Magome, Nozomi; Morita, Naoki; Kaneko, Shigeki; Mitsume, Naoto Higher-continuity s-version of finite element method with B-Spline functions. (English) Zbl 07811299 J. Comput. Phys. 497, Article ID 112593, 18 p. (2024). MSC: 74Sxx 76Mxx 65Mxx PDFBibTeX XMLCite \textit{N. Magome} et al., J. Comput. Phys. 497, Article ID 112593, 18 p. (2024; Zbl 07811299) Full Text: DOI
Giahi, Mohammad; Bergstrom, Donald A critical assessment of the immersed boundary method for modeling flow around fixed and moving bodies. (English) Zbl 1521.76506 Comput. Fluids 256, Article ID 105841, 19 p. (2023). MSC: 76M15 PDFBibTeX XMLCite \textit{M. Giahi} and \textit{D. Bergstrom}, Comput. Fluids 256, Article ID 105841, 19 p. (2023; Zbl 1521.76506) Full Text: DOI
Kaudur, Srivatsa Bhat; Patil, Mayuresh J. Shape optimization with immersed interface finite element method. (English) Zbl 07769247 Int. J. Numer. Methods Eng. 123, No. 23, 5907-5936 (2022). MSC: 65N30 49Q10 49Q12 74E30 74S05 PDFBibTeX XMLCite \textit{S. B. Kaudur} and \textit{M. J. Patil}, Int. J. Numer. Methods Eng. 123, No. 23, 5907--5936 (2022; Zbl 07769247) Full Text: DOI
Ni, Ruichen; Li, Jiasheng; Zhang, Xiong; Zhou, Xu; Cui, Xiaoxiao An immersed boundary-material point method for shock-structure interaction and dynamic fracture. (English) Zbl 07599602 J. Comput. Phys. 470, Article ID 111558, 30 p. (2022). MSC: 76Mxx 74Sxx 76Dxx PDFBibTeX XMLCite \textit{R. Ni} et al., J. Comput. Phys. 470, Article ID 111558, 30 p. (2022; Zbl 07599602) Full Text: DOI
Xie, Zhihua An implicit Cartesian cut-cell method for incompressible viscous flows with complex geometries. (English) Zbl 1507.76142 Comput. Methods Appl. Mech. Eng. 399, Article ID 115449, 24 p. (2022). MSC: 76M12 65M08 PDFBibTeX XMLCite \textit{Z. Xie}, Comput. Methods Appl. Mech. Eng. 399, Article ID 115449, 24 p. (2022; Zbl 1507.76142) Full Text: DOI
Natarajan, Mahesh; Grout, Ray; Zhang, Weiqun; Day, Marc A moving embedded boundary approach for the compressible Navier-Stokes equations in a block-structured adaptive refinement framework. (English) Zbl 07561045 J. Comput. Phys. 465, Article ID 111315, 29 p. (2022). MSC: 76Mxx 65Mxx 76Nxx PDFBibTeX XMLCite \textit{M. Natarajan} et al., J. Comput. Phys. 465, Article ID 111315, 29 p. (2022; Zbl 07561045) Full Text: DOI arXiv
Kan, Lei; Zhang, Xiong An immersed MMALE material point method for FSI problems with structure fracturing. (English) Zbl 1507.74555 Comput. Methods Appl. Mech. Eng. 396, Article ID 115099, 29 p. (2022). MSC: 74S60 65M75 74F10 PDFBibTeX XMLCite \textit{L. Kan} and \textit{X. Zhang}, Comput. Methods Appl. Mech. Eng. 396, Article ID 115099, 29 p. (2022; Zbl 1507.74555) Full Text: DOI
Xie, Zhihua; Lin, Pengzhi; Stoesser, Thorsten A conservative and consistent implicit Cartesian cut-cell method for moving geometries with reduced spurious pressure oscillations. (English) Zbl 07525122 J. Comput. Phys. 459, Article ID 111124, 21 p. (2022). MSC: 76Mxx 76Dxx 65Mxx PDFBibTeX XMLCite \textit{Z. Xie} et al., J. Comput. Phys. 459, Article ID 111124, 21 p. (2022; Zbl 07525122) Full Text: DOI
Kingora, Kamau; Sadat-Hosseini, Hamid A novel interpolation-free sharp-interface immersed boundary method. (English) Zbl 07517711 J. Comput. Phys. 453, Article ID 110933, 30 p. (2022). MSC: 76Mxx 76Dxx 65Mxx PDFBibTeX XMLCite \textit{K. Kingora} and \textit{H. Sadat-Hosseini}, J. Comput. Phys. 453, Article ID 110933, 30 p. (2022; Zbl 07517711) Full Text: DOI
He, Sida; Yang, Zixuan; Sotiropoulos, Fotis; Shen, Lian Numerical simulation of interaction between multiphase flows and thin flexible structures. (English) Zbl 07516788 J. Comput. Phys. 448, Article ID 110691, 12 p. (2022). MSC: 76Mxx 76Dxx 65Mxx PDFBibTeX XMLCite \textit{S. He} et al., J. Comput. Phys. 448, Article ID 110691, 12 p. (2022; Zbl 07516788) Full Text: DOI
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 1521.76763 Comput. Fluids 238, Article ID 105358, 22 p. (2022). MSC: 76M99 74F10 65M50 76Txx PDFBibTeX XMLCite \textit{Y. Zeng} et al., Comput. Fluids 238, Article ID 105358, 22 p. (2022; Zbl 1521.76763) Full Text: DOI
