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High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
SIAM Review, 2009High order accurate weighted essentially nonoscillatory (WENO) schemes are relatively new but have gained rapid popularity in numerical solutions of hyperbolic partial differential equations (PDEs) and other convection dominated problems.
Chi-Wang Shu
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Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1987
Thermal convection in a fluid layer is an example of a dynamical system governed by partial differential equations. As the relevant control parameter (the Rayleigh number) is increased, successive bifurcations may lead to chaos and the nature of the transition depends on the spatial structure of the flow.
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Thermal convection in a fluid layer is an example of a dynamical system governed by partial differential equations. As the relevant control parameter (the Rayleigh number) is increased, successive bifurcations may lead to chaos and the nature of the transition depends on the spatial structure of the flow.
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Natural convection in enclosures
, 1988Publisher Summary This chapter discusses the complex nature of the natural convection phenomena in enclosures. It discusses the two basic configurations of natural convection— that is, a rectangular cavity and a horizontal circular cylinder.
S. Ostrach
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Physics of Mantle Convection [PDF]
This chapter presents the fundamental physics necessary to understand the complex fluid dynamics of mantle convection. The first section derives the equations of conservation for mass, momentum and energy, and the boundary and interface conditions for the various physical quantities.
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Turbulent gravitational convection from maintained and instantaneous sources
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, 1956B. Morton, G. Taylor, J. S. Turner
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Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems
Journal of Scientific Computing, 2001Bernardo Cockburn, Chi-Wang Shu
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