Wang, Luo-Hao; Huang, Wei-Xi An efficient matrix factorization within the projection framework for ameliorating the surface tension time step constraint in interfacial flows. (English) Zbl 07797657 J. Comput. Phys. 498, Article ID 112678, 15 p. (2024). MSC: 76Mxx 76Dxx 65Mxx PDFBibTeX XMLCite \textit{L.-H. Wang} and \textit{W.-X. Huang}, J. Comput. Phys. 498, Article ID 112678, 15 p. (2024; Zbl 07797657) Full Text: DOI
Ménez, L.; Parnaudeau, P.; Beringhier, M.; Goncalves Da Silva, E. Assessment of volume penalization and immersed boundary methods for compressible flows with various thermal boundary conditions. (English) Zbl 07748051 J. Comput. Phys. 493, Article ID 112465, 23 p. (2023). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{L. Ménez} et al., J. Comput. Phys. 493, Article ID 112465, 23 p. (2023; Zbl 07748051) Full Text: DOI
Funada, Masaya; Imamura, Taro High-order immersed boundary method for inviscid flows applied to flux reconstruction method on a hierarchical Cartesian grid. (English) Zbl 1521.76804 Comput. Fluids 265, Article ID 105986, 12 p. (2023). MSC: 76Q05 65M25 PDFBibTeX XMLCite \textit{M. Funada} and \textit{T. Imamura}, Comput. Fluids 265, Article ID 105986, 12 p. (2023; Zbl 1521.76804) Full Text: DOI
Llorente, Victor J.; Kou, Jiaqing; Valero, Eusebio; Ferrer, Esteban A modified equation analysis for immersed boundary methods based on volume penalization: applications to linear advection-diffusion equations and high-order discontinuous Galerkin schemes. (English) Zbl 1521.76348 Comput. Fluids 257, Article ID 105869, 16 p. (2023). MSC: 76M10 65M60 PDFBibTeX XMLCite \textit{V. J. Llorente} et al., Comput. Fluids 257, Article ID 105869, 16 p. (2023; Zbl 1521.76348) Full Text: DOI arXiv
Husson, Julien; Terracol, M.; Deck, S.; Le Garrec, T. Critical assessment of wall model numerical implementation in LBM. (English) Zbl 1521.76666 Comput. Fluids 257, Article ID 105857, 21 p. (2023). MSC: 76M28 PDFBibTeX XMLCite \textit{J. Husson} et al., Comput. Fluids 257, Article ID 105857, 21 p. (2023; Zbl 1521.76666) Full Text: DOI
He, Tianyu; Mitsume, Naoto; Yasui, Fumitaka; Morita, Naoki; Fukui, Tsutomu; Shibanuma, Kazuki Strategy for accurately and efficiently modelling an internal traction-free boundary based on the s-version finite element method: problem clarification and solutions verification. (English) Zbl 07644884 Comput. Methods Appl. Mech. Eng. 404, Article ID 115843, 28 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{T. He} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115843, 28 p. (2023; Zbl 07644884) Full Text: DOI
Wang, Weiyi; Tan, Zhijun A simple augmented IIM for 3D incompressible two-phase Stokes flows with interfaces and singular forces. (English) Zbl 1516.76058 Comput. Phys. Commun. 270, Article ID 108154, 19 p. (2022). MSC: 76M20 76D07 76T06 PDFBibTeX XMLCite \textit{W. Wang} and \textit{Z. Tan}, Comput. Phys. Commun. 270, Article ID 108154, 19 p. (2022; Zbl 1516.76058) Full Text: DOI
Basarić, Danica; Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Yuan, Yuhuan Penalization method for the Navier-Stokes-Fourier system. (English) Zbl 1501.35307 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 1911-1938 (2022). MSC: 35Q35 35A01 76N06 76M12 PDFBibTeX XMLCite \textit{D. Basarić} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 6, 1911--1938 (2022; Zbl 1501.35307) Full Text: DOI arXiv
Lai, Ming-Chih; Chang, Che-Chia; Lin, Wei-Syuan; Hu, Wei-Fan; Lin, Te-Sheng A shallow Ritz method for elliptic problems with singular sources. (English) Zbl 07592144 J. Comput. Phys. 469, Article ID 111547, 14 p. (2022). MSC: 65Nxx 35Jxx 76Mxx PDFBibTeX XMLCite \textit{M.-C. Lai} et al., J. Comput. Phys. 469, Article ID 111547, 14 p. (2022; Zbl 07592144) Full Text: DOI arXiv
Kassen, Andrew; Barrett, Aaron; Shankar, Varun; Fogelson, Aaron L. Immersed boundary simulations of cell-cell interactions in whole blood. (English) Zbl 07592125 J. Comput. Phys. 469, Article ID 111499, 24 p. (2022). MSC: 76Mxx 76Dxx 76Zxx PDFBibTeX XMLCite \textit{A. Kassen} et al., J. Comput. Phys. 469, Article ID 111499, 24 p. (2022; Zbl 07592125) Full Text: DOI arXiv
Laymuns, Genaro; Sánchez, Manuel A. Corrected finite element methods on unfitted meshes for Stokes moving interface problem. (English) Zbl 1524.65832 Comput. Math. Appl. 108, 159-174 (2022). MSC: 65N30 35J25 65N15 74F10 65N50 76D07 65M60 65M06 92C35 35Q92 74B10 76M10 74S05 35Q35 35Q74 PDFBibTeX XMLCite \textit{G. Laymuns} and \textit{M. A. Sánchez}, Comput. Math. Appl. 108, 159--174 (2022; Zbl 1524.65832) Full Text: DOI