Wang, Xinxin; Deiterding, Ralf; Liang, Jianhan; Cai, Xiaodong; Zhao, Wandong A second-order-accurate immersed boundary ghost-cell method with hybrid reconstruction for compressible flow simulations. (English) Zbl 1521.76479 Comput. Fluids 237, Article ID 105314, 16 p. (2022). MSC: 76M12 76Nxx PDFBibTeX XMLCite \textit{X. Wang} et al., Comput. Fluids 237, Article ID 105314, 16 p. (2022; Zbl 1521.76479) 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
Brady, P. T.; Livescu, D. Foundations for high-order, conservative cut-cell methods: stable discretizations on degenerate meshes. (English) Zbl 07510037 J. Comput. Phys. 426, Article ID 109794, 33 p. (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{P. T. Brady} and \textit{D. Livescu}, J. Comput. Phys. 426, Article ID 109794, 33 p. (2021; Zbl 07510037) Full Text: DOI Link
Selçuk, Can; Ghigo, Arthur R.; Popinet, Stéphane; Wachs, Anthony A fictitious domain method with distributed Lagrange multipliers on adaptive quad/octrees for the direct numerical simulation of particle-laden flows. (English) Zbl 07506513 J. Comput. Phys. 430, Article ID 109954, 29 p. (2021). MSC: 76Mxx 76Txx 65Mxx PDFBibTeX XMLCite \textit{C. Selçuk} et al., J. Comput. Phys. 430, Article ID 109954, 29 p. (2021; Zbl 07506513) Full Text: DOI HAL
Zhang, Xiaohui; Gu, Xiechong; Ma, Ning A ghost-cell immersed boundary method on preventing spurious oscillations for incompressible flows with a momentum interpolation method. (English) Zbl 1521.76606 Comput. Fluids 220, Article ID 104871, 15 p. (2021). MSC: 76M20 65M06 65M12 76D05 PDFBibTeX XMLCite \textit{X. Zhang} et al., Comput. Fluids 220, Article ID 104871, 15 p. (2021; Zbl 1521.76606) Full Text: DOI
Mazhar, Farrukh; Javed, Ali; Xing, Jing Tang; Shahzad, Aamer; Mansoor, Mohtashim; Maqsood, Adnan; Shah, Syed Irtiza Ali; Asim, Kamran On the meshfree particle methods for fluid-structure interaction problems. (English) Zbl 1464.76150 Eng. Anal. Bound. Elem. 124, 14-40 (2021). MSC: 76M28 65M75 74F10 76D05 PDFBibTeX XMLCite \textit{F. Mazhar} et al., Eng. Anal. Bound. Elem. 124, 14--40 (2021; Zbl 1464.76150) Full Text: DOI
Muralidharan, Balaji; Menon, Suresh A higher-order cut-cell methodology for large eddy simulation of compressible viscous flow problems with embedded boundaries. (English) Zbl 1512.76052 Roy, Somnath (ed.) et al., Immersed boundary method. Development and applications. Singapore: Springer. Comput. Methods Eng. Sci., 277-299 (2020). MSC: 76F65 76M12 76F50 PDFBibTeX XMLCite \textit{B. Muralidharan} and \textit{S. Menon}, in: Immersed boundary method. Development and applications. Singapore: Springer. 277--299 (2020; Zbl 1512.76052) Full Text: DOI
Essmann, Erich; Shui, Pei; Popinet, Stéphane; Zaleski, Stéphane; Valluri, Prashant; Govindarajan, Rama Chaotic orbits of tumbling ellipsoids. (English) Zbl 1460.76833 J. Fluid Mech. 903, Paper No. A10, 31 p. (2020). MSC: 76T20 37D45 PDFBibTeX XMLCite \textit{E. Essmann} et al., J. Fluid Mech. 903, Paper No. A10, 31 p. (2020; Zbl 1460.76833) Full Text: DOI HAL
Bergmann, Michel; Fondanèche, Antoine; Iollo, Angelo A fully Eulerian finite volume method for the simulation of fluid-structure interactions on AMR enabled quadtree grids. (English) Zbl 1453.65244 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 765-772 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65N08 65M06 74S10 74B20 74F10 65M12 PDFBibTeX XMLCite \textit{M. Bergmann} et al., Springer Proc. Math. Stat. 323, 765--772 (2020; Zbl 1453.65244) Full Text: DOI
Xie, Zhihua; Stoesser, Thorsten A three-dimensional Cartesian cut-cell/volume-of-fluid method for two-phase flows with moving bodies. (English) Zbl 1437.76032 J. Comput. Phys. 416, Article ID 109536, 22 p. (2020). MSC: 76M12 76T10 PDFBibTeX XMLCite \textit{Z. Xie} and \textit{T. Stoesser}, J. Comput. Phys. 416, Article ID 109536, 22 p. (2020; Zbl 1437.76032) Full Text: DOI Link
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
Nouveau, L.; Ricchiuto, M.; Scovazzi, G. High-order gradients with the shifted boundary method: an embedded enriched mixed formulation for elliptic PDEs. (English) Zbl 1453.76082 J. Comput. Phys. 398, Article ID 108898, 28 p. (2019). MSC: 76M10 76S05 65N30 65N12 PDFBibTeX XMLCite \textit{L. Nouveau} et al., J. Comput. Phys. 398, Article ID 108898, 28 p. (2019; Zbl 1453.76082) Full Text: DOI Link
