Collins, J. Haydel; Lozinski, Alexei; Scovazzi, Guglielmo A penalty-free shifted boundary method of arbitrary order. (English) Zbl 07788083 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116301, 21 p. (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{J. H. Collins} et al., Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116301, 21 p. (2023; Zbl 07788083) Full Text: DOI arXiv
Capizzano, Francesco; Cinquegrana, Davide Applying a Cartesian method to moving boundaries. (English) Zbl 1521.76526 Comput. Fluids 263, Article ID 105968, 14 p. (2023). MSC: 76M20 65M06 PDFBibTeX XMLCite \textit{F. Capizzano} and \textit{D. Cinquegrana}, Comput. Fluids 263, Article ID 105968, 14 p. (2023; Zbl 1521.76526) Full Text: DOI
Majumder, Sambit; Ghosh, Arnab; Basu, Dipankar Narayan; Natarajan, Ganesh Re-examining the partially saturated-cells method for incompressible flows with stationary and moving bodies. (English) Zbl 1524.76291 Comput. Math. Appl. 110, 19-39 (2022). MSC: 76M28 76D05 76P05 76T20 PDFBibTeX XMLCite \textit{S. Majumder} et al., Comput. Math. Appl. 110, 19--39 (2022; Zbl 1524.76291) Full Text: DOI
Reiss, Julius Pressure-tight and non-stiff volume penalization for compressible flows. An immersed boundary method with good conservation properties. (English) Zbl 1492.76087 J. Sci. Comput. 90, No. 3, Paper No. 86, 29 p. (2022). MSC: 76M20 76N06 76S05 PDFBibTeX XMLCite \textit{J. Reiss}, J. Sci. Comput. 90, No. 3, Paper No. 86, 29 p. (2022; Zbl 1492.76087) Full Text: DOI arXiv
Degrigny, Johan; Cai, Shang-Gui; Boussuge, Jean-François; Sagaut, Pierre Improved wall model treatment for aerodynamic flows in LBM. (English) Zbl 1521.76646 Comput. Fluids 227, Article ID 105041, 16 p. (2021). MSC: 76M28 76G25 PDFBibTeX XMLCite \textit{J. Degrigny} et al., Comput. Fluids 227, Article ID 105041, 16 p. (2021; Zbl 1521.76646) Full Text: DOI
Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo The second-generation shifted boundary method and its numerical analysis. (English) Zbl 1506.76063 Comput. Methods Appl. Mech. Eng. 372, Article ID 113341, 27 p. (2020). MSC: 76M10 65N30 PDFBibTeX XMLCite \textit{N. M. Atallah} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113341, 27 p. (2020; Zbl 1506.76063) Full Text: DOI arXiv
Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo Analysis of the shifted boundary method for the Stokes problem. (English) Zbl 1441.76037 Comput. Methods Appl. Mech. Eng. 358, Article ID 112609, 33 p. (2020). MSC: 76D07 65N30 76M10 PDFBibTeX XMLCite \textit{N. M. Atallah} et al., Comput. Methods Appl. Mech. Eng. 358, Article ID 112609, 33 p. (2020; Zbl 1441.76037) Full Text: DOI
Dong, H.; Yang, L. M. An immersed boundary-simplified gas kinetic scheme for 2D incompressible flows with curved and moving boundaries. (English) Zbl 1488.76093 Adv. Appl. Math. Mech. 11, No. 5, 1177-1199 (2019). MSC: 76M12 76N20 PDFBibTeX XMLCite \textit{H. Dong} and \textit{L. M. Yang}, Adv. Appl. Math. Mech. 11, No. 5, 1177--1199 (2019; Zbl 1488.76093) Full Text: DOI