Zhou, Kun; Balachandar, S. An analysis of the spatio-temporal resolution of the immersed boundary method with direct forcing. (English) Zbl 07508467 J. Comput. Phys. 424, Article ID 109862, 29 p. (2021). MSC: 76-XX 74-XX PDFBibTeX XMLCite \textit{K. Zhou} and \textit{S. Balachandar}, J. Comput. Phys. 424, Article ID 109862, 29 p. (2021; Zbl 07508467) Full Text: DOI
Boustani, Jonathan; Barad, Michael F.; Kiris, Cetin C.; Brehm, Christoph An immersed boundary fluid-structure interaction method for thin, highly compliant shell structures. (English) Zbl 07505964 J. Comput. Phys. 438, Article ID 110369, 35 p. (2021). MSC: 76Mxx 65Mxx 74Sxx PDFBibTeX XMLCite \textit{J. Boustani} et al., J. Comput. Phys. 438, Article ID 110369, 35 p. (2021; Zbl 07505964) Full Text: DOI
Constant, Benjamin; Péron, Stéphanie; Beaugendre, Héloïse; Benoit, Christophe An improved immersed boundary method for turbulent flow simulations on Cartesian grids. (English) Zbl 07503726 J. Comput. Phys. 435, Article ID 110240, 21 p. (2021). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{B. Constant} et al., J. Comput. Phys. 435, Article ID 110240, 21 p. (2021; Zbl 07503726) Full Text: DOI HAL
Vahab, Mehdi; Sussman, Mark; Shoele, Kourosh Fluid-structure interaction of thin flexible bodies in multi-material multi-phase systems. (English) Zbl 07500743 J. Comput. Phys. 429, Article ID 110008, 29 p. (2021). MSC: 76Mxx 76Txx 65Mxx PDFBibTeX XMLCite \textit{M. Vahab} et al., J. Comput. Phys. 429, Article ID 110008, 29 p. (2021; Zbl 07500743) Full Text: DOI
Wang, Weiyi; Tan, Zhijun A simple 3D immersed interface method for Stokes flow with singular forces on staggered grids. (English) Zbl 1473.65123 Commun. Comput. Phys. 30, No. 1, 227-254 (2021). MSC: 65M06 76D07 PDFBibTeX XMLCite \textit{W. Wang} and \textit{Z. Tan}, Commun. Comput. Phys. 30, No. 1, 227--254 (2021; Zbl 1473.65123) Full Text: DOI
Harikrishnan, B.; Chen, Zhen; Shu, Chang A new explicit immersed boundary method for simulation of fluid-solid interactions. (English) Zbl 1488.35422 Adv. Appl. Math. Mech. 13, No. 2, 261-284 (2021). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{B. Harikrishnan} et al., Adv. Appl. Math. Mech. 13, No. 2, 261--284 (2021; Zbl 1488.35422) Full Text: DOI
Péron, S.; Renaud, T.; Benoit, C.; Mary, I. An immersed boundary method on Cartesian adaptive grids for the simulation of compressible flows. (English) Zbl 1464.76072 Deiterding, Ralf (ed.) et al., Cartesian CFD methods for complex applications. Selected papers based on the presentations of the mini-symposium at ICIAM 2019, Valencia, Spain, July 14–19, 2019. Cham: Springer. SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 3, 67-91 (2021). MSC: 76M12 76N06 76J20 76F65 76F50 PDFBibTeX XMLCite \textit{S. Péron} et al., SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 3, 67--91 (2021; Zbl 1464.76072) Full Text: DOI
Dorschner, Benedikt; Colonius, Tim Immersed boundary projection methods. (English) Zbl 1512.76062 Roy, Somnath (ed.) et al., Immersed boundary method. Development and applications. Singapore: Springer. Comput. Methods Eng. Sci., 3-43 (2020). MSC: 76M12 76M99 76D05 76-02 PDFBibTeX XMLCite \textit{B. Dorschner} and \textit{T. Colonius}, in: Immersed boundary method. Development and applications. Singapore: Springer. 3--43 (2020; Zbl 1512.76062) Full Text: DOI
Amiri, Farhad A.; Le, Guigao; Chen, Qing; Zhang, Junfeng Accuracy improvement for immersed boundary method using Lagrangian velocity interpolation. (English) Zbl 07508415 J. Comput. Phys. 423, Article ID 109800, 23 p. (2020). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{F. A. Amiri} et al., J. Comput. Phys. 423, Article ID 109800, 23 p. (2020; Zbl 07508415) Full Text: DOI
Becerra-Sagredo, Julián T.; Jeltsch, Rolf; Málaga, Carlos The collocation basis of compact finite differences for moment-preserving interpolations: review, extension and applications. (English) Zbl 1482.65018 Commun. Comput. Phys. 28, No. 4, 1245-1273 (2020). MSC: 65D05 65D07 41A05 76M23 PDFBibTeX XMLCite \textit{J. T. Becerra-Sagredo} et al., Commun. Comput. Phys. 28, No. 4, 1245--1273 (2020; Zbl 1482.65018) Full Text: DOI
Wang, Luohao; Xie, Chunmei; Huang, Weixi A monolithic projection framework for constrained FSI problems with the immersed boundary method. (English) Zbl 1506.74113 Comput. Methods Appl. Mech. Eng. 371, Article ID 113332, 36 p. (2020). MSC: 74F10 74S15 65M38 76D05 PDFBibTeX XMLCite \textit{L. Wang} et al., Comput. Methods Appl. Mech. Eng. 371, Article ID 113332, 36 p. (2020; Zbl 1506.74113) Full Text: DOI