Wachs, Anthony Particle-scale computational approaches to model dry and saturated granular flows of non-Brownian, non-cohesive, and non-spherical rigid bodies. (English) Zbl 1428.76176 Acta Mech. 230, No. 6, 1919-1980 (2019). MSC: 76M99 76T25 PDFBibTeX XMLCite \textit{A. Wachs}, Acta Mech. 230, No. 6, 1919--1980 (2019; Zbl 1428.76176) Full Text: DOI
Bahbah, C.; Khalloufi, M.; Larcher, A.; Mesri, Y.; Coupez, T.; Valette, R.; Hachem, E. Conservative and adaptive level-set method for the simulation of two-fluid flows. (English) Zbl 1519.76136 Comput. Fluids 191, Article ID 104223, 13 p. (2019). MSC: 76M10 76T99 PDFBibTeX XMLCite \textit{C. Bahbah} et al., Comput. Fluids 191, Article ID 104223, 13 p. (2019; Zbl 1519.76136) Full Text: DOI HAL
Zhang, Yang; Fang, Xinglong; Zou, Jianfeng; Shi, Xing; Ma, Zhenhai; Zheng, Yao Numerical simulations of shock/obstacle interactions using an improved ghost-cell immersed boundary method. (English) Zbl 1411.76109 Comput. Fluids 182, 128-143 (2019). MSC: 76M20 65M06 76L05 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Comput. Fluids 182, 128--143 (2019; Zbl 1411.76109) Full Text: DOI
Xin, Jianjian; Shi, Fulong; Jin, Qiu; Lin, Chao A radial basis function based ghost cell method with improved mass conservation for complex moving boundary flows. (English) Zbl 1410.76308 Comput. Fluids 176, 210-225 (2018). MSC: 76M20 65M06 76D05 PDFBibTeX XMLCite \textit{J. Xin} et al., Comput. Fluids 176, 210--225 (2018; Zbl 1410.76308) Full Text: DOI
Irfan, Muhammad; Muradoglu, Metin A front tracking method for particle-resolved simulation of evaporation and combustion of a fuel droplet. (English) Zbl 1410.76292 Comput. Fluids 174, 283-299 (2018). MSC: 76M20 65M06 76T10 76V05 80A25 PDFBibTeX XMLCite \textit{M. Irfan} and \textit{M. Muradoglu}, Comput. Fluids 174, 283--299 (2018; Zbl 1410.76292) Full Text: DOI
Huang, Daniel Z.; De Santis, Dante; Farhat, Charbel A family of position- and orientation-independent embedded boundary methods for viscous flow and fluid-structure interaction problems. (English) Zbl 1395.76044 J. Comput. Phys. 365, 74-104 (2018). MSC: 76M12 74F10 PDFBibTeX XMLCite \textit{D. Z. Huang} et al., J. Comput. Phys. 365, 74--104 (2018; Zbl 1395.76044) Full Text: DOI
Suzuki, Kosuke; Yoshino, Masato A stress tensor discontinuity-based immersed boundary-lattice Boltzmann method. (English) Zbl 1410.76381 Comput. Fluids 172, 593-608 (2018). MSC: 76M28 PDFBibTeX XMLCite \textit{K. Suzuki} and \textit{M. Yoshino}, Comput. Fluids 172, 593--608 (2018; Zbl 1410.76381) Full Text: DOI Link
Blais, Bruno; Ilinca, Florin Development and validation of a stabilized immersed boundary CFD model for freezing and melting with natural convection. (English) Zbl 1410.80016 Comput. Fluids 172, 564-581 (2018). MSC: 80M10 65M60 80A22 PDFBibTeX XMLCite \textit{B. Blais} and \textit{F. Ilinca}, Comput. Fluids 172, 564--581 (2018; Zbl 1410.80016) Full Text: DOI Link
Qu, Yegao; Shi, Ruchao; Batra, Romesh C. An immersed boundary formulation for simulating high-speed compressible viscous flows with moving solids. (English) Zbl 1380.76084 J. Comput. Phys. 354, 672-691 (2018). MSC: 76M20 76D05 PDFBibTeX XMLCite \textit{Y. Qu} et al., J. Comput. Phys. 354, 672--691 (2018; Zbl 1380.76084) Full Text: DOI
Irfan, Muhammad; Muradoglu, Metin A front tracking method for direct numerical simulation of evaporation process in a multiphase system. (English) Zbl 1415.76639 J. Comput. Phys. 337, 132-153 (2017). MSC: 76T10 76M20 65M06 80A22 PDFBibTeX XMLCite \textit{M. Irfan} and \textit{M. Muradoglu}, J. Comput. Phys. 337, 132--153 (2017; Zbl 1415.76639) 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
Bernardini, Matteo; Modesti, Davide; Pirozzoli, Sergio On the suitability of the immersed boundary method for the simulation of high-Reynolds-number separated turbulent flows. (English) Zbl 1390.76132 Comput. Fluids 130, 84-93 (2016). MSC: 76F65 76M20 76N15 PDFBibTeX XMLCite \textit{M. Bernardini} et al., Comput. Fluids 130, 84--93 (2016; Zbl 1390.76132) Full Text: DOI
Rasool, Raheel; Corbett, Callum J.; Sauer, Roger A. A strategy to interface isogeometric analysis with Lagrangian finite elements – application to incompressible flow problems. (English) Zbl 1390.76351 Comput. Fluids 127, 182-193 (2016). MSC: 76M10 65M60 65D17 76Dxx PDFBibTeX XMLCite \textit{R. Rasool} et al., Comput. Fluids 127, 182--193 (2016; Zbl 1390.76351) Full Text: DOI
