Discontinuous Finite Elements in Fluid Dynamics and Heat by Ben Q. Li

By Ben Q. Li

During the last a number of years, major advances were made in constructing the discontinuous Galerkin finite point technique for purposes in fluid move and warmth move. yes distinct positive factors of the tactic have made it beautiful in its place for different renowned tools equivalent to finite quantity and finite parts in thermal fluids engineering analyses. This e-book is written as an introductory textbook at the discontinuous finite aspect process for senior undergraduate and graduate scholars within the region of thermal technological know-how and fluid dynamics. It may also be used as a reference ebook for researchers and engineers who intend to take advantage of the strategy for learn in computational fluid dynamics and warmth move. a significant portion of this ebook has been utilized in a direction for computational fluid dynamics and warmth move for senior undergraduate and primary 12 months graduate scholars. It additionally has been utilized by a few graduate scholars for self-study of the fundamentals of discontinuous finite components. This monograph assumes that readers have a easy realizing of thermodynamics, fluid mechanics and warmth move and a few historical past in numerical research. wisdom of constant finite components isn't really useful yet may be necessary. The publication covers the applying of the tactic for the simulation of either macroscopic and micro/nanoscale fluid move and warmth move phenomena.

Show description

Read or Download Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer PDF

Best ventilation & air conditioning books

Laboratory Design Guide

Laboratory layout advisor third variation is a whole consultant to the advanced technique of laboratory layout and building. With useful recommendation and detailedexamples, it really is an necessary reference for a person interested by construction or renovating laboratories. during this operating handbook Brian Griffin explains the right way to meet the original mixture of necessities that laboratory layout includes.

Residential Energy Auditing and Improvement

This ebook is for strength auditors or retrofitters, whether or not they paintings within the weatherization application or within the deepest area, and is meant to aid them organize for numerous certifications. those comprise courses with BPI, RESNET-HERS, DOE/NREL, and AEE (Association of strength Engineers). the cloth during this ebook includes methods and strategies and is meant to be an academic source.

Construction 2: Environment Science Materials Technology

This ebook stories the ideas of development expertise and prone, and the foundations of environmental and fabrics technological know-how and their purposes. It additionally reports the character and the old improvement of the equipped setting including the jobs of individuals operating within the building undefined.

Plastic Methods for Steel and Concrete Structures

It is a thoroughly revised, up-to-date and reset version of the textual content that seemed with an analogous identify throughout the Eighties. It covers the necessities of the newest layout criteria (BS5950, BS8110 and the Eurocodes) and may entice undergraduate and postgraduate scholars of civil and structