Hilali, Youssef; Bourihane, Oussama Transition of thermally induced flow in a square cavity using an iterative predictor-corrector meshfree approach. (English) Zbl 07824578 ZAMM, Z. Angew. Math. Mech. 103, No. 3, Article ID e202200289, 22 p. (2023). MSC: 76Mxx 74Sxx 65Mxx PDFBibTeX XMLCite \textit{Y. Hilali} and \textit{O. Bourihane}, ZAMM, Z. Angew. Math. Mech. 103, No. 3, Article ID e202200289, 22 p. (2023; Zbl 07824578) Full Text: DOI
El-Amrani, Mofdi; Salhi, Loubna; Seaid, Mohammed A new Runge-Kutta-Chebyshev Galerkin-characteristic finite element method for advection-dispersion problems in anisotropic porous media. (English) Zbl 07703860 Math. Comput. Simul. 210, 184-206 (2023). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{M. El-Amrani} et al., Math. Comput. Simul. 210, 184--206 (2023; Zbl 07703860) Full Text: DOI
El-Amrani, Mofdi; Salhi, Loubna; Seaid, Mohammed; Yakoubi, Driss An iterative scheme for solving a coupled Darcy-convection-diffusion model. (English) Zbl 1502.65263 J. Math. Anal. Appl. 517, No. 2, Article ID 126603, 24 p. (2023). MSC: 65N99 47J26 35K05 76S05 76R50 35Q35 PDFBibTeX XMLCite \textit{M. El-Amrani} et al., J. Math. Anal. Appl. 517, No. 2, Article ID 126603, 24 p. (2023; Zbl 1502.65263) Full Text: DOI
Koltai, Péter; Weiss, Stephan Diffusion maps embedding and transition matrix analysis of the large-scale flow structure in turbulent Rayleigh-Bénard convection. (English) Zbl 1439.58021 Nonlinearity 33, No. 4, 1723-1756 (2020). MSC: 58J65 60J60 60J70 62M05 62M15 76R10 76F35 PDFBibTeX XMLCite \textit{P. Koltai} and \textit{S. Weiss}, Nonlinearity 33, No. 4, 1723--1756 (2020; Zbl 1439.58021) Full Text: DOI arXiv
Dib, Dayana; Dib, Séréna; Sayah, Toni New numerical studies for Darcy’s problem coupled with the heat equation. (English) Zbl 1449.35349 Comput. Appl. Math. 39, No. 1, Paper No. 1, 16 p. (2020). MSC: 35Q35 74S05 76M10 65Z05 PDFBibTeX XMLCite \textit{D. Dib} et al., Comput. Appl. Math. 39, No. 1, Paper No. 1, 16 p. (2020; Zbl 1449.35349) Full Text: DOI
Chalhoub, Nancy; Omnes, Pascal; Sayah, Toni; El Zahlaniyeh, Rebecca Full discretization of time dependent convection-diffusion-reaction equation coupled with the Darcy system. (English) Zbl 1431.76122 Calcolo 57, No. 1, Paper No. 4, 28 p. (2020). MSC: 76S05 76M10 65M60 35K05 65N15 PDFBibTeX XMLCite \textit{N. Chalhoub} et al., Calcolo 57, No. 1, Paper No. 4, 28 p. (2020; Zbl 1431.76122) Full Text: DOI
Shi, Yang; Wei, Jiahua; Li, Shaowu; Song, Peng; Zhang, Bangwen A meshless WCSPH boundary treatment for open-channel flow over small-scale rough bed. (English) Zbl 1435.76058 Math. Probl. Eng. 2019, Article ID 1573049, 17 p. (2019). MSC: 76M28 65L60 76F65 PDFBibTeX XMLCite \textit{Y. Shi} et al., Math. Probl. Eng. 2019, Article ID 1573049, 17 p. (2019; Zbl 1435.76058) Full Text: DOI
Sakran, M. R. A. Numerical solutions of integral and integro-differential equations using Chebyshev polynomials of the third kind. (English) Zbl 1429.65148 Appl. Math. Comput. 351, 66-82 (2019). MSC: 65L05 45D05 45J05 65R20 PDFBibTeX XMLCite \textit{M. R. A. Sakran}, Appl. Math. Comput. 351, 66--82 (2019; Zbl 1429.65148) Full Text: DOI