Arora, Nipun; Gupta, Amit; Shyy, Wei A shifting discontinuous-grid-block lattice Boltzmann method for moving boundary simulations. (English) Zbl 1390.76697 Comput. Fluids 125, 59-70 (2016). MSC: 76M28 PDFBibTeX XMLCite \textit{N. Arora} et al., Comput. Fluids 125, 59--70 (2016; Zbl 1390.76697) Full Text: DOI
Tien, C. M. T.; Mai-Duy, N.; Tran, C.-D.; Tran-Cong, T. A numerical study of compact approximations based on flat integrated radial basis functions for second-order differential equations. (English) Zbl 1368.65126 Comput. Math. Appl. 72, No. 9, 2364-2387 (2016). MSC: 65L60 65M70 65N35 35Q30 35Q35 76M22 PDFBibTeX XMLCite \textit{C. M. T. Tien} et al., Comput. Math. Appl. 72, No. 9, 2364--2387 (2016; Zbl 1368.65126) Full Text: DOI
Pasquariello, Vito; Hammerl, Georg; Örley, Felix; Hickel, Stefan; Danowski, Caroline; Popp, Alexander; Wall, Wolfgang A.; Adams, Nikolaus A. A cut-cell finite volume - finite element coupling approach for fluid-structure interaction in compressible flow. (English) Zbl 1351.76077 J. Comput. Phys. 307, 670-695 (2016). MSC: 76M10 76M12 65M08 65M60 74F10 76N99 PDFBibTeX XMLCite \textit{V. Pasquariello} et al., J. Comput. Phys. 307, 670--695 (2016; Zbl 1351.76077) Full Text: DOI arXiv
Muralidharan, Balaji; Menon, Suresh A high-order adaptive Cartesian cut-cell method for simulation of compressible viscous flow over immersed bodies. (English) Zbl 1349.76370 J. Comput. Phys. 321, 342-368 (2016). MSC: 76M12 65M08 76Nxx PDFBibTeX XMLCite \textit{B. Muralidharan} and \textit{S. Menon}, J. Comput. Phys. 321, 342--368 (2016; Zbl 1349.76370) Full Text: DOI
Mao, Shaolin A new hybrid adaptive mesh algorithm based on Voronoi tessellations and equi-distribution principle: algorithms and numerical experiments. (English) Zbl 1390.65159 Comput. Fluids 109, 137-154 (2015). MSC: 65N50 PDFBibTeX XMLCite \textit{S. Mao}, Comput. Fluids 109, 137--154 (2015; Zbl 1390.65159) Full Text: DOI
Pan, Liang; Xu, Kun Generalized coordinate transformation and gas-kinetic scheme. (English) Zbl 1351.76246 J. Comput. Phys. 287, 207-225 (2015). MSC: 76M28 76P05 65M75 82D05 PDFBibTeX XMLCite \textit{L. Pan} and \textit{K. Xu}, J. Comput. Phys. 287, 207--225 (2015; Zbl 1351.76246) Full Text: DOI
Isola, D.; Guardone, A.; Quaranta, G. Finite-volume solution of two-dimensional compressible flows over dynamic adaptive grids. (English) Zbl 1351.76110 J. Comput. Phys. 285, 1-23 (2015). MSC: 76M12 65M08 65M50 76M25 76Nxx PDFBibTeX XMLCite \textit{D. Isola} et al., J. Comput. Phys. 285, 1--23 (2015; Zbl 1351.76110) Full Text: DOI
Örley, Felix; Pasquariello, Vito; Hickel, Stefan; Adams, Nikolaus A. Cut-element based immersed boundary method for moving geometries in compressible liquid flows with cavitation. (English) Zbl 1351.76121 J. Comput. Phys. 283, 1-22 (2015). MSC: 76M12 65M08 PDFBibTeX XMLCite \textit{F. Örley} et al., J. Comput. Phys. 283, 1--22 (2015; Zbl 1351.76121) Full Text: DOI
Liu, Haihu; Zhang, Yonghao Modelling thermocapillary migration of a microfluidic droplet on a solid surface. (English) Zbl 1349.76712 J. Comput. Phys. 280, 37-53 (2015). MSC: 76M28 76T99 76B45 PDFBibTeX XMLCite \textit{H. Liu} and \textit{Y. Zhang}, J. Comput. Phys. 280, 37--53 (2015; Zbl 1349.76712) Full Text: DOI Link
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
Liu, Haihu; Valocchi, Albert J.; Zhang, Yonghao; Kang, Qinjun Lattice Boltzmann phase-field modeling of thermocapillary flows in a confined microchannel. (English) Zbl 1349.76711 J. Comput. Phys. 256, 334-356 (2014). MSC: 76M28 76D45 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Comput. Phys. 256, 334--356 (2014; Zbl 1349.76711) Full Text: DOI Link
Gudibande, Niranjan N.; Iyer, Kannan N. Modified enthalpy method for the simulation of melting and solidification. (English) Zbl 1322.80003 Sādhanā 38, No. 6, 1259-1285 (2013). MSC: 80A20 PDFBibTeX XMLCite \textit{N. N. Gudibande} and \textit{K. N. Iyer}, Sādhanā 38, No. 6, 1259--1285 (2013; Zbl 1322.80003) Full Text: DOI Link
