comput. Phys. 208, No. 1, 75-105 (2005). MSC: 76M25 65M99 74D99 74F10 76D05 PDF BibTeX XML Cite \textit{B. E. Griffith} and \textit{C. S. Peskin}, J. Comput. Phys. 208, No. 1, 75--105 (2005; Zbl 1115.76386) Full Text: DOI OpenURL
Anderson, Anthony; Zheng, Xiaoming; Cristini, Vittorio Adaptive unstructured volume remeshing. I: The method. (English) Zbl 1075.65119 J. Comput. Phys. 208, No. 2, 616-625 (2005). MSC: 65M50 PDF BibTeX XML Cite \textit{A. Anderson} et al., J. Comput. Phys. 208, No. 2, 616--625 (2005; Zbl 1075.65119) Full Text: DOI OpenURL
Barad, Michael; Colella, Phillip A fourth-order accurate local refinement method for Poisson’s equation. (English) Zbl 1073.65126 J. Comput. Phys. 209, No. 1, 1-18 (2005). MSC: 65N30 65N15 65N12 65N55 65N50 35J05 PDF BibTeX XML Cite \textit{M. Barad} and \textit{P. Colella}, J. Comput. Phys. 209, No. 1, 1--18 (2005; Zbl 1073.65126) Full Text: DOI OpenURL
Guy, Robert D.; Fogelson, Aaron L. Stability of approximate projection methods on cell-centered grids. (English) Zbl 1143.76558 J. Comput. Phys. 203, No. 2, 517-538 (2005). MSC: 76M99 76D05 PDF BibTeX XML Cite \textit{R. D. Guy} and \textit{A. L. Fogelson}, J. Comput. Phys. 203, No. 2, 517--538 (2005; Zbl 1143.76558) Full Text: DOI OpenURL
Ceniceros, Hector D.; Roma, Alexandre M. Study of the long-time dynamics of a viscous vortex sheet with a fully adaptive nonstiff method. (English) Zbl 1187.76085 Phys. Fluids 16, No. 12, Paper No. 4285, 34 p. (2004). MSC: 76-XX PDF BibTeX XML Cite \textit{H. D. Ceniceros} and \textit{A. M. Roma}, Phys. Fluids 16, No. 12, Paper No. 4285, 34 p. (2004; Zbl 1187.76085) Full Text: DOI Link OpenURL
Dagan, A. Numerical consistency and spurious boundary layer in the projection method. (English) Zbl 1140.76389 Comput. Fluids 32, No. 9, 1213-1232 (2003). MSC: 76M20 76D10 PDF BibTeX XML Cite \textit{A. Dagan}, Comput. Fluids 32, No. 9, 1213--1232 (2003; Zbl 1140.76389) Full Text: DOI OpenURL
Popinet, Stéphane Gerris: A tree-based adaptive solver for the incompressible Euler equations in complex geometries. (English) Zbl 1076.76002 J. Comput. Phys. 190, No. 2, 572-600 (2003). MSC: 76-04 65M50 76M12 PDF BibTeX XML Cite \textit{S. Popinet}, J. Comput. Phys. 190, No. 2, 572--600 (2003; Zbl 1076.76002) Full Text: DOI OpenURL
Sussman, Mark A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles. (English) Zbl 1047.76085 J. Comput. Phys. 187, No. 1, 110-136 (2003). MSC: 76M20 76T10 76M25 PDF BibTeX XML Cite \textit{M. Sussman}, J. Comput. Phys. 187, No. 1, 110--136 (2003; Zbl 1047.76085) Full Text: DOI OpenURL
Pan, H.; Damodaran, M. Parallel computation of viscous incompressible flows using Godunov-projection method on overlapping grids. (English) Zbl 1101.76368 Int. J. Numer. Methods Fluids 39, No. 5, 441-463 (2002). MSC: 76M20 76D05 65Y05 PDF BibTeX XML Cite \textit{H. Pan} and \textit{M. Damodaran}, Int. J. Numer. Methods Fluids 39, No. 5, 441--463 (2002; Zbl 1101.76368) Full Text: DOI OpenURL
Christon, Mark A. Dealing with pressure: FEM solution strategies for the pressure in the time-dependent Navier-Stokes equations. (English) Zbl 1031.76026 Int. J. Numer. Methods Fluids 38, No. 12, 1177-1198 (2002). MSC: 76M10 76D05 PDF BibTeX XML Cite \textit{M. A. Christon}, Int. J. Numer. Methods Fluids 38, No. 12, 1177--1198 (2002; Zbl 1031.76026) Full Text: DOI OpenURL