González, Felipe A.; Bustamante, Jorge A.; Cruchaga, Marcela A.; Celentano, Diego J. Numerical study of flow past oscillatory square cylinders at low Reynolds number. (English) Zbl 1408.76366 Eur. J. Mech., B, Fluids 75, 286-299 (2019). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{F. A. González} et al., Eur. J. Mech., B, Fluids 75, 286--299 (2019; Zbl 1408.76366) Full Text: DOI
Main, A.; Scovazzi, G. The shifted boundary method for embedded domain computations. I: Poisson and Stokes problems. (English) Zbl 1415.76457 J. Comput. Phys. 372, 972-995 (2018). MSC: 76M10 65N30 76D07 35J05 PDFBibTeX XMLCite \textit{A. Main} and \textit{G. Scovazzi}, J. Comput. Phys. 372, 972--995 (2018; Zbl 1415.76457) 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
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
Sakib, N.; Mohammadi, A.; Floryan, J. M. Spectrally-accurate immersed boundary conditions method for three-dimensional flows. (English) Zbl 1457.65150 Comput. Math. Appl. 73, No. 11, 2426-2453 (2017). MSC: 65M70 76D05 35Q30 PDFBibTeX XMLCite \textit{N. Sakib} et al., Comput. Math. Appl. 73, No. 11, 2426--2453 (2017; Zbl 1457.65150) Full Text: DOI
Kumar, Manish; Roy, Somnath A sharp interface immersed boundary method for moving geometries with mass conservation and smooth pressure variation. (English) Zbl 1390.76585 Comput. Fluids 137, 15-35 (2016). MSC: 76M20 65M06 76D05 PDFBibTeX XMLCite \textit{M. Kumar} and \textit{S. Roy}, Comput. Fluids 137, 15--35 (2016; Zbl 1390.76585) Full Text: DOI
Angelidis, Dionysios; Chawdhary, Saurabh; Sotiropoulos, Fotis Unstructured Cartesian refinement with sharp interface immersed boundary method for 3D unsteady incompressible flows. (English) Zbl 1375.76033 J. Comput. Phys. 325, 272-300 (2016). MSC: 76D05 76F65 65M50 65M06 76M20 PDFBibTeX XMLCite \textit{D. Angelidis} et al., J. Comput. Phys. 325, 272--300 (2016; Zbl 1375.76033) Full Text: DOI
Dechristé, G.; Mieussens, L. A Cartesian cut cell method for rarefied flow simulations around moving obstacles. (English) Zbl 1349.76783 J. Comput. Phys. 314, 465-488 (2016). MSC: 76P05 PDFBibTeX XMLCite \textit{G. Dechristé} and \textit{L. Mieussens}, J. Comput. Phys. 314, 465--488 (2016; Zbl 1349.76783) Full Text: DOI arXiv
Beale, J. Thomas Uniform error estimates for Navier-Stokes flow with an exact moving boundary using the immersed interface method. (English) Zbl 1326.76078 SIAM J. Numer. Anal. 53, No. 4, 2097-2111 (2015). MSC: 76M20 65N06 65N12 74F10 76D05 76D27 35R05 PDFBibTeX XMLCite \textit{J. T. Beale}, SIAM J. Numer. Anal. 53, No. 4, 2097--2111 (2015; Zbl 1326.76078) Full Text: DOI arXiv
Nam, J. W.; Lien, F. S. A ghost-cell immersed boundary method for large-eddy simulations of compressible turbulent flows. (English) Zbl 07512584 Int. J. Comput. Fluid Dyn. 28, No. 1-2, 41-55 (2014). MSC: 76-XX 80-XX PDFBibTeX XMLCite \textit{J. W. Nam} and \textit{F. S. Lien}, Int. J. Comput. Fluid Dyn. 28, No. 1--2, 41--55 (2014; Zbl 07512584) Full Text: DOI
