Relevant bibliographies by topics / Convection mathematics

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  2. Dissertations / Theses
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Academic literature on the topic 'Convection mathematics'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

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Journal articles on the topic "Convection mathematics"

1

Afanas'eva, Nadyezhda M., Alexander G. Churbanov, and Petr N. Vabishchevich. "Unconditionally Monotone Schemes for Unsteady Convection-Diffusion Problems." Computational Methods in Applied Mathematics 13, no. 2 (April 1, 2013): 185–205. http://dx.doi.org/10.1515/cmam-2013-0002.

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Abstract. This paper deals with constructing monotone schemes of the second-order accuracy in space for transient convection-diffusion problems. They are based on a reformulation of the convective and diffusive transport terms using the convective terms in the divergent and nondivergent forms. The stability of the difference schemes is established in the uniform and L1 norm. For 2D problems, unconditionally monotone schemes of splitting with respect to spatial variables are developed. Unconditionally stable schemes for problems of convection-diffusion-reaction are proposed, too.
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LAROZE, D., J. MARTÍNEZ-MARDONES, and C. PÉREZ-GARCIA. "ROTATING CONVECTION IN A BINARY VISCOELASTIC LIQUID MIXTURE." International Journal of Bifurcation and Chaos 15, no. 10 (October 2005): 3329–36. http://dx.doi.org/10.1142/s0218127405013927.

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In this work we report theoretical and numerical results on convection in a viscoelastic binary mixture under rotation. Instability thresholds for stationary convection are calculated. We obtain explicit expressions of convective thresholds in terms of the control parameters of the system for oscillatory convection. Finally, we analyze the stabilizing effect of rotation on instability thresholds for aqueous DNA suspensions.
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Vabishchevich, Petr N. "Iterative Methods for Solving Convection-diffusion Problem." Computational Methods in Applied Mathematics 2, no. 4 (2002): 410–44. http://dx.doi.org/10.2478/cmam-2002-0023.

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AbstractTo obtain an approximate solution of the steady-state convectiondiffusion problem, it is necessary to solve the corresponding system of linear algebraic equations. The basic peculiarity of these LA systems is connected with the fact that they have non-symmetric matrices. We discuss the questions of approximate solution of 2D convection-diffusion problems on the basis of two- and three-level iterative methods. The general theory of iterative methods of solving grid equations is used to present the material of the paper. The basic problems of constructing grid approximations for steady-state convection-diffusion problems are considered. We start with the consideration of the Dirichlet problem for the differential equation with a convective term in the divergent, nondivergent, and skew-symmetric forms. Next, the corresponding grid problems are constructed. And, finally, iterative methods are used to solve approximately the above grid problems. Primary consideration is given to the study of the dependence of the number of iteration on the Peclet number, which is the ratio of the convective transport to the diffusive one.
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LIND, PEDRO G., SVEN TITZ, TILL KUHLBRODT, JOÃO A. M. CORTE-REAL, JÜRGEN KURTHS, JASON A. C. GALLAS, and ULRIKE FEUDEL. "COUPLED BISTABLE MAPS: A TOOL TO STUDY CONVECTION PARAMETERIZATION IN OCEAN MODELS." International Journal of Bifurcation and Chaos 14, no. 03 (March 2004): 999–1015. http://dx.doi.org/10.1142/s0218127404009648.

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We present a study of ocean convection parameterization based on a novel approach which includes both eddy diffusion and advection and consists of a two-dimensional lattice of bistable maps. This approach retains important features of usual grid models and allows to assess the relative roles of diffusion and advection in the spreading of convective cells. For large diffusion our model exhibits a phase transition from convective patterns to a homogeneous state over the entire lattice. In hysteresis experiments we find staircase behavior depending on stability thresholds of local convection patterns. This nonphysical behavior is suspected to induce spurious abrupt changes in the spreading of convection in ocean models. The final steady state of convective cells depends not only on the magnitude of the advective velocity but also on its direction, implying a possible bias in the development of convective patterns. Such bias points to the need for an appropriate choice of grid geometry in ocean modeling.
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Hewitt, D. R. "Vigorous convection in porous media." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2239 (July 2020): 20200111. http://dx.doi.org/10.1098/rspa.2020.0111.