Kwon, Chunsong; Tartakovsky, Daniel M. Modified immersed boundary method for flows over randomly rough surfaces. (English) Zbl 1453.76035 J. Comput. Phys. 406, Article ID 109195, 16 p. (2020). MSC: 76D05 76M20 35R60 65M06 76D07 PDFBibTeX XMLCite \textit{C. Kwon} and \textit{D. M. Tartakovsky}, J. Comput. Phys. 406, Article ID 109195, 16 p. (2020; Zbl 1453.76035) Full Text: DOI
Rycroft, Chris H.; Wu, Chen-Hung; Yu, Yue; Kamrin, Ken Reference map technique for incompressible fluid-structure interaction. (English) Zbl 1460.76177 J. Fluid Mech. 898, Paper No. A9, 44 p. (2020). MSC: 76D05 74F10 PDFBibTeX XMLCite \textit{C. H. Rycroft} et al., J. Fluid Mech. 898, Paper No. A9, 44 p. (2020; Zbl 1460.76177) Full Text: DOI arXiv
Qin, Zhipeng; Riaz, Amir; Balaras, Elias A locally second order symmetric method for discontinuous solution of Poisson’s equation on uniform Cartesian grids. (English) Zbl 1519.76345 Comput. Fluids 198, Article ID 104397, 14 p. (2020). MSC: 76T99 65N06 PDFBibTeX XMLCite \textit{Z. Qin} et al., Comput. Fluids 198, Article ID 104397, 14 p. (2020; Zbl 1519.76345) Full Text: DOI
Bharadwaj S., Anand; Ghosh, Santanu Data reconstruction at surface in immersed-boundary methods. (English) Zbl 1519.76201 Comput. Fluids 196, Article ID 104236, 17 p. (2020). MSC: 76M20 76M15 PDFBibTeX XMLCite \textit{A. Bharadwaj S.} and \textit{S. Ghosh}, Comput. Fluids 196, Article ID 104236, 17 p. (2020; Zbl 1519.76201) Full Text: DOI
Liu, Xiaoling; Song, Fangying; Xu, Chuanju An efficient spectral method for the inextensible immersed interface in incompressible flows. (English) Zbl 1473.65238 Commun. Comput. Phys. 25, No. 4, 1071-1096 (2019). MSC: 65M70 74F10 76N10 PDFBibTeX XMLCite \textit{X. Liu} et al., Commun. Comput. Phys. 25, No. 4, 1071--1096 (2019; Zbl 1473.65238) Full Text: DOI
Jain, Suhas S.; Kamrin, Ken; Mani, Ali A conservative and non-dissipative Eulerian formulation for the simulation of soft solids in fluids. (English) Zbl 1453.74029 J. Comput. Phys. 399, Article ID 108922, 26 p. (2019). MSC: 74F10 76D05 76M12 74S10 PDFBibTeX XMLCite \textit{S. S. Jain} et al., J. Comput. Phys. 399, Article ID 108922, 26 p. (2019; Zbl 1453.74029) Full Text: DOI arXiv
Ma, Yunfei; Cui, Jiahuan; Vadlamani, Nagabhushana Rao; Tucker, Paul Hierarchical geometry modelling using the immersed boundary method. (English) Zbl 1441.76066 Comput. Methods Appl. Mech. Eng. 355, 323-348 (2019). MSC: 76M10 65M60 PDFBibTeX XMLCite \textit{Y. Ma} et al., Comput. Methods Appl. Mech. Eng. 355, 323--348 (2019; Zbl 1441.76066) Full Text: DOI
Adjerid, Slimane; Chaabane, Nabil; Lin, Tao; Yue, Pengtao An immersed discontinuous finite element method for the Stokes problem with a moving interface. (English) Zbl 1458.76061 J. Comput. Appl. Math. 362, 540-559 (2019). MSC: 76M10 76D07 76D45 PDFBibTeX XMLCite \textit{S. Adjerid} et al., J. Comput. Appl. Math. 362, 540--559 (2019; Zbl 1458.76061) Full Text: DOI
Abdol Azis, Mohd Hazmil; Evrard, Fabien; van Wachem, Berend An immersed boundary method for incompressible flows in complex domains. (English) Zbl 1454.76058 J. Comput. Phys. 378, 770-795 (2019). MSC: 76M12 74F10 PDFBibTeX XMLCite \textit{M. H. Abdol Azis} et al., J. Comput. Phys. 378, 770--795 (2019; Zbl 1454.76058) Full Text: DOI
So, R. M. C.; Leung, R. C. K.; Kam, E. W. S.; Fu, S. C. Progress in the development of a new lattice Boltzmann method. (English) Zbl 1496.76104 Comput. Fluids 190, 440-469 (2019). MSC: 76M28 76P05 PDFBibTeX XMLCite \textit{R. M. C. So} et al., Comput. Fluids 190, 440--469 (2019; Zbl 1496.76104) Full Text: DOI
Xu, Songzhe; Xu, Fei; Kommajosula, Aditya; Hsu, Ming-Chen; Ganapathysubramanian, Baskar Immersogeometric analysis of moving objects in incompressible flows. (English) Zbl 1519.76161 Comput. Fluids 189, 24-33 (2019). MSC: 76M10 65M60 74F10 76D05 PDFBibTeX XMLCite \textit{S. Xu} et al., Comput. Fluids 189, 24--33 (2019; Zbl 1519.76161) Full Text: DOI Link
Riahi, H.; Meldi, M.; Favier, J.; Serre, E.; Goncalves, E. A pressure-corrected immersed boundary method for the numerical simulation of compressible flows. (English) Zbl 1416.76226 J. Comput. Phys. 374, 361-383 (2018). MSC: 76M25 76N15 PDFBibTeX XMLCite \textit{H. Riahi} et al., J. Comput. Phys. 374, 361--383 (2018; Zbl 1416.76226) Full Text: DOI HAL