Introïni, C.; Belliard, M.; Fournier, C. A second order penalized direct forcing for hybrid Cartesian/immersed boundary flow simulations. (English) Zbl 1391.76419 Comput. Fluids 90, 21-41 (2014). MSC: 76M12 65M08 65L06 74F10 76D05 PDFBibTeX XMLCite \textit{C. Introïni} et al., Comput. Fluids 90, 21--41 (2014; Zbl 1391.76419) Full Text: DOI
Luo, Haoxiang; Dai, Hu; Ferreira de Sousa, Paulo J. S. A.; Yin, Bo On the numerical oscillation of the direct-forcing immersed-boundary method for moving boundaries. (English) Zbl 1365.76180 Comput. Fluids 56, 61-76 (2012). MSC: 76M15 76Z10 76D05 76M20 PDFBibTeX XMLCite \textit{H. Luo} et al., Comput. Fluids 56, 61--76 (2012; Zbl 1365.76180) Full Text: DOI
Wang, Jin; Layton, Anita Numerical simulations of fiber sedimentation in Navier-Stokes flows. (English) Zbl 1364.76232 Commun. Comput. Phys. 5, No. 1, 61-83 (2009). MSC: 76T25 76M20 65M06 76D07 PDFBibTeX XMLCite \textit{J. Wang} and \textit{A. Layton}, Commun. Comput. Phys. 5, No. 1, 61--83 (2009; Zbl 1364.76232)
Codina, Ramon; Baiges, Joan Approximate imposition of boundary conditions in immersed boundary methods. (English) Zbl 1183.76802 Int. J. Numer. Methods Eng. 80, No. 11, 1379-1405 (2009). MSC: 76M10 76M30 76R99 PDFBibTeX XMLCite \textit{R. Codina} and \textit{J. Baiges}, Int. J. Numer. Methods Eng. 80, No. 11, 1379--1405 (2009; Zbl 1183.76802) Full Text: DOI Link
Poncet, Philippe Analysis of an immersed boundary method for three-dimensional flows in vorticity formulation. (English) Zbl 1400.76059 J. Comput. Phys. 228, No. 19, 7268-7288 (2009). MSC: 76M25 65M75 76B47 PDFBibTeX XMLCite \textit{P. Poncet}, J. Comput. Phys. 228, No. 19, 7268--7288 (2009; Zbl 1400.76059) Full Text: DOI HAL
Tan, Zhijun; Lim, K. M.; Khoo, B. C. An immersed interface method for Stokes flows with fixed/moving interfaces and rigid boundaries. (English) Zbl 1261.76038 J. Comput. Phys. 228, No. 18, 6855-6881 (2009). MSC: 76M25 76D07 PDFBibTeX XMLCite \textit{Z. Tan} et al., J. Comput. Phys. 228, No. 18, 6855--6881 (2009; Zbl 1261.76038) Full Text: DOI
Gilmanov, Anvar; Acharya, Sumanta A computational strategy for simulating heat transfer and flow past deformable objects. (English) Zbl 1151.80002 Int. J. Heat Mass Transfer 51, No. 17-18, 4415-4426 (2008). MSC: 80A20 76D05 76M20 PDFBibTeX XMLCite \textit{A. Gilmanov} and \textit{S. Acharya}, Int. J. Heat Mass Transfer 51, No. 17--18, 4415--4426 (2008; Zbl 1151.80002) Full Text: DOI
Domenichini, Federico On the consistency of the direct forcing method in the fractional step solution of the Navier-Stokes equations. (English) Zbl 1388.76244 J. Comput. Phys. 227, No. 12, 6372-6384 (2008). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{F. Domenichini}, J. Comput. Phys. 227, No. 12, 6372--6384 (2008; Zbl 1388.76244) Full Text: DOI