Ganguli, Swetava; Lele, Sanjiva K. Drag of a heated sphere at low Reynolds numbers in the absence of buoyancy. (English) Zbl 1415.76679 J. Fluid Mech. 869, 264-291 (2019). MSC: 76T20 80A20 76D25 PDFBibTeX XMLCite \textit{S. Ganguli} and \textit{S. K. Lele}, J. Fluid Mech. 869, 264--291 (2019; Zbl 1415.76679) Full Text: DOI arXiv
Corli, Andrea; Passerini, Arianna The Bénard problem for slightly compressible materials: existence and linear instability. (English) Zbl 1409.76134 Mediterr. J. Math. 16, No. 1, Paper No. 18, 24 p. (2019). MSC: 76R10 76D07 76E06 PDFBibTeX XMLCite \textit{A. Corli} and \textit{A. Passerini}, Mediterr. J. Math. 16, No. 1, Paper No. 18, 24 p. (2019; Zbl 1409.76134) Full Text: DOI
Ceretani, Andrea N.; Rautenberg, Carlos N. The Boussinesq system with mixed non-smooth boundary conditions and do-nothing boundary flow. (English) Zbl 1409.76022 Z. Angew. Math. Phys. 70, No. 1, Paper No. 14, 24 p. (2019). MSC: 76D05 80A20 35Q35 PDFBibTeX XMLCite \textit{A. N. Ceretani} and \textit{C. N. Rautenberg}, Z. Angew. Math. Phys. 70, No. 1, Paper No. 14, 24 p. (2019; Zbl 1409.76022) Full Text: DOI
Burkow, M.; Griebel, M. Numerical simulation of the temporal evolution of a three dimensional barchanoid dune and the corresponding sediment dynamics. (English) Zbl 1390.76050 Comput. Fluids 166, 275-285 (2018). MSC: 76D05 76M20 76T20 76T25 PDFBibTeX XMLCite \textit{M. Burkow} and \textit{M. Griebel}, Comput. Fluids 166, 275--285 (2018; Zbl 1390.76050) Full Text: DOI
Sudarsanam, Senbagaraman; Tallapragada, Phanindra Global stability of trajectories of inertial particles within domains of instability. (English) Zbl 1473.76033 Commun. Nonlinear Sci. Numer. Simul. 42, 313-323 (2017). MSC: 76E99 37N10 76T20 PDFBibTeX XMLCite \textit{S. Sudarsanam} and \textit{P. Tallapragada}, Commun. Nonlinear Sci. Numer. Simul. 42, 313--323 (2017; Zbl 1473.76033) Full Text: DOI
Schneider, Nicolas; Gauthier, Serge Vorticity and mixing in Rayleigh-Taylor Boussinesq turbulence. (English) Zbl 1462.76097 J. Fluid Mech. 802, 395-436 (2016). MSC: 76F25 PDFBibTeX XMLCite \textit{N. Schneider} and \textit{S. Gauthier}, J. Fluid Mech. 802, 395--436 (2016; Zbl 1462.76097) Full Text: DOI
Wei, Ping; Ahlers, Guenter On the nature of fluctuations in turbulent Rayleigh-Bénard convection at large Prandtl numbers. (English) Zbl 1462.76174 J. Fluid Mech. 802, 203-244 (2016). MSC: 76R05 76F35 PDFBibTeX XMLCite \textit{P. Wei} and \textit{G. Ahlers}, J. Fluid Mech. 802, 203--244 (2016; Zbl 1462.76174) Full Text: DOI
Kagei, Yoshiyuki; Růžička, Michael The Oberbeck-Boussinesq approximation as a constitutive limit. (English) Zbl 1355.76055 Contin. Mech. Thermodyn. 28, No. 5, 1411-1419 (2016). MSC: 76Nxx PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{M. Růžička}, Contin. Mech. Thermodyn. 28, No. 5, 1411--1419 (2016; Zbl 1355.76055) Full Text: DOI arXiv