Maxian, Ondrej; Kassen, Andrew T.; Strychalski, Wanda A continuous energy-based immersed boundary method for elastic shells. (English) Zbl 1415.76778 J. Comput. Phys. 371, 333-362 (2018). MSC: 76Z05 74F10 76D07 PDFBibTeX XMLCite \textit{O. Maxian} et al., J. Comput. Phys. 371, 333--362 (2018; Zbl 1415.76778) Full Text: DOI arXiv
Chen, Xiaohong; Li, Zhilin; Ruiz Álvarez, Juan A direct IIM approach for two-phase Stokes equations with discontinuous viscosity on staggered grids. (English) Zbl 1410.76281 Comput. Fluids 172, 549-563 (2018). MSC: 76M20 65N06 35Q35 35R05 65N22 76D07 PDFBibTeX XMLCite \textit{X. Chen} et al., Comput. Fluids 172, 549--563 (2018; Zbl 1410.76281) Full Text: DOI
Tschisgale, Silvio; Kempe, Tobias; Fröhlich, Jochen A general implicit direct forcing immersed boundary method for rigid particles. (English) Zbl 1410.76049 Comput. Fluids 170, 285-298 (2018). MSC: 76D05 74F10 76-04 76M12 PDFBibTeX XMLCite \textit{S. Tschisgale} et al., Comput. Fluids 170, 285--298 (2018; Zbl 1410.76049) Full Text: DOI
Mittal, H. V. R.; Ray, Rajendra K. Solving immersed interface problems using a new interfacial points-based finite difference approach. (English) Zbl 1448.65195 SIAM J. Sci. Comput. 40, No. 3, A1860-A1883 (2018). MSC: 65N06 52B10 68U05 68U07 65D18 65D05 76M20 76D07 35Q35 35R05 PDFBibTeX XMLCite \textit{H. V. R. Mittal} and \textit{R. K. Ray}, SIAM J. Sci. Comput. 40, No. 3, A1860--A1883 (2018; Zbl 1448.65195) Full Text: DOI
Kim, Woojin; Lee, Injae; Choi, Haecheon A weak-coupling immersed boundary method for fluid-structure interaction with low density ratio of solid to fluid. (English) Zbl 1383.74086 J. Comput. Phys. 359, 296-311 (2018). MSC: 74S05 74F10 76M10 PDFBibTeX XMLCite \textit{W. Kim} et al., J. Comput. Phys. 359, 296--311 (2018; Zbl 1383.74086) Full Text: DOI
Liska, Sebastian; Colonius, Tim A fast immersed boundary method for external incompressible viscous flows using lattice Green’s functions. (English) Zbl 1378.76083 J. Comput. Phys. 331, 257-279 (2017). MSC: 76M25 76D05 76D17 PDFBibTeX XMLCite \textit{S. Liska} and \textit{T. Colonius}, J. Comput. Phys. 331, 257--279 (2017; Zbl 1378.76083) Full Text: DOI arXiv Link
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
Feldman, Yuri; Gulberg, Yosef An extension of the immersed boundary method based on the distributed Lagrange multiplier approach. (English) Zbl 1351.76105 J. Comput. Phys. 322, 248-266 (2016). MSC: 76M12 65M08 76D05 PDFBibTeX XMLCite \textit{Y. Feldman} and \textit{Y. Gulberg}, J. Comput. Phys. 322, 248--266 (2016; Zbl 1351.76105) Full Text: DOI
Greene, Patrick T.; Eldredge, Jeff D.; Zhong, Xiaolin; Kim, John A high-order multi-zone cut-stencil method for numerical simulations of high-speed flows over complex geometries. (English) Zbl 1349.76467 J. Comput. Phys. 316, 652-681 (2016). MSC: 76M20 65M06 76K05 76N15 PDFBibTeX XMLCite \textit{P. T. Greene} et al., J. Comput. Phys. 316, 652--681 (2016; Zbl 1349.76467) Full Text: DOI
Manzari, Mohammad T.; Peskin, Charles S. Paradoxical waves and active mechanism in the cochlea. (English) Zbl 1333.76097 Discrete Contin. Dyn. Syst. 36, No. 8, 4531-4552 (2016). MSC: 76Z05 92C35 92C10 PDFBibTeX XMLCite \textit{M. T. Manzari} and \textit{C. S. Peskin}, Discrete Contin. Dyn. Syst. 36, No. 8, 4531--4552 (2016; Zbl 1333.76097) Full Text: DOI
Casquero, Hugo; Bona-Casas, Carles; Gomez, Hector A NURBS-based immersed methodology for fluid-structure interaction. (English) Zbl 1423.74261 Comput. Methods Appl. Mech. Eng. 284, 943-970 (2015). MSC: 74F10 65D17 65M60 74D10 76D99 PDFBibTeX XMLCite \textit{H. Casquero} et al., Comput. Methods Appl. Mech. Eng. 284, 943--970 (2015; Zbl 1423.74261) Full Text: DOI
Maertens, Audrey P.; Weymouth, Gabriel D. Accurate Cartesian-grid simulations of near-body flows at intermediate Reynolds numbers. (English) Zbl 1423.76180 Comput. Methods Appl. Mech. Eng. 283, 106-129 (2015). MSC: 76G25 74F10 76M20 PDFBibTeX XMLCite \textit{A. P. Maertens} and \textit{G. D. Weymouth}, Comput. Methods Appl. Mech. Eng. 283, 106--129 (2015; Zbl 1423.76180) Full Text: DOI Link
Frisani, Angelo; Hassan, Yassin A. On the immersed boundary method: finite element versus finite volume approach. (English) Zbl 1390.65105 Comput. Fluids 121, 51-67 (2015). MSC: 65M60 65M08 76M10 76M12 PDFBibTeX XMLCite \textit{A. Frisani} and \textit{Y. A. Hassan}, Comput. Fluids 121, 51--67 (2015; Zbl 1390.65105) Full Text: DOI