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The problem of convection in a fluid-saturated porous medium is reviewed with a focus on ‘vigorous’ convective flow, when the driving buoyancy forces are large relative to any dissipative forces in the system. This limit of strong convection is applicable in numerous settings in geophysics and beyond, including geothermal circulation, thermohaline mixing in the subsurface and heat transport through the lithosphere. Its manifestations range from ‘black smoker’ chimneys at mid-ocean ridges to salt-desert patterns to astrological plumes, and it has received a great deal of recent attention because of its important role in the long-term stability of geologically sequestered CO 2 . In this review, the basic mathematical framework for convection in porous media governed by Darcy’s Law is outlined, and its validity and limitations discussed. The main focus of the review is split between ‘two-sided’ and ‘one-sided’ systems: the former mimics the classical Rayleigh–Bénard set-up of a cell heated from below and cooled from above, allowing for detailed examination of convective dynamics and fluxes; the latter involves convection from one boundary only, which evolves in time through a series of regimes. Both set-ups are reviewed, accounting for theoretical, numerical and experimental studies in each case, and studies that incorporate additional physical effects are discussed. Future research in this area and various associated modelling challenges are also discussed.
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MARTÍNEZ-MARDONES, J., R. TIEMANN, W. ZELLER, and C. PÉREZ-GARCÍA. "AMPLITUDE EQUATION IN POLYMERIC FLUID CONVECTION." International Journal of Bifurcation and Chaos 04, no. 05 (October 1994): 1347–51. http://dx.doi.org/10.1142/s0218127494001052.

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The convective instabilities in viscoelastic polymeric Oldroyd-B models are studied. First, the nonlinear analysis of the stationary and oscillatory convection is carried out. Then, in the scope of weak nonlinear analysis, the coefficients of the amplitude equations are evaluated, in order to be in condition to estimate the possible behavior of stationary patterns and also travelling and standing waves. The values of these coefficients are determined by means of analytical and numerical techniques for convection in polymeric fluids.
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Dalík, Josef, and Helena Růžičková. "An explicit modified method of characteristics for the one-dimensional nonstationary convection-diffusion problem with dominating convection." Applications of Mathematics 40, no. 5 (1995): 367–80. http://dx.doi.org/10.21136/am.1995.134300.

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Cawood, M. E., V. J. Ervin, W. J. Layton, and J. M. Maubach. "Adaptive defect correction methods for convection dominated, convection diffusion problems." Journal of Computational and Applied Mathematics 116, no. 1 (April 2000): 1–21. http://dx.doi.org/10.1016/s0377-0427(99)00278-2.

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De l’Isle, François, and Robert G. Owens. "Superconsistent collocation methods with applications to convection-dominated convection–diffusion equations." Journal of Computational and Applied Mathematics 391 (August 2021): 113367. http://dx.doi.org/10.1016/j.cam.2020.113367.

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Loper, David E., and Paul H. Roberts. "Mush-Chimney Convection." Studies in Applied Mathematics 106, no. 2 (February 2001): 187–227. http://dx.doi.org/10.1111/1467-9590.00165.

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Dissertations / Theses on the topic "Convection mathematics"

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Wu, Gang 1962 June 18. "An introduction to dendritic growth with convection /." Thesis, McGill University, 1991. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=60665.

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In this thesis I intend to summarize several theories dealing with dendritic growth with convection. I have also looked into a special case where the convection motion is induced by the density change in phase transition. In terms of a small parameter $ alpha$, measuring the relating density change, the second order approximate solution is obtained by using regular perturbation method.
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Worthing, Rodney A. (Rodney Alan). "Contributions to the variational theory of convection." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/10577.

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Wang, Ping. "Thermal convection in slender laterally-heated cavities." Thesis, City University London, 1992. http://openaccess.city.ac.uk/7995/.

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Two-dimensional convective flows in shallow and tall cavities with adiabatic or conducting horizontal boundaries and driven by differential heating of the two vertical end walls, are studied numerically over a range of Rayleigh numbers and Prandtl numbers. As the Rayleigh number increases, nonlinearity first affects the flow structure in the turning regions near the ends of the cavity. These `end-zone problems' have been investigated by a combined computational and analytical approach. Numerical solutions are found using a DuFort-Frankel-Multigrid method, and appear to be in good agreement with theoretical predictions of a boundary-layer structure at high values of the Rayleigh number. For time-dependent shallow cavity flows, new theoretical solutions and numerical solutions are obtained by both analytical and computational methods. A numerical scheme for finding thermal convective flows in a finite laterally heated cavity is described in detail in Chapter 2. The end-zone problems for tall cavities with conducting and adiabatic horizontal boundaries are considered in Chapters 3 and 4 respectively. For shallow cavities, the end-zone problems for these two thermal boundary conditions are considered in Chapters 5 and 6. Finally, timedependent shallow cavity flows for insulated horizontal boundaries are investigated using both analytical and computational methods in Chapter 7.
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Tang, Kit Yee. "Double-diffusive convection in a vertical slot." Thesis, City University London, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.300697.

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Tracey, John. "Stability analyses of multi-component convection-diffusion problems." Thesis, University of Glasgow, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.360157.

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Acomb, Simon. "Applications of nonlinear dynamics to time dependent thermal convection." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305477.

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Chan, Wing-Le. "Radiative transfer and cellular convection in a model atmosphere." Thesis, Imperial College London, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.243362.

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Hill, Adrian T. "Attractors for convection-diffusion equations and their numerical approximation." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.314907.

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Sivapragasam, Valerie. "Finite-amplitude patterns of convection near a lateral boundary." Thesis, City University London, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.283253.