He, Xiaozhou; Bodenschatz, Eberhard; Ahlers, Guenter Azimuthal diffusion of the large-scale-circulation plane, and absence of significant non-Boussinesq effects, in turbulent convection near the ultimate-state transition. (English) Zbl 1382.76122 J. Fluid Mech. 791, Paper No. R3, 13 p. (2016). MSC: 76F35 76R05 PDFBibTeX XMLCite \textit{X. He} et al., J. Fluid Mech. 791, Paper No. R3, 13 p. (2016; Zbl 1382.76122) Full Text: DOI arXiv
Guzman, Daniela Narezo; Xie, Yanbo; Chen, Songyue; Rivas, David Fernandez; Sun, Chao; Lohse, Detlef; Ahlers, Guenter Heat-flux enhancement by vapour-bubble nucleation in Rayleigh-Bénard turbulence. (English) Zbl 1359.76137 J. Fluid Mech. 787, 331-366 (2016). MSC: 76F35 76R05 PDFBibTeX XMLCite \textit{D. N. Guzman} et al., J. Fluid Mech. 787, 331--366 (2016; Zbl 1359.76137) Full Text: DOI
Rajagopal, K. R. Modeling bodies that can only undergo isochoric motions subject to mechanical stimuli but are compressible or expansible with respect to thermal stimuli. (English) Zbl 1278.76008 Z. Angew. Math. Phys. 64, No. 3, 885-894 (2013); erratum ibid. 64, No. 5, 1609 (2013). MSC: 76A02 74A20 PDFBibTeX XMLCite \textit{K. R. Rajagopal}, Z. Angew. Math. Phys. 64, No. 3, 885--894 (2013; Zbl 1278.76008) Full Text: DOI
Strutt, H. C.; Tullis, S. W.; Lightstone, M. F. Numerical methods for particle-laden DNS of homogeneous isotropic turbulence. (English) Zbl 1245.76039 Comput. Fluids 40, No. 1, 210-220 (2011). MSC: 76F65 76T20 76F05 PDFBibTeX XMLCite \textit{H. C. Strutt} et al., Comput. Fluids 40, No. 1, 210--220 (2011; Zbl 1245.76039) Full Text: DOI
Rajagopal, K. R.; Saccomandi, G.; Vergori, L. Stability analysis of Rayleigh–Bénard convection in a porous medium. (English) Zbl 1253.76041 Z. Angew. Math. Phys. 62, No. 1, 149-160 (2011). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 76E06 76E30 76S05 76R10 35Q35 PDFBibTeX XMLCite \textit{K. R. Rajagopal} et al., Z. Angew. Math. Phys. 62, No. 1, 149--160 (2011; Zbl 1253.76041) Full Text: DOI
Arkeryd, L.; Esposito, R.; Marra, R.; Nouri, A. Stability for Rayleigh-Benard convective solutions of the Boltzmann equation. (English) Zbl 1333.35150 Arch. Ration. Mech. Anal. 198, No. 1, 125-187 (2010). MSC: 35Q20 35B10 35Q35 76P05 82C40 PDFBibTeX XMLCite \textit{L. Arkeryd} et al., Arch. Ration. Mech. Anal. 198, No. 1, 125--187 (2010; Zbl 1333.35150) Full Text: DOI arXiv
Rajagopal, K. R.; Saccomandi, G.; Vergori, L. A systematic approximation for the equations governing convection-diffusion in a porous medium. (English) Zbl 1194.35336 Nonlinear Anal., Real World Appl. 11, No. 4, 2366-2375 (2010). MSC: 35Q35 76S05 35A35 80A20 PDFBibTeX XMLCite \textit{K. R. Rajagopal} et al., Nonlinear Anal., Real World Appl. 11, No. 4, 2366--2375 (2010; Zbl 1194.35336) Full Text: DOI
Varol, Yasin; Oztop, Hakan F.; Mobedi, Moghtada; Pop, Ioan Visualization of heat flow using Bejan’s heatline due to natural convection of water near 4 \(^\circ \)C in thick walled porous cavity. (English) Zbl 1190.80033 Int. J. Heat Mass Transfer 53, No. 9-10, 1691-1698 (2010). MSC: 80A20 76R10 80M20 76M20 PDFBibTeX XMLCite \textit{Y. Varol} et al., Int. J. Heat Mass Transfer 53, No. 9--10, 1691--1698 (2010; Zbl 1190.80033) Full Text: DOI