Nicolaou, L.; Jung, S. Y.; Zaki, T. A. A robust direct-forcing immersed boundary method with enhanced stability for moving body problems in curvilinear coordinates. (English) Zbl 1390.76603 Comput. Fluids 119, 101-114 (2015). MSC: 76M20 65M06 76D05 PDFBibTeX XMLCite \textit{L. Nicolaou} et al., Comput. Fluids 119, 101--114 (2015; Zbl 1390.76603) Full Text: DOI Link
van Nimwegen, A. T.; Schutte, K. C. J.; Portela, L. M. Direct numerical simulation of turbulent flow in pipes with an arbitrary roughness topography using a combined momentum-mass source immersed boundary method. (English) Zbl 1390.76249 Comput. Fluids 108, 92-106 (2015). MSC: 76F65 76M12 PDFBibTeX XMLCite \textit{A. T. van Nimwegen} et al., Comput. Fluids 108, 92--106 (2015; Zbl 1390.76249) Full Text: DOI
Collin, Annabelle; Chapelle, Dominique; Moireau, Philippe A Luenberger observer for reaction-diffusion models with front position data. (English) Zbl 1349.76445 J. Comput. Phys. 300, 288-307 (2015). MSC: 76M20 35K58 35K20 35K57 65M06 94A08 PDFBibTeX XMLCite \textit{A. Collin} et al., J. Comput. Phys. 300, 288--307 (2015; Zbl 1349.76445) Full Text: DOI
Zhang, P.; Benard, A. Numerical simulation of particle motion using a combined MacCormack and immersed boundary method. (English) Zbl 1349.76560 J. Comput. Phys. 294, 524-546 (2015). MSC: 76M20 65M06 65M75 74F10 76Nxx 76T20 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{A. Benard}, J. Comput. Phys. 294, 524--546 (2015; Zbl 1349.76560) Full Text: DOI
Ko, William; Stockie, John M. An immersed boundary model of the cochlea with parametric forcing. (English) Zbl 1316.35031 SIAM J. Appl. Math. 75, No. 3, 1065-1089 (2015). MSC: 35B34 74F10 76D05 76Z05 PDFBibTeX XMLCite \textit{W. Ko} and \textit{J. M. Stockie}, SIAM J. Appl. Math. 75, No. 3, 1065--1089 (2015; Zbl 1316.35031) Full Text: DOI arXiv
Muldoon, Frank Maximization of mass flow in a channel obstructed by an infinitely thin plate using a gradient-based control strategy. (English) Zbl 1365.76040 Comput. Fluids 70, 176-194 (2012). MSC: 76D05 76D55 PDFBibTeX XMLCite \textit{F. Muldoon}, Comput. Fluids 70, 176--194 (2012; Zbl 1365.76040) Full Text: DOI
Maniyeri, Ranjith; Suh, Yong Kweon; Kang, Sangmo; Kim, Min Jun Numerical study on the propulsion of a bacterial flagellum in a viscous fluid using an immersed boundary method. (English) Zbl 1365.76359 Comput. Fluids 62, 13-24 (2012). MSC: 76Z10 92C35 76M12 PDFBibTeX XMLCite \textit{R. Maniyeri} et al., Comput. Fluids 62, 13--24 (2012; Zbl 1365.76359) Full Text: DOI
Zhang, Zhi-Qian; Liu, G. R.; Khoo, Boo Cheong Immersed smoothed finite element method for two dimensional fluid-structure interaction problems. (English) Zbl 1242.74178 Int. J. Numer. Methods Eng. 90, No. 10, 1292-1320 (2012). MSC: 74S05 76M10 74F10 76D05 PDFBibTeX XMLCite \textit{Z.-Q. Zhang} et al., Int. J. Numer. Methods Eng. 90, No. 10, 1292--1320 (2012; Zbl 1242.74178) Full Text: DOI
Fang, Jiannong; Diebold, Marc; Higgins, Chad; Parlange, Marc B. Towards oscillation-free implementation of the immersed boundary method with spectral-like methods. (English) Zbl 1408.76412 J. Comput. Phys. 230, No. 22, 8179-8191 (2011). MSC: 76M28 65M70 65M85 76D05 PDFBibTeX XMLCite \textit{J. Fang} et al., J. Comput. Phys. 230, No. 22, 8179--8191 (2011; Zbl 1408.76412) Full Text: DOI Link
Xu, Sheng A boundary condition capturing immersed interface method for 3D rigid objects in a flow. (English) Zbl 1408.76172 J. Comput. Phys. 230, No. 19, 7176-7190 (2011). MSC: 76D05 76M25 PDFBibTeX XMLCite \textit{S. Xu}, J. Comput. Phys. 230, No. 19, 7176--7190 (2011; Zbl 1408.76172) Full Text: DOI
Chen, Kuan-Yu; Feng, Ko-An; Kim, Yongsam; Lai, Ming-Chih A note on pressure accuracy in immersed boundary method for Stokes flow. (English) Zbl 1416.76098 J. Comput. Phys. 230, No. 12, 4377-4383 (2011). MSC: 76M10 76D07 65N06 65N85 PDFBibTeX XMLCite \textit{K.-Y. Chen} et al., J. Comput. Phys. 230, No. 12, 4377--4383 (2011; Zbl 1416.76098) Full Text: DOI
Li, Zhilin; Lai, Ming-Chih; He, Guowei; Zhao, Hongkai An augmented method for free boundary problems with moving contact lines. (English) Zbl 1242.76047 Comput. Fluids 39, No. 6, 1033-1040 (2010). MSC: 76D27 76D45 76M25 76M20 PDFBibTeX XMLCite \textit{Z. Li} et al., Comput. Fluids 39, No. 6, 1033--1040 (2010; Zbl 1242.76047) Full Text: DOI Link
Sudhakar, Y.; Vengadesan, S. Flight force production by flapping insect wings in inclined stroke plane kinematics. (English) Zbl 1242.76379 Comput. Fluids 39, No. 4, 683-695 (2010). MSC: 76Z10 92C10 PDFBibTeX XMLCite \textit{Y. Sudhakar} and \textit{S. Vengadesan}, Comput. Fluids 39, No. 4, 683--695 (2010; Zbl 1242.76379) Full Text: DOI