Tang, Jia-Ning; Tseng, Chien-Chou; Wang, Ning-Fei Lagrangian-based investigation of multiphase flows by finite-time Lyapunov exponents. (English) Zbl 1345.76018 Acta Mech. Sin. 28, No. 3, 612-624 (2012). MSC: 76A99 PDFBibTeX XMLCite \textit{J.-N. Tang} et al., Acta Mech. Sin. 28, No. 3, 612--624 (2012; Zbl 1345.76018) Full Text: DOI
Kuan, Chih-Kuang; Sim, Jaeheon; Shyy, Wei Adaptive thermo-fluid moving boundary computations for interfacial dynamics. (English) Zbl 1293.76100 Acta Mech. Sin. 28, No. 4, 999-1021 (2012). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{C.-K. Kuan} et al., Acta Mech. Sin. 28, No. 4, 999--1021 (2012; Zbl 1293.76100) Full Text: DOI
Liu, Haihu; Zhang, Yonghao; Valocchi, Albert J. Modeling and simulation of thermocapillary flows using lattice Boltzmann method. (English) Zbl 1426.76607 J. Comput. Phys. 231, No. 12, 4433-4453 (2012). MSC: 76M28 76D45 80A20 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Comput. Phys. 231, No. 12, 4433--4453 (2012; Zbl 1426.76607) Full Text: DOI
Sim, Jaeheon; Shyy, Wei Interfacial flow computations using adaptive Eulerian – Lagrangian method for spacecraft applications. (English) Zbl 1426.76570 Int. J. Numer. Methods Fluids 68, No. 11, 1438-1456 (2012). MSC: 76M25 76T99 PDFBibTeX XMLCite \textit{J. Sim} and \textit{W. Shyy}, Int. J. Numer. Methods Fluids 68, No. 11, 1438--1456 (2012; Zbl 1426.76570) Full Text: DOI Link
Wei, Ying-Jie; Tseng, Chien-Chou; Wang, Guo-Yu Turbulence and cavitation models for time-dependent turbulent cavitating flows. (English) Zbl 1270.76026 Acta Mech. Sin. 27, No. 4, 473-487 (2011). MSC: 76F60 76M27 PDFBibTeX XMLCite \textit{Y.-J. Wei} et al., Acta Mech. Sin. 27, No. 4, 473--487 (2011; Zbl 1270.76026) Full Text: DOI
Milosevic, Hranislav; Stevovic, Svetlana; Petkovic, Dojcin Numerical simulation of interaction during the top blow in a steel-making converter. (English) Zbl 1227.80047 Int. J. Heat Mass Transfer 54, No. 19-20, 4275-4279 (2011). MSC: 80A25 80A32 76D05 76F60 76J20 76H05 76T10 35Q30 PDFBibTeX XMLCite \textit{H. Milosevic} et al., Int. J. Heat Mass Transfer 54, No. 19--20, 4275--4279 (2011; Zbl 1227.80047) Full Text: DOI
Zhu, Luoding; He, Guowei; Wang, Shizhao; Miller, Laura; Zhang, Xing; You, Qian; Fang, Shiaofen An immersed boundary method based on the lattice Boltzmann approach in three dimensions, with application. (English) Zbl 1225.76249 Comput. Math. Appl. 61, No. 12, 3506-3518 (2011). MSC: 76M28 65M75 74F10 PDFBibTeX XMLCite \textit{L. Zhu} et al., Comput. Math. Appl. 61, No. 12, 3506--3518 (2011; Zbl 1225.76249) Full Text: DOI Link
Chen, Jiann Lin Attitude dynamics of a cylinder floating in immiscible fluids. (English) Zbl 1269.70014 Acta Mech. Sin. 26, No. 3, 383-389 (2010). MSC: 70E99 76B70 PDFBibTeX XMLCite \textit{J. L. Chen}, Acta Mech. Sin. 26, No. 3, 383--389 (2010; Zbl 1269.70014) Full Text: DOI
Tseng, Chienchou; Wei, Yingjie; Wang, Guoyu; Shyy, Wei Modeling of turbulent, isothermal and cryogenic cavitation under attached conditions. (English) Zbl 1269.76121 Acta Mech. Sin. 26, No. 3, 325-353 (2010). MSC: 76T10 76F65 76-02 PDFBibTeX XMLCite \textit{C. Tseng} et al., Acta Mech. Sin. 26, No. 3, 325--353 (2010; Zbl 1269.76121) Full Text: DOI
Mariani, Viviana Cocco; Prata, Alvaro Toubes; Deschamps, Cesar Jose Numerical analysis of fluid flow through radial diffusers in the presence of a chamfer in the feeding orifice with a mixed Eulerian-Lagrangian method. (English) Zbl 1245.76017 Comput. Fluids 39, No. 9, 1672-1684 (2010). MSC: 76D05 76M12 PDFBibTeX XMLCite \textit{V. C. Mariani} et al., Comput. Fluids 39, No. 9, 1672--1684 (2010; Zbl 1245.76017) Full Text: DOI Link
Ji, Hua; Lien, Fue-Sang; Yee, Eugene Numerical simulation of detonation using an adaptive Cartesian cut-cell method combined with a cell-merging technique. (English) Zbl 1242.76168 Comput. Fluids 39, No. 6, 1041-1057 (2010). MSC: 76M12 76M20 76V05 76N15 PDFBibTeX XMLCite \textit{H. Ji} et al., Comput. Fluids 39, No. 6, 1041--1057 (2010; Zbl 1242.76168) 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