Karni, Smadar; Kurganov, Alexander; Petrova, Guergana A smoothness indicator for adaptive algorithms for hyperbolic systems. (English) Zbl 0998.65092 J. Comput. Phys. 178, No. 2, 323-341 (2002). MSC: 65M06 35L65 65M50 76L05 76M20 PDF BibTeX XML Cite \textit{S. Karni} et al., J. Comput. Phys. 178, No. 2, 323--341 (2002; Zbl 0998.65092) Full Text: DOI Link OpenURL
Brown, David L.; Cortez, Ricardo; Minion, Michael L. Accurate projection methods for the incompressible Navier-Stokes equations. (English) Zbl 1153.76339 J. Comput. Phys. 168, No. 2, 464-499 (2001). MSC: 76D05 76M25 PDF BibTeX XML Cite \textit{D. L. Brown} et al., J. Comput. Phys. 168, No. 2, 464--499 (2001; Zbl 1153.76339) Full Text: DOI OpenURL
Day, M. S.; Bell, J. B. Numerical simulation of laminar reacting flows with complex chemistry. (English) Zbl 0970.76065 Combust. Theory Model. 4, No. 4, 535-556 (2000). MSC: 76M20 76V05 80A32 PDF BibTeX XML Cite \textit{M. S. Day} and \textit{J. B. Bell}, Combust. Theory Model. 4, No. 4, 535--556 (2000; Zbl 0970.76065) Full Text: DOI Link OpenURL
Martin, Daniel F.; Colella, Phillip A cell-centered adaptive projection method for the incompressible Euler equations. (English) Zbl 0991.76052 J. Comput. Phys. 163, No. 2, 271-312 (2000). MSC: 76M20 76B47 76B10 PDF BibTeX XML Cite \textit{D. F. Martin} and \textit{P. Colella}, J. Comput. Phys. 163, No. 2, 271--312 (2000; Zbl 0991.76052) Full Text: DOI Link OpenURL
Sussman, Mark; Almgren, Ann S.; Bell, John B.; Colella, Phillip; Howell, Louis H.; Welcome, Michael L. An adaptive level set approach for incompressible two-phase flows. (English) Zbl 0930.76068 J. Comput. Phys. 148, No. 1, 81-124 (1999). MSC: 76M25 76T10 76D45 76D05 PDF BibTeX XML Cite \textit{M. Sussman} et al., J. Comput. Phys. 148, No. 1, 81--124 (1999; Zbl 0930.76068) Full Text: DOI Link OpenURL
Almgren, Ann S.; Bell, John B.; Colella, Phillip; Howell, Louis H.; Welcome, Michael L. A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations. (English) Zbl 0933.76055 J. Comput. Phys. 142, No. 1, 1-46 (1998). MSC: 76M20 76D05 PDF BibTeX XML Cite \textit{A. S. Almgren} et al., J. Comput. Phys. 142, No. 1, 1--46 (1998; Zbl 0933.76055) Full Text: DOI OpenURL
Johansen, Hans; Colella, Phillip A Cartesian grid embedded boundary method for Poisson’s equation on irregular domains. (English) Zbl 0923.65079 J. Comput. Phys. 147, No. 1, 60-85 (1998). Reviewer: Gerald W.Hedstrom (Pleasanton) MSC: 65N30 35J05 PDF BibTeX XML Cite \textit{H. Johansen} and \textit{P. Colella}, J. Comput. Phys. 147, No. 1, 60--85 (1998; Zbl 0923.65079) Full Text: DOI Link OpenURL
Phillips, Timothy N.; Owens, Robert G. A mass conserving multi-domain spectral collocation method for the Stokes problem. (English) Zbl 0904.76063 Comput. Fluids 26, No. 8, 825-840 (1997). MSC: 76M25 76D07 PDF BibTeX XML Cite \textit{T. N. Phillips} and \textit{R. G. Owens}, Comput. Fluids 26, No. 8, 825--840 (1997; Zbl 0904.76063) Full Text: DOI OpenURL
Minion, Michael L.; Brown, David L. Performance of under-resolved two-dimensional incompressible flow simulations. II. (English) Zbl 0914.76063 J. Comput. Phys. 138, No. 2, 734-765 (1997). MSC: 76M20 76D05 PDF BibTeX XML Cite \textit{M. L. Minion} and \textit{D. L. Brown}, J. Comput. Phys. 138, No. 2, 734--765 (1997; Zbl 0914.76063) Full Text: DOI OpenURL