Pinelli, A.; Naqavi, I. Z.; Piomelli, U.; Favier, J. Immersed-boundary methods for general finite-difference and finite-volume Navier-Stokes solvers. (English) Zbl 1427.76053 J. Comput. Phys. 229, No. 24, 9073-9091 (2010). MSC: 76D05 76M20 76M12 PDFBibTeX XMLCite \textit{A. Pinelli} et al., J. Comput. Phys. 229, No. 24, 9073--9091 (2010; Zbl 1427.76053) Full Text: DOI
Gong, Zhao-xin; Lu, Chuan-jing; Huang, Hua-xiong Accuracy analysis of immersed boundary method using method of manufactured solutions. (English) Zbl 1410.76326 Appl. Math. Mech., Engl. Ed. 31, No. 10, 1197-1208 (2010). MSC: 76M25 65N12 76M15 PDFBibTeX XMLCite \textit{Z.-x. Gong} et al., Appl. Math. Mech., Engl. Ed. 31, No. 10, 1197--1208 (2010; Zbl 1410.76326) Full Text: DOI
Tan, Zhijun; Wang, Desheng; Wang, Yu A Jacobian-free-based IIM for incompressible flows involving moving interfaces with Dirichlet boundary conditions. (English) Zbl 1197.76089 Int. J. Numer. Methods Eng. 83, No. 4, 508-536 (2010). MSC: 76M20 76D07 PDFBibTeX XMLCite \textit{Z. Tan} et al., Int. J. Numer. Methods Eng. 83, No. 4, 508--536 (2010; Zbl 1197.76089) Full Text: DOI
Guy, Robert D.; Hartenstine, David A. On the accuracy of direct forcing immersed boundary methods with projection methods. (English) Zbl 1423.76337 J. Comput. Phys. 229, No. 7, 2479-2496 (2010). MSC: 76M25 35Q30 PDFBibTeX XMLCite \textit{R. D. Guy} and \textit{D. A. Hartenstine}, J. Comput. Phys. 229, No. 7, 2479--2496 (2010; Zbl 1423.76337) Full Text: DOI
Santhanakrishnan, Arvind; Nguyen, Nhi; Cox, Jennifer G.; Miller, Laura A. Flow within models of the vertebrate embryonic heart. (English) Zbl 1402.92141 J. Theor. Biol. 259, No. 3, 449-461 (2009). MSC: 92C35 76Z05 92C15 PDFBibTeX XMLCite \textit{A. Santhanakrishnan} et al., J. Theor. Biol. 259, No. 3, 449--461 (2009; Zbl 1402.92141) Full Text: DOI
Kim, Yongsam; Peskin, Charles S. 3-D parachute simulation by the immersed boundary method. (English) Zbl 1242.76242 Comput. Fluids 38, No. 6, 1080-1090 (2009). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{Y. Kim} and \textit{C. S. Peskin}, Comput. Fluids 38, No. 6, 1080--1090 (2009; Zbl 1242.76242) Full Text: DOI
Layton, Anita T. Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces. (English) Zbl 1237.76123 Comput. Fluids 38, No. 2, 266-272 (2009). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{A. T. Layton}, Comput. Fluids 38, No. 2, 266--272 (2009; Zbl 1237.76123) Full Text: DOI
Yang, Xiaolei; Zhang, Xing; Li, Zhilin; He, Guo-Wei A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations. (English) Zbl 1391.76590 J. Comput. Phys. 228, No. 20, 7821-7836 (2009). MSC: 76M25 65N99 PDFBibTeX XMLCite \textit{X. Yang} et al., J. Comput. Phys. 228, No. 20, 7821--7836 (2009; Zbl 1391.76590) Full Text: DOI
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 PDFBibTeX XMLCite \textit{B. E. Griffith}, J. Comput. Phys. 228, No. 20, 7565--7595 (2009; Zbl 1391.76474) Full Text: DOI
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
Hsu, Chia-Yu; Dillon, Robert A 3D motile rod-shaped monotrichous bacterial model. (English) Zbl 1168.92015 Bull. Math. Biol. 71, No. 5, 1228-1263 (2009). MSC: 92C37 76D05 74F10 65C20 PDFBibTeX XMLCite \textit{C.-Y. Hsu} and \textit{R. Dillon}, Bull. Math. Biol. 71, No. 5, 1228--1263 (2009; Zbl 1168.92015) Full Text: DOI
Luo, Xian; Maxey, Martin R.; Karniadakis, George Em Smoothed profile method for particulate flows: error analysis and simulations. (English) Zbl 1409.76102 J. Comput. Phys. 228, No. 5, 1750-1769 (2009). MSC: 76M25 76T20 PDFBibTeX XMLCite \textit{X. Luo} et al., J. Comput. Phys. 228, No. 5, 1750--1769 (2009; Zbl 1409.76102) Full Text: DOI
Liu, Hailiang; Wang, Zhongming Superposition of multi-valued solutions in high frequency wave dynamics. (English) Zbl 1203.65141 J. Sci. Comput. 35, No. 2-3, 192-218 (2008). MSC: 65M06 35F20 76M25 PDFBibTeX XMLCite \textit{H. Liu} and \textit{Z. Wang}, J. Sci. Comput. 35, No. 2--3, 192--218 (2008; Zbl 1203.65141) Full Text: DOI
Cheng, Lei; White, Robert D.; Grosh, Karl Three-dimensional viscous finite element formulation for acoustic fluid-structure interaction. (English) Zbl 1194.76108 Comput. Methods Appl. Mech. Eng. 197, No. 49-50, 4160-4172 (2008). MSC: 76M10 76Q05 74F10 PDFBibTeX XMLCite \textit{L. Cheng} et al., Comput. Methods Appl. Mech. Eng. 197, No. 49--50, 4160--4172 (2008; Zbl 1194.76108) Full Text: DOI