Lun, Lisa; Yeckel, Andrew; Derby, Jeffrey J. A Schur complement formulation for solving free-boundary, Stefan problems of phase change. (English) Zbl 1425.80010 J. Comput. Phys. 229, No. 20, 7942-7955 (2010). MSC: 80A22 80M25 PDFBibTeX XMLCite \textit{L. Lun} et al., J. Comput. Phys. 229, No. 20, 7942--7955 (2010; Zbl 1425.80010) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y.-F. Peng} et al., J. Comput. Phys. 229, No. 19, 7072--7101 (2010; Zbl 1425.76065) Full Text: DOI
Vanella, Marcos; Rabenold, Patrick; Balaras, Elias A direct-forcing embedded-boundary method with adaptive mesh refinement for fluid-structure interaction problems. (English) Zbl 1425.76174 J. Comput. Phys. 229, No. 18, 6427-6449 (2010). MSC: 76M20 74F10 65M50 76F65 PDFBibTeX XMLCite \textit{M. Vanella} et al., J. Comput. Phys. 229, No. 18, 6427--6449 (2010; Zbl 1425.76174) Full Text: DOI
Meyer, M.; Devesa, A.; Hickel, S.; Hu, X. Y.; Adams, N. A. A conservative immersed interface method for Large-Eddy Simulation of incompressible flows. (English) Zbl 1425.76064 J. Comput. Phys. 229, No. 18, 6300-6317 (2010). MSC: 76D05 76M25 76F65 PDFBibTeX XMLCite \textit{M. Meyer} et al., J. Comput. Phys. 229, No. 18, 6300--6317 (2010; Zbl 1425.76064) Full Text: DOI
Zhang, H. B.; Yan, Y. Y.; Zu, Y. Q. Numerical modelling of EHD effects on heat transfer and bubble shapes of nucleate boiling. (English) Zbl 1185.76928 Appl. Math. Modelling 34, No. 3, 626-638 (2010). MSC: 76W05 80A20 80M25 PDFBibTeX XMLCite \textit{H. B. Zhang} et al., Appl. Math. Modelling 34, No. 3, 626--638 (2010; Zbl 1185.76928) Full Text: DOI
Wu, J.; Shu, Chang; Zhang, Y. H. Simulation of incompressible viscous flows around moving objects by a variant of immersed boundary-lattice Boltzmann method. (English) Zbl 1377.76027 Int. J. Numer. Methods Fluids 62, No. 3, 327-354 (2010). MSC: 76M28 76D99 PDFBibTeX XMLCite \textit{J. Wu} et al., Int. J. Numer. Methods Fluids 62, No. 3, 327--354 (2010; Zbl 1377.76027) Full Text: DOI Link
Aono, Hikaru; Shyy, Wei; Liu, Hao Near wake vortex dynamics of a hovering hawkmoth. (English) Zbl 1270.76095 Acta Mech. Sin. 25, No. 1, 23-36 (2009). MSC: 76Z10 76D05 92C10 PDFBibTeX XMLCite \textit{H. Aono} et al., Acta Mech. Sin. 25, No. 1, 23--36 (2009; Zbl 1270.76095) Full Text: DOI
Ditkowski, Adi; Harness, Yuval High-order embedded finite difference schemes for initial boundary value problems on time dependent irregular domains. (English) Zbl 1203.65133 J. Sci. Comput. 39, No. 3, 394-440 (2009). MSC: 65M06 80A22 PDFBibTeX XMLCite \textit{A. Ditkowski} and \textit{Y. Harness}, J. Sci. Comput. 39, No. 3, 394--440 (2009; Zbl 1203.65133) Full Text: DOI Link
Vanella, Marcos; Balaras, Elias A moving-least-squares reconstruction for embedded-boundary formulations. (English) Zbl 1173.65333 J. Comput. Phys. 228, No. 18, 6617-6628 (2009). MSC: 65M06 PDFBibTeX XMLCite \textit{M. Vanella} and \textit{E. Balaras}, J. Comput. Phys. 228, No. 18, 6617--6628 (2009; Zbl 1173.65333) Full Text: DOI
Bachmann, Richard J.; Boria, Frank J.; Vaidyanathan, Ravi; Ifju, Peter G.; Quinn, Roger D. A biologically inspired micro-vehicle capable of aerial and terrestrial locomotion. (English) Zbl 1161.70302 Mech. Mach. Theory 44, No. 3, 513-526 (2009). MSC: 70B15 PDFBibTeX XMLCite \textit{R. J. Bachmann} et al., Mech. Mach. Theory 44, No. 3, 513--526 (2009; Zbl 1161.70302) Full Text: DOI Link
Ni, Guoxi; Jiang, Song; Xu, Kun Remapping-free ALE-type kinetic method for flow computations. (English) Zbl 1282.76155 J. Comput. Phys. 228, No. 8, 3154-3171 (2009). MSC: 76M28 65M06 76P05 76T10 35Q30 76M10 PDFBibTeX XMLCite \textit{G. Ni} et al., J. Comput. Phys. 228, No. 8, 3154--3171 (2009; Zbl 1282.76155) Full Text: DOI
Thömmes, G.; Becker, J.; Junk, M.; Vaikuntam, A. K.; Kehrwald, D.; Klar, A.; Steiner, K.; Wiegmann, A. A lattice Boltzmann method for immiscible multiphase flow simulations using the level set method. (English) Zbl 1169.76050 J. Comput. Phys. 228, No. 4, 1139-1156 (2009). MSC: 76M28 76M25 76T10 76D27 PDFBibTeX XMLCite \textit{G. Thömmes} et al., J. Comput. Phys. 228, No. 4, 1139--1156 (2009; Zbl 1169.76050) Full Text: DOI
Ji, Hua; Lien, Fue-Sang; Yee, Eugene A robust and efficient hybrid cut-cell/ghost-cell method with adaptive mesh refinement for moving boundaries on irregular domains. (English) Zbl 1228.76108 Comput. Methods Appl. Mech. Eng. 198, No. 3-4, 432-448 (2008). MSC: 76M25 76R99 PDFBibTeX XMLCite \textit{H. Ji} et al., Comput. Methods Appl. Mech. Eng. 198, No. 3--4, 432--448 (2008; Zbl 1228.76108) Full Text: DOI