Nishida, Takaaki; Teramoto, Yoshiaki Pattern formations in heat convection problems. (English) Zbl 1183.65128 Chin. Ann. Math., Ser. B 30, No. 6, 769-784 (2009). Reviewer: Marius Ghergu (Dublin) MSC: 65M70 35Q30 80A20 35B32 68T15 35K15 PDFBibTeX XMLCite \textit{T. Nishida} and \textit{Y. Teramoto}, Chin. Ann. Math., Ser. B 30, No. 6, 769--784 (2009; Zbl 1183.65128) Full Text: DOI
Barletta, A. Local energy balance, specific heats and the Oberbeck-Boussinesq approximation. (English) Zbl 1255.76128 Int. J. Heat Mass Transfer 52, No. 21-22, 5266-5270 (2009). MSC: 76S05 76R10 80A20 76R05 35Q30 PDFBibTeX XMLCite \textit{A. Barletta}, Int. J. Heat Mass Transfer 52, No. 21--22, 5266--5270 (2009; Zbl 1255.76128) Full Text: DOI arXiv
Rajagopal, K. R.; Saccomandi, G.; Vergori, L. On the Oberbeck-Boussinesq approximation for fluids with pressure dependent viscosities. (English) Zbl 1167.76368 Nonlinear Anal., Real World Appl. 10, No. 2, 1139-1150 (2009). MSC: 76R50 35Q35 76A05 PDFBibTeX XMLCite \textit{K. R. Rajagopal} et al., Nonlinear Anal., Real World Appl. 10, No. 2, 1139--1150 (2009; Zbl 1167.76368) Full Text: DOI
Barletta, A.; Nield, D. A. Effect of pressure work and viscous dissipation in the analysis of the Rayleigh-Bénard problem. (English) Zbl 1167.80313 Int. J. Heat Mass Transfer 52, No. 13-14, 3279-3289 (2009). MSC: 80A20 76R10 76E15 PDFBibTeX XMLCite \textit{A. Barletta} and \textit{D. A. Nield}, Int. J. Heat Mass Transfer 52, No. 13--14, 3279--3289 (2009; Zbl 1167.80313) Full Text: DOI
Attaoui, A. On the coupling between a Navier-Stokes equation and a total energy equation in spatial dimension \(N=3\). (English) Zbl 1170.35505 J. Differ. Equations 246, No. 12, 4591-4617 (2009). MSC: 35Q53 35B45 35A35 PDFBibTeX XMLCite \textit{A. Attaoui}, J. Differ. Equations 246, No. 12, 4591--4617 (2009; Zbl 1170.35505) Full Text: DOI
O’Donnell, B. J.; Helenbrook, B. T. Proper orthogonal decomposition and incompressible flow: an application to particle modeling. (English) Zbl 1194.76135 Comput. Fluids 36, No. 7, 1174-1186 (2007). MSC: 76M10 76D05 76T20 PDFBibTeX XMLCite \textit{B. J. O'Donnell} and \textit{B. T. Helenbrook}, Comput. Fluids 36, No. 7, 1174--1186 (2007; Zbl 1194.76135) Full Text: DOI
Marušić, Sanja Natural convection in shallow water. (English) Zbl 1129.76049 Nonlinear Anal., Real World Appl. 8, No. 5, 1379-1389 (2007). MSC: 76R10 80A20 86A05 PDFBibTeX XMLCite \textit{S. Marušić}, Nonlinear Anal., Real World Appl. 8, No. 5, 1379--1389 (2007; Zbl 1129.76049) Full Text: DOI
Khater, A. H.; Shamardan, A. B.; Callebaut, D. K.; Sakran, M. R. A. Numerical solutions of integral and integro-differential equations using Legendre polynomials. (English) Zbl 1131.65111 Numer. Algorithms 46, No. 3, 195-218 (2007). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45J05 45D05 45G05 45M05 45E10 PDFBibTeX XMLCite \textit{A. H. Khater} et al., Numer. Algorithms 46, No. 3, 195--218 (2007; Zbl 1131.65111) Full Text: DOI
Skhram, Y. M.; Yakimenko, I. P. Hydrodynamic theory of Brownian motion in a compressible fluid. (Russian) Zbl 1072.76667 Prykl. Gidromekh. 1(73), No. 2, 53-63 (1999). Reviewer: I. T. Selezov (Kyïv) MSC: 76R50 76M35 76M45 76N15 PDFBibTeX XMLCite \textit{Y. M. Skhram} and \textit{I. P. Yakimenko}, Prykl. Gidromekh. 1(73), No. 2, 53--63 (1999; Zbl 1072.76667)