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Chiang, Weng Cheng Venus. "High-order finite difference methods for solving convection diffusion equations." Thesis, University of Macau, 2008. http://umaclib3.umac.mo/record=b1807119.

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Books on the topic "Convection mathematics"

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G, Velarde Manuel, and Colinet P, eds. Interfacial phenomena and convection. Boca Raton: Chapman & Hall/CRC, 2002.

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Gershuni, G. Z. Thermal vibrational convection. Chichester: John Wiley & Sons, 1998.

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Gilding, Brian H. Travelling Waves in Nonlinear Diffusion-Convection Reaction. Basel: Birkhäuser Basel, 2004.

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1951-, Simanovskii Ilya B., and Legros, J. C. (Jean Claude), 1942-, eds. Interfacial convection in multilayer systems. New York: Springer, 2012.

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5

Nield, Donald A. Convection in Porous Media. 4th ed. New York, NY: Springer New York, 2013.

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6

A, Ebadian M., and American Society of Mechanical Engineers. Heat Transfer Division., eds. Fundamentals of forced and mixed convection and transport phenomena. New York: ASME, 1991.

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Lidia, Palese, ed. Stability criteria for fluid flows. New Jersey: World Scientific, 2009.

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Georgescu, Adelina. Stability criteria for fluid flows. New Jersey: World Scientific, 2009.

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National Heat Transfer Conference (28th 1992 San Diego, Calif.). Natural convection in enclosures, 1992: Presented at the 28th National Heat Transfer Conference and Exhibition, San Diego, California, August 9-12, 1992. New York, N.Y: American Society of Mechanical Engineers, 1992.

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Roos, Hans-Görg. Numerical methods for singularly perturbed differential equations: Convection-diffusion and flow problems. Berlin: Springer-Verlag, 1996.

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Book chapters on the topic "Convection mathematics"

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Neu, John. "Convection." In Graduate Studies in Mathematics, 3–30. Providence, Rhode Island: American Mathematical Society, 2009. http://dx.doi.org/10.1090/gsm/109/01.

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Fowler, Andrew. "Mantle Convection." In Interdisciplinary Applied Mathematics, 463–538. London: Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-721-1_8.

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Straughan, Brian. "Convection with Protruding Baffles." In Advances in Mechanics and Mathematics, 155–60. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-13530-4_11.

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Straughan, Brian. "Resonance in Thermal Convection." In Advances in Mechanics and Mathematics, 205–35. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-13530-4_14.

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Straughan, Brian. "Thermal Convection in Nanofluids." In Advances in Mechanics and Mathematics, 237–80. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-13530-4_15.

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Straughan, Brian. "Thermal Convection with LTNE." In Advances in Mechanics and Mathematics, 49–68. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-13530-4_2.

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Straughan, Brian. "Rotating Convection with LTNE." In Advances in Mechanics and Mathematics, 69–78. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-13530-4_3.

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Straughan, Brian. "Penetrative Convection with LTNE." In Advances in Mechanics and Mathematics, 95–102. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-13530-4_6.

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Straughan, Brian. "Vertical Porous Convection with LTNE." In Advances in Mechanics and Mathematics, 87–93. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-13530-4_5.

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Straughan, Brian. "Double Diffusive Convection with LTNE." In Advances in Mechanics and Mathematics, 79–86. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-13530-4_4.

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Conference papers on the topic "Convection mathematics"

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Rani, H. P. "Unsteady Natural Convection Micropolar Flow over Vertical Cylinder." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2991059.

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Mahmood, Mohammed Shuker, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Relaxation Characteristics Mixed Algorithm for Nonlinear Convection-Diffusion Problems." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790152.

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Dugnol, B., C. Fernández, G. Galiano, and J. Velasco. "Evolution Nonlinear Diffusion‐Convection PDE Models for Spectrogram Enhancement." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990882.

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Ruas, V., A. C. P. Brasil Junior, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "A Stable Explicit Method for Time-Dependent Convection-Diffusion Problems." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790184.

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Rocha, E. M., M. M. Rodrigues, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "The Speed of Reaction-Diffusion-Convection Wavefronts in Nonuniform Media." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790236.

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Khalghani, Abbas, and Mohammad Hassan Rahimian. "Effect of Air Passages on Natural Convection in Electronic Enclosures." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2991036.

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Karaoğlu, Onur, and Galip Oturanç. "A study on Marangoni convection by the variational iteration method." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756149.

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Feng, Qinghua, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Parallel AGE Method for Solving Convection-Diffusion Equation." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241423.

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Brandner, Marek, and Petr Knobloch. "Some remarks concerning stabilization techniques for convection-diffusion problems." In Programs and Algorithms of Numerical Mathematics 19. Institute of Mathematics, Czech Academy of Sciences, 2019. http://dx.doi.org/10.21136/panm.2018.04.

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Feng, Qinghua. "A New Exponential‐Type Explicit Difference Scheme For Convection‐Diffusion Equation." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990889.

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