Newren, Elijah P.; Fogelson, Aaron L.; Guy, Robert D.; Kirby, Robert M. A comparison of implicit solvers for the immersed boundary equations. (English) Zbl 1158.76409 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2290-2304 (2008). MSC: 76M25 74F10 76D05 76M20 65M06 65N22 PDFBibTeX XMLCite \textit{E. P. Newren} et al., Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2290--2304 (2008; Zbl 1158.76409) Full Text: DOI
Vos, P. E. J.; van Loon, R.; Sherwin, S. J. A comparison of fictitious domain methods appropriate for spectral/\(hp\) element discretisations. (English) Zbl 1158.76357 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2275-2289 (2008). MSC: 76M10 76M22 74F10 PDFBibTeX XMLCite \textit{P. E. J. Vos} et al., Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2275--2289 (2008; Zbl 1158.76357) Full Text: DOI
Layton, Anita T. An efficient numerical method for the two-fluid Stokes equations with a moving immersed boundary. (English) Zbl 1158.76381 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2147-2155 (2008). MSC: 76M20 76M25 76D07 35R05 65M12 65N06 PDFBibTeX XMLCite \textit{A. T. Layton}, Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2147--2155 (2008; Zbl 1158.76381) Full Text: DOI
Colonius, Tim; Taira, Kunihiko A fast immersed boundary method using a nullspace approach and multi-domain far-field boundary conditions. (English) Zbl 1158.76395 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2131-2146 (2008). MSC: 76M25 76D05 76M12 PDFBibTeX XMLCite \textit{T. Colonius} and \textit{K. Taira}, Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2131--2146 (2008; Zbl 1158.76395) Full Text: DOI
Xu, Sheng; Wang, Z. Jane A 3D immersed interface method for fluid-solid interaction. (English) Zbl 1158.74540 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2068-2086 (2008). MSC: 74S30 74F10 76D05 PDFBibTeX XMLCite \textit{S. Xu} and \textit{Z. J. Wang}, Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2068--2086 (2008; Zbl 1158.74540) Full Text: DOI
Lee, Sunmi; Jung, Eunok A two-chamber model of valveless pumping using the immersed boundary method. (English) Zbl 1163.76011 Appl. Math. Comput. 206, No. 2, 876-884 (2008). MSC: 76D05 76Z05 76M25 76M20 74F10 92C10 PDFBibTeX XMLCite \textit{S. Lee} and \textit{E. Jung}, Appl. Math. Comput. 206, No. 2, 876--884 (2008; Zbl 1163.76011) Full Text: DOI
Tan, Zhijun; Le, D. V.; Li, Zhilin; Lim, K. M.; Khoo, B. C. An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane. (English) Zbl 1317.76064 J. Comput. Phys. 227, No. 23, 9955-9983 (2008). MSC: 76M25 74F10 74H15 76Z05 65N30 PDFBibTeX XMLCite \textit{Z. Tan} et al., J. Comput. Phys. 227, No. 23, 9955--9983 (2008; Zbl 1317.76064) Full Text: DOI
Hou, Thomas Y.; Shi, Zuoqiang An efficient semi-implicit immersed boundary method for the Navier-Stokes equations. (English) Zbl 1161.76048 J. Comput. Phys. 227, No. 20, 8968-8991 (2008). Reviewer: Jagdish Prakash (Mumbai) MSC: 76M25 76D05 74F10 PDFBibTeX XMLCite \textit{T. Y. Hou} and \textit{Z. Shi}, J. Comput. Phys. 227, No. 20, 8968--8991 (2008; Zbl 1161.76048) Full Text: DOI
Hou, Thomas Y.; Shi, Zuoqiang Removing the stiffness of elastic force from the immersed boundary method for the 2D Stokes equations. (English) Zbl 1294.76201 J. Comput. Phys. 227, No. 21, 9138-9169 (2008). MSC: 76M20 76M22 76D07 PDFBibTeX XMLCite \textit{T. Y. Hou} and \textit{Z. Shi}, J. Comput. Phys. 227, No. 21, 9138--9169 (2008; Zbl 1294.76201) Full Text: DOI arXiv Link
Wang, Zeli; Fan, Jianren; Luo, Kun Parallel computing strategy for the simulation of particulate flows with immersed boundary method. (English) Zbl 1143.76049 Sci. China, Ser. E 51, No. 8, 1169-1176 (2008). MSC: 76M25 76T20 65Y05 PDFBibTeX XMLCite \textit{Z. Wang} et al., Sci. China, Ser. E 51, No. 8, 1169--1176 (2008; Zbl 1143.76049) Full Text: DOI
Mori, Yoichiro Convergence proof of the velocity field for a Stokes flow immersed boundary method. (English) Zbl 1171.76042 Commun. Pure Appl. Math. 61, No. 9, 1213-1263 (2008). Reviewer: Tomislav Zlatanovski (Skopje) MSC: 76M22 76M20 76D07 74F10 65M12 65N12 PDFBibTeX XMLCite \textit{Y. Mori}, Commun. Pure Appl. Math. 61, No. 9, 1213--1263 (2008; Zbl 1171.76042) Full Text: DOI
Su, Shen-Wei; Lai, Ming-Chih; Lin, Chao-An An immersed boundary technique for simulating complex flows with rigid boundary. (English) Zbl 1177.76299 Comput. Fluids 36, No. 2, 313-324 (2007). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{S.-W. Su} et al., Comput. Fluids 36, No. 2, 313--324 (2007; Zbl 1177.76299) Full Text: DOI