Diaz, J. I.; Galiano, G. On the Boussinesq system with nonlinear thermal diffusion. (English) Zbl 0897.35065 Nonlinear Anal., Theory Methods Appl. 30, No. 6, 3255-3263 (1997). Reviewer: C.Corduneanu (Arlington) MSC: 35Q35 76D05 80A20 PDFBibTeX XMLCite \textit{J. I. Diaz} and \textit{G. Galiano}, Nonlinear Anal., Theory Methods Appl. 30, No. 6, 3255--3263 (1997; Zbl 0897.35065) Full Text: DOI
Liu, Y.; Phan-Thien, N.; Kemp, R. Coupled conduction-convection problem for a cylinder in an enclosure. (English) Zbl 0896.76087 Comput. Mech. 18, No. 6, 429-443 (1996). Reviewer: I.Pop (Cluj-Napoca) MSC: 76R10 76M10 80A20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Mech. 18, No. 6, 429--443 (1996; Zbl 0896.76087) Full Text: DOI
Bernardi, Christine; Métivet, Brigitte; Pernaud-Thomas, Bernadette Coupling the Navier-Stokes equation with the heat equation: The model and its approximation by finite elements. (Couplage des équations de Navier-Stokes et de la chaleur: Le modèle et son approximation par éléments finis.) (French) Zbl 0839.76016 RAIRO, Modélisation Math. Anal. Numér. 29, No. 7, 871-921 (1995). MSC: 76D05 76M10 35K05 35Q30 PDFBibTeX XMLCite \textit{C. Bernardi} et al., RAIRO, Modélisation Math. Anal. Numér. 29, No. 7, 871--921 (1995; Zbl 0839.76016) Full Text: DOI EuDML
Bodenschatz, Eberhard; Cannell, David S.; de Bruyn, John R.; Ecke, Robert; Hu, Yu-Chou; Lerman, Kristina; Ahlers, Guenter Experiments on three systems with non-variational aspects. (English) Zbl 0800.76008 Physica D 61, No. 1-4, 77-93 (1992). MSC: 76-05 76R10 PDFBibTeX XMLCite \textit{E. Bodenschatz} et al., Physica D 61, No. 1--4, 77--93 (1992; Zbl 0800.76008) Full Text: DOI
Vadasz, P.; Braester, C. The effect of imperfectly insulated sidewalls on natural convection in porous media. (English) Zbl 0743.76072 Acta Mech. 91, No. 3-4, 215-233 (1992). MSC: 76R10 76S05 80A20 PDFBibTeX XMLCite \textit{P. Vadasz} and \textit{C. Braester}, Acta Mech. 91, No. 3--4, 215--233 (1992; Zbl 0743.76072) Full Text: DOI
Brunner, H.; Tang, T. Polynomial spline collocation methods for the nonlinear Basset equation. (English) Zbl 0687.65130 Comput. Math. Appl. 18, No. 5, 449-457 (1989). Reviewer: P.Maaß MSC: 65R20 45G05 45J05 76H05 PDFBibTeX XMLCite \textit{H. Brunner} and \textit{T. Tang}, Comput. Math. Appl. 18, No. 5, 449--457 (1989; Zbl 0687.65130) Full Text: DOI
Chan, Kwing L.; Wolff, Charles L. ADI on staggered mesh. A method for the calculation of compressible convection. (English) Zbl 0492.76084 J. Comput. Phys. 47, 109-129 (1982). MSC: 76R05 76M99 76A10 85A30 PDFBibTeX XMLCite \textit{K. L. Chan} and \textit{C. L. Wolff}, J. Comput. Phys. 47, 109--129 (1982; Zbl 0492.76084) Full Text: DOI
Fraser, C. Benard instabilities in polar fluids. (English) Zbl 0476.76045 Z. Angew. Math. Phys. 32, 695-709 (1981). MSC: 76E15 76A99 74A35 PDFBibTeX XMLCite \textit{C. Fraser}, Z. Angew. Math. Phys. 32, 695--709 (1981; Zbl 0476.76045) Full Text: DOI