Katz, Richard F.; Worster, M. Grae Simulation of directional solidification, thermochemical convection, and chimney formation in a Hele-Shaw cell. (English) Zbl 1317.80006 J. Comput. Phys. 227, No. 23, 9823-9840 (2008). MSC: 80A25 76D27 76R05 86A17 76E15 PDFBibTeX XMLCite \textit{R. F. Katz} and \textit{M. G. Worster}, J. Comput. Phys. 227, No. 23, 9823--9840 (2008; Zbl 1317.80006) Full Text: DOI
Mittal, R.; Dong, H.; Bozkurttas, M.; Najjar, F. M.; Vargas, A.; von Loebbecke, A. A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries. (English) Zbl 1388.76263 J. Comput. Phys. 227, No. 10, 4825-4852 (2008). MSC: 76M25 76D99 PDFBibTeX XMLCite \textit{R. Mittal} et al., J. Comput. Phys. 227, No. 10, 4825--4852 (2008; Zbl 1388.76263) Full Text: DOI Link
Berthelsen, Petter A.; Faltinsen, Odd M. A local directional ghost cell approach for incompressible viscous flow problems with irregular boundaries. (English) Zbl 1388.76199 J. Comput. Phys. 227, No. 9, 4354-4397 (2008). MSC: 76M20 65M06 65M50 76D05 PDFBibTeX XMLCite \textit{P. A. Berthelsen} and \textit{O. M. Faltinsen}, J. Comput. Phys. 227, No. 9, 4354--4397 (2008; Zbl 1388.76199) Full Text: DOI
Lin, Pengzhi A fixed-grid model for simulation of a moving body in free surface flows. (English) Zbl 1177.76260 Comput. Fluids 36, No. 3, 549-561 (2007). MSC: 76M20 74N25 76D27 PDFBibTeX XMLCite \textit{P. Lin}, Comput. Fluids 36, No. 3, 549--561 (2007; Zbl 1177.76260) Full Text: DOI
Li, Daming; Li, Ruo; Zhang, Pingwen A cellular automaton technique for modelling of a binary dendritic growth with convection. (English) Zbl 1241.76331 Appl. Math. Modelling 31, No. 6, 971-982 (2007). MSC: 76M25 80A22 80M25 76R99 PDFBibTeX XMLCite \textit{D. Li} et al., Appl. Math. Modelling 31, No. 6, 971--982 (2007; Zbl 1241.76331) Full Text: DOI
Jana, S.; Ray, S.; Durst, F. A numerical method to compute solidification and melting processes. (English) Zbl 1143.80006 Appl. Math. Modelling 31, No. 1, 93-119 (2007). Reviewer: Jerzy Gawinecki (Warszawa) MSC: 80A20 80A22 74S30 80A17 74N05 65C20 PDFBibTeX XMLCite \textit{S. Jana} et al., Appl. Math. Modelling 31, No. 1, 93--119 (2007; Zbl 1143.80006) 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
Ghias, R.; Mittal, R.; Dong, H. A sharp interface immersed boundary method for compressible viscous flows. (English) Zbl 1343.76043 J. Comput. Phys. 225, No. 1, 528-553 (2007). MSC: 76M25 76M20 76N99 PDFBibTeX XMLCite \textit{R. Ghias} et al., J. Comput. Phys. 225, No. 1, 528--553 (2007; Zbl 1343.76043) Full Text: DOI
Choi, Jung-Il; Oberoi, Roshan C.; Edwards, Jack R.; Rosati, Jacky A. An immersed boundary method for complex incompressible flows. (English) Zbl 1123.76351 J. Comput. Phys. 224, No. 2, 757-784 (2007). MSC: 76M25 76D05 76Z99 PDFBibTeX XMLCite \textit{J.-I. Choi} et al., J. Comput. Phys. 224, No. 2, 757--784 (2007; Zbl 1123.76351) Full Text: DOI
Singh, Rajkeshar; Shyy, Wei Three-dimensional adaptive Cartesian grid method with conservative interface restructuring and reconstruction. (English) Zbl 1248.76111 J. Comput. Phys. 224, No. 1, 150-167 (2007). MSC: 76M12 76D05 PDFBibTeX XMLCite \textit{R. Singh} and \textit{W. Shyy}, J. Comput. Phys. 224, No. 1, 150--167 (2007; Zbl 1248.76111) Full Text: DOI
Jin, Changqiu; Xu, Kun A unified moving grid gas-kinetic method in Eulerian space for viscous flow computation. (English) Zbl 1216.76046 J. Comput. Phys. 222, No. 1, 155-175 (2007). MSC: 76M25 65M06 76P05 PDFBibTeX XMLCite \textit{C. Jin} and \textit{K. Xu}, J. Comput. Phys. 222, No. 1, 155--175 (2007; Zbl 1216.76046) Full Text: DOI
Tan, Lijian; Zabaras, Nicholas A level set simulation of dendritic solidification of multi-component alloys. (English) Zbl 1216.80024 J. Comput. Phys. 221, No. 1, 9-40 (2007). MSC: 80M25 65M06 80A22 PDFBibTeX XMLCite \textit{L. Tan} and \textit{N. Zabaras}, J. Comput. Phys. 221, No. 1, 9--40 (2007; Zbl 1216.80024) Full Text: DOI
Šarler, B. Solution of a two-dimensional bubble shape in potential flow by the method of fundamental solutions. (English) Zbl 1195.76323 Eng. Anal. Bound. Elem. 30, No. 3, 227-235 (2006). MSC: 76M25 76B10 65N80 PDFBibTeX XMLCite \textit{B. Šarler}, Eng. Anal. Bound. Elem. 30, No. 3, 227--235 (2006; Zbl 1195.76323) Full Text: DOI