Kim, Yongsam; Peskin, Charles S. Penalty immersed boundary method for an elastic boundary with mass. (English) Zbl 1146.76441 Phys. Fluids 19, No. 5, 053103, 18 p. (2007). MSC: 76-XX PDFBibTeX XMLCite \textit{Y. Kim} and \textit{C. S. Peskin}, Phys. Fluids 19, No. 5, 053103, 18 p. (2007; Zbl 1146.76441) Full Text: DOI
Boffi, Daniele; Gastaldi, Lucia; Heltai, Luca Numerical stability of the finite element immersed boundary method. (English) Zbl 1186.76661 Math. Models Methods Appl. Sci. 17, No. 10, 1479-1505 (2007). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76M10 76D05 74F10 65N12 65N30 PDFBibTeX XMLCite \textit{D. Boffi} et al., Math. Models Methods Appl. Sci. 17, No. 10, 1479--1505 (2007; Zbl 1186.76661) Full Text: DOI
Hou, Thomas Y.; Li, Ruo Computing nearly singular solutions using pseudo-spectral methods. (English) Zbl 1310.76127 J. Comput. Phys. 226, No. 1, 379-397 (2007). MSC: 76M22 65M70 PDFBibTeX XMLCite \textit{T. Y. Hou} and \textit{R. Li}, J. Comput. Phys. 226, No. 1, 379--397 (2007; Zbl 1310.76127) Full Text: DOI arXiv Link
Taira, Kunihiko; Colonius, Tim The immersed boundary method: a projection approach. (English) Zbl 1343.76027 J. Comput. Phys. 225, No. 2, 2118-2137 (2007). MSC: 76M12 76M25 76D05 PDFBibTeX XMLCite \textit{K. Taira} and \textit{T. Colonius}, J. Comput. Phys. 225, No. 2, 2118--2137 (2007; Zbl 1343.76027) Full Text: DOI
Zhong, Xiaolin A new high-order immersed interface method for solving elliptic equations with imbedded interface of discontinuity. (English) Zbl 1343.65130 J. Comput. Phys. 225, No. 1, 1066-1099 (2007). MSC: 65N06 76M20 76T99 PDFBibTeX XMLCite \textit{X. Zhong}, J. Comput. Phys. 225, No. 1, 1066--1099 (2007; Zbl 1343.65130) Full Text: DOI
Newren, Elijah P.; Fogelson, Aaron L.; Guy, Robert D.; Kirby, Robert M. Unconditionally stable discretizations of the immersed boundary equations. (English) Zbl 1158.74350 J. Comput. Phys. 222, No. 2, 702-719 (2007). MSC: 74F10 65M12 76D05 76M20 PDFBibTeX XMLCite \textit{E. P. Newren} et al., J. Comput. Phys. 222, No. 2, 702--719 (2007; Zbl 1158.74350) Full Text: DOI
Cristallo, Antonio; Verzicco, Roberto Combined immersed boundary/large eddy simulations of incompressible three-dimensional complex flows. (English) Zbl 1106.76037 Flow Turbul. Combust. 77, No. 1-4, 3-26 (2006). MSC: 76F65 76M25 PDFBibTeX XMLCite \textit{A. Cristallo} and \textit{R. Verzicco}, Flow Turbul. Combust. 77, No. 1--4, 3--26 (2006; Zbl 1106.76037) 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
Linnick, Mark N.; Fasel, Hermann F. A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains. (English) Zbl 1143.76538 J. Comput. Phys. 204, No. 1, 157-192 (2005). MSC: 76M25 65M06 PDFBibTeX XMLCite \textit{M. N. Linnick} and \textit{H. F. Fasel}, J. Comput. Phys. 204, No. 1, 157--192 (2005; Zbl 1143.76538) Full Text: DOI
Enriquez-Remigio, Santos Alberto; Roma, Alexandre Megiorin Incompressible flows in elastic domains: an immersed boundary method approach. (English) Zbl 1147.76564 Appl. Math. Modelling 29, No. 1, 35-54 (2005). MSC: 76D05 76M15 PDFBibTeX XMLCite \textit{S. A. Enriquez-Remigio} and \textit{A. M. Roma}, Appl. Math. Modelling 29, No. 1, 35--54 (2005; Zbl 1147.76564) Full Text: DOI
Tornberg, Anna-Karin; Engquist, Björn Numerical approximations of singular source terms in differential equations. (English) Zbl 1115.76392 J. Comput. Phys. 200, No. 2, 462-488 (2004). MSC: 76M25 74S30 65N99 PDFBibTeX XMLCite \textit{A.-K. Tornberg} and \textit{B. Engquist}, J. Comput. Phys. 200, No. 2, 462--488 (2004; Zbl 1115.76392) Full Text: DOI
Jin, Shi; Wang, Xuelei Robust numerical simulation of porosity evolution in chemical vapor infiltration. II: Two-dimensional anisotropic fronts. (English) Zbl 1130.76385 J. Comput. Phys. 179, No. 2, 557-577 (2002). MSC: 76M20 76V05 76S05 80A30 76T30 PDFBibTeX XMLCite \textit{S. Jin} and \textit{X. Wang}, J. Comput. Phys. 179, No. 2, 557--577 (2002; Zbl 1130.76385) Full Text: DOI
Zhu, Luoding; Peskin, Charles S. Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. (English) Zbl 1130.76406 J. Comput. Phys. 179, No. 2, 452-468 (2002). MSC: 76M25 74F10 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{C. S. Peskin}, J. Comput. Phys. 179, No. 2, 452--468 (2002; Zbl 1130.76406) Full Text: DOI Link
Calhoun, Donna A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions. (English) Zbl 1130.76371 J. Comput. Phys. 176, No. 2, 231-275 (2002). MSC: 76M12 76M20 76D05 65N06 PDFBibTeX XMLCite \textit{D. Calhoun}, J. Comput. Phys. 176, No. 2, 231--275 (2002; Zbl 1130.76371) Full Text: DOI Link