Borazjani, Iman; Ge, Liang; Sotiropoulos, Fotis Curvilinear immersed boundary method for simulating fluid structure interaction with complex 3D rigid bodies. (English) Zbl 1213.76129 J. Comput. Phys. 227, No. 16, 7587-7620 (2008). MSC: 76M25 74F10 74S05 76Z05 92C35 PDFBibTeX XMLCite \textit{I. Borazjani} et al., J. Comput. Phys. 227, No. 16, 7587--7620 (2008; Zbl 1213.76129) Full Text: DOI Link
Gilmanov, Anvar; Acharya, Sumanta A hybrid immersed boundary and material point method for simulating 3D fluid-structure interaction problems. (English) Zbl 1388.76249 Int. J. Numer. Methods Fluids 56, No. 12, 2151-2177 (2008). MSC: 76M25 76M15 74F10 PDFBibTeX XMLCite \textit{A. Gilmanov} and \textit{S. Acharya}, Int. J. Numer. Methods Fluids 56, No. 12, 2151--2177 (2008; Zbl 1388.76249) Full Text: DOI
Ge, Liang; Sotiropoulos, Fotis A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries. (English) Zbl 1213.76134 J. Comput. Phys. 225, No. 2, 1782-1809 (2007). MSC: 76M25 76D05 76Z05 PDFBibTeX XMLCite \textit{L. Ge} and \textit{F. Sotiropoulos}, J. Comput. Phys. 225, No. 2, 1782--1809 (2007; Zbl 1213.76134) Full Text: DOI
Niu, X. D.; Shu, C.; Chew, Y. T.; Peng, Y. A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating incompressible viscous flows. (English) Zbl 1181.76111 Phys. Lett., A 354, No. 3, 173-182 (2006). MSC: 76M28 PDFBibTeX XMLCite \textit{X. D. Niu} et al., Phys. Lett., A 354, No. 3, 173--182 (2006; Zbl 1181.76111) Full Text: DOI
Xu, Sheng; Wang, Z. Jane An immersed interface method for simulating the interaction of a fluid with moving boundaries. (English) Zbl 1220.76058 J. Comput. Phys. 216, No. 2, 454-493 (2006). MSC: 76M25 65M60 74F10 76M20 PDFBibTeX XMLCite \textit{S. Xu} and \textit{Z. J. Wang}, J. Comput. Phys. 216, No. 2, 454--493 (2006; Zbl 1220.76058) Full Text: DOI
Yang, Jianming; Balaras, Elias An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries. (English) Zbl 1140.76355 J. Comput. Phys. 215, No. 1, 12-40 (2006). MSC: 76F65 65M06 PDFBibTeX XMLCite \textit{J. Yang} and \textit{E. Balaras}, J. Comput. Phys. 215, No. 1, 12--40 (2006; Zbl 1140.76355) Full Text: DOI Link
Gilmanov, Anvar; Sotiropoulos, Fotis A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies. (English) Zbl 1213.76135 J. Comput. Phys. 207, No. 2, 457-492 (2005). MSC: 76M25 76D05 76Z05 PDFBibTeX XMLCite \textit{A. Gilmanov} and \textit{F. Sotiropoulos}, J. Comput. Phys. 207, No. 2, 457--492 (2005; Zbl 1213.76135) Full Text: DOI
Balaras, Elias Modeling complex boundaries using an external force field on fixed Cartesian grids in large-eddy simulations. (English) Zbl 1088.76018 Comput. Fluids 33, No. 3, 375-404 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 76F65 76M20 PDFBibTeX XMLCite \textit{E. Balaras}, Comput. Fluids 33, No. 3, 375--404 (2004; Zbl 1088.76018) Full Text: DOI
Biros, George; Ying, Lexing; Zorin, Denis A fast solver for the Stokes equations with distributed forces in complex geometries. (English) Zbl 1047.76065 J. Comput. Phys. 193, No. 1, 317-348 (2004). MSC: 76M15 76D07 PDFBibTeX XMLCite \textit{G. Biros} et al., J. Comput. Phys. 193, No. 1, 317--348 (2004; Zbl 1047.76065) Full Text: DOI
