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Get Discontinuous Finite Elements in Fluid Dynamics and Heat PDF

By Daniel Braun

ISBN-10: 3540411976

ISBN-13: 9783540411970

The discontinuous finite aspect strategy (also referred to as the discontinuous Galerkin approach) embodies the benefits of either finite point and finite distinction equipment. it may be utilized in convection-dominant functions whereas holding geometric flexibility and better neighborhood approximations throught using higher-order parts. Element-by point connection propagates the influence of boundary stipulations and the neighborhood formula obviates the necessity for international matrix meeting. All of this provides as much as a mode which isn't unduly memory-intensive and uniquely important for operating with computational dynamics, warmth move and fluid move calculations.

Discontinuous Finite components in Fluid Dynamics and warmth Transfer deals its readers a scientific and useful creation to the discontinuous finite aspect approach. It strikes from a short evaluation of the basic legislation and equations governing thermal and fluid structures, via a dialogue of other methods to the formula of discontinuous finite point suggestions for boundary and preliminary worth difficulties, to their applicaton in quite a few thermal-system and fluid-related difficulties, including:

  • heat conduction difficulties;
  • convection-dominant difficulties;
  • compressible and incompressible flows;
  • external radiation difficulties;
  • internal radiation and radiative move;
  • free- and moving-boundary difficulties;
  • micro- and nanoscale warmth move and fluid circulate;
  • thermal fluid circulation less than the impact of utilized magnetic fields.

Mesh new release and adaptivity, parellelization algorithms and a priori and a posteriori mistakes research also are brought and defined, rounding out a accomplished assessment of the subject.

Each bankruptcy positive aspects labored examples and routines illustrating events starting from easy benchmarks to useful engineering questions.

This textbook is written to shape the rules of senior undergraduate and graduate studying and in addition presents scientists, utilized mathematicians and learn engineers with an intensive remedy of simple strategies, particular strategies and techniques for using discontinuous Galerkin tools in computational fluid dynamics and warmth move applications.

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Additional info for Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer

Sample text

Principles of Heat Transfer in Porous Media. New York: SpringerVerlag, 1991. Nield DA, Joseph DD. Effects of Quadratic Drag on Convection in a Saturated Porous Medium. Phys. Fluids 1985; 28: 995–997. Nield DA. The Limitations of the Brinkman–Forchheimer Equation in Modeling Flow in a Saturated Porous Medium and at an Interface. Int. J. Heat Fluid Flow 1991; 12: 269–272. Beavers GS, Joseph DD. Boundary Conditions at a Naturally Permeable Wall. J. Fluid Mech. 1967; 30: 197–207. Bear J. Dynamics of Fluids in Porous Media.

Tech. Publications, 1989. [26] Chattot JJ. Computational Aerodynamics and Fluid Dynamics: An Introduction. New York: Springer-Verlag, 2002. [27] Weatherburn CE. Differential Geometry of Three Dimensions. London: Cambridge University Press, 1930. 2 Discontinuous Finite Element Procedures The discontinuous finite element method makes use of the same function space as the continuous method, but with relaxed continuity at interelement boundaries. It was first introduced by Reed and Hill [1] for the solution of the neutron transport equation, and its history and recent development have been reviewed by Cockburn et al.

Thermophys. Heat Transf. 2003; 17(4): 498–508. Introduction 19 [22] Huo Y, Li BQ. Three-Dimensional Marangoni Convection in Electrostatically Positioned Droplets under Microgravity. Int. J. Heat Mass Transf. 2004; 47: 3533– 3547. [23] Anderson JD. Modern Compressible Flows. New York: McGraw Hill, 1990. [24] Chang CH, Raju MS, Sirignano WA. Numerical Analysis of Convecting, Vaporizing Fuel Droplet with Variable Properties. Int. J. Heat Mass Transf. 1992; 35(5): 1307– 1324. [25] Kurz W, Fisher DJ.

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Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer by Daniel Braun

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