Zhao, P.; Heinrich, J. C.; Poirier, D. R. Numerical modeling of fluid-particle interactions. (English) Zbl 1123.76037 Comput. Methods Appl. Mech. Eng. 195, No. 41-43, 5780-5796 (2006). MSC: 76M10 76M20 76T99 PDFBibTeX XMLCite \textit{P. Zhao} et al., Comput. Methods Appl. Mech. Eng. 195, No. 41--43, 5780--5796 (2006; Zbl 1123.76037) Full Text: DOI
Chung, Meng-Hsuan Cartesian cut cell approach for simulating incompressible flows with rigid bodies of arbitrary shape. (English) Zbl 1160.76369 Comput. Fluids 35, No. 6, 607-623 (2006). MSC: 76M12 76D05 PDFBibTeX XMLCite \textit{M.-H. Chung}, Comput. Fluids 35, No. 6, 607--623 (2006; Zbl 1160.76369) 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
Perić, D.; Crook, A. J. L. Computational strategies for predictive geology with reference to salt tectonics. (English) Zbl 1112.74534 Comput. Methods Appl. Mech. Eng. 193, No. 48-51, 5195-5222 (2004). MSC: 74S05 74L05 74C15 74C20 PDFBibTeX XMLCite \textit{D. Perić} and \textit{A. J. L. Crook}, Comput. Methods Appl. Mech. Eng. 193, No. 48--51, 5195--5222 (2004; Zbl 1112.74534) Full Text: DOI
Luo, Haoxiang; Bewley, Thomas R. On the contravariant form of the Navier-Stokes equations in time-dependent curvilinear coordinate systems. (English) Zbl 1054.76019 J. Comput. Phys. 199, No. 1, 355-375 (2004). MSC: 76D05 76M20 PDFBibTeX XMLCite \textit{H. Luo} and \textit{T. R. Bewley}, J. Comput. Phys. 199, No. 1, 355--375 (2004; Zbl 1054.76019) Full Text: DOI
Ye, Tao; Shyy, Wei; Tai, Cheng-Feng; Chung, Jacob N. Assessment of sharp- and continuous-interface methods for drop in static equilibrium. (English) Zbl 1100.76543 Comput. Fluids 33, No. 7, 917-926 (2004). MSC: 76M12 76M25 76T10 PDFBibTeX XMLCite \textit{T. Ye} et al., Comput. Fluids 33, No. 7, 917--926 (2004; Zbl 1100.76543) 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
Marella, Saikrishna V.; Udaykumar, H. S. Computational analysis of the deformability of leukocytes modeled with viscous and elastic structural components. (English) Zbl 1186.76349 Phys. Fluids 16, No. 2, Paper No. 244, 21 p. (2003). MSC: 76-XX PDFBibTeX XMLCite \textit{S. V. Marella} and \textit{H. S. Udaykumar}, Phys. Fluids 16, No. 2, Paper No. 244, 21 p. (2003; Zbl 1186.76349) Full Text: DOI
Rabier, Sylvain; Medale, Marc Computation of free surface flows with a projection FEM in a moving mesh framework. (English) Zbl 1054.76052 Comput. Methods Appl. Mech. Eng. 192, No. 41-42, 4703-4721 (2003). MSC: 76M10 76D33 PDFBibTeX XMLCite \textit{S. Rabier} and \textit{M. Medale}, Comput. Methods Appl. Mech. Eng. 192, No. 41--42, 4703--4721 (2003; Zbl 1054.76052) Full Text: DOI
Udaykumar, H. S.; Tran, L.; Belk, D. M.; Vanden, K. J. An Eulerian method for computation of multimaterial impact with ENO shock-capturing and sharp interfaces. (English) Zbl 1047.76558 J. Comput. Phys. 186, No. 1, 136-177 (2003). MSC: 76M20 76N15 76L05 PDFBibTeX XMLCite \textit{H. S. Udaykumar} et al., J. Comput. Phys. 186, No. 1, 136--177 (2003; Zbl 1047.76558) Full Text: DOI
Kirkpatrick, M. P.; Armfield, S. W.; Kent, J. H. A representation of curved boundaries for the solution of the Navier-Stokes equations on a staggered three-dimensional Cartesian grid. (English) Zbl 1118.76350 J. Comput. Phys. 184, No. 1, 1-36 (2003). MSC: 76M28 76M25 76D05 PDFBibTeX XMLCite \textit{M. P. Kirkpatrick} et al., J. Comput. Phys. 184, No. 1, 1--36 (2003; Zbl 1118.76350) Full Text: DOI
Lee, Hyeong-Gi; Lowengrub, J. S.; Goodman, J. Modeling pinchoff and reconnection in a Hele-Shaw cell. II: Analysis and simulation in the nonlinear regime. (English) Zbl 1184.76317 Phys. Fluids 14, No. 2, Paper No. 514, 32 p. (2002). MSC: 76-XX PDFBibTeX XMLCite \textit{H.-G. Lee} et al., Phys. Fluids 14, No. 2, Paper No. 514, 32 p. (2002; Zbl 1184.76317) Full Text: DOI
Lee, Hyeong-Gi; Lowengrub, J. S.; Goodman, J. Modeling pinchoff and reconnection in a Hele-Shaw cell. I: The models and their calibration. (English) Zbl 1184.76316 Phys. Fluids 14, No. 2, Paper No. 492, 22 p. (2002). MSC: 76-XX PDFBibTeX XMLCite \textit{H.-G. Lee} et al., Phys. Fluids 14, No. 2, Paper No. 492, 22 p. (2002; Zbl 1184.76316) Full Text: DOI Link