Gilmanov, A.; Sotiropoulos, F.; Balaras, E. A general reconstruction algorithm for simulating flows with complex 3D immersed boundaries on Cartesian grids. (English) Zbl 1134.76406 J. Comput. Phys. 191, No. 2, 660-669 (2003). MSC: 76M20 76D05 PDFBibTeX XMLCite \textit{A. Gilmanov} et al., J. Comput. Phys. 191, No. 2, 660--669 (2003; Zbl 1134.76406) Full Text: DOI
Vikhansky, A. A new modification of the immersed boundaries method for fluid-solid flows: Moderate Reynolds numbers. (English) Zbl 1027.76036 J. Comput. Phys. 191, No. 1, 328-339 (2003). MSC: 76M20 76D05 PDFBibTeX XMLCite \textit{A. Vikhansky}, J. Comput. Phys. 191, No. 1, 328--339 (2003; Zbl 1027.76036) Full Text: DOI
Szumbarski, J. Immersed boundary approach to stability equations for a spatially periodic viscous flow. (English) Zbl 1006.76031 Arch. Mech. 54, No. 3, 199-222 (2002). MSC: 76E09 76M22 PDFBibTeX XMLCite \textit{J. Szumbarski}, Arch. Mech. 54, No. 3, 199--222 (2002; Zbl 1006.76031)
Cortez, Ricardo The method of regularized stokeslets. (English) Zbl 1064.76080 SIAM J. Sci. Comput. 23, No. 4, 1204-1225 (2001). Reviewer: V. P. Tyagi (Mumbai) MSC: 76M25 76D07 PDFBibTeX XMLCite \textit{R. Cortez}, SIAM J. Sci. Comput. 23, No. 4, 1204--1225 (2001; Zbl 1064.76080) Full Text: DOI
Ye, T.; Mittal, R.; Udaykumar, H. S.; Shyy, W. An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries. (English) Zbl 0957.76043 J. Comput. Phys. 156, No. 2, 209-240 (1999). MSC: 76M12 76D05 PDFBibTeX XMLCite \textit{T. Ye} et al., J. Comput. Phys. 156, No. 2, 209--240 (1999; Zbl 0957.76043) Full Text: DOI Link
Beyer, Richard P. jun. A computational model of the cochlea using the immersed boundary method. (English) Zbl 0744.76128 J. Comput. Phys. 98, No. 1, 145-162 (1992). MSC: 76Z99 76D05 76M20 92C10 PDFBibTeX XMLCite \textit{R. P. Beyer jun.}, J. Comput. Phys. 98, No. 1, 145--162 (1992; Zbl 0744.76128) Full Text: DOI
Mandal, B. N. Ring source potential in a liquid with an inertial surface. (English) Zbl 0632.76019 Mech., Res. Commun. 13, 335-339 (1986). MSC: 76B15 PDFBibTeX XMLCite \textit{B. N. Mandal}, Mech. Res. Commun. 13, 335--339 (1986; Zbl 0632.76019) Full Text: DOI
Rhodes-Robinson, P. F. On surface waves in the presence of immersed vertical boundaries. II. (English) Zbl 0426.76027 Q. J. Mech. Appl. Math. 32, 125-133 (1979). MSC: 76B15 PDFBibTeX XMLCite \textit{P. F. Rhodes-Robinson}, Q. J. Mech. Appl. Math. 32, 125--133 (1979; Zbl 0426.76027) Full Text: DOI
Rhodes-Robinson, P. F. On surface waves in the presence of immersed vertical boundaries. I. (English) Zbl 0426.76026 Q. J. Mech. Appl. Math. 32, 109-124 (1979). MSC: 76B15 PDFBibTeX XMLCite \textit{P. F. Rhodes-Robinson}, Q. J. Mech. Appl. Math. 32, 109--124 (1979; Zbl 0426.76026) Full Text: DOI
Peskin, Charles S. Numerical analysis of blood flow in the heart. (English) Zbl 0403.76100 J. Comput. Phys. 25, 220-252 (1977). MSC: 76Z05 76D05 PDFBibTeX XMLCite \textit{C. S. Peskin}, J. Comput. Phys. 25, 220--252 (1977; Zbl 0403.76100) Full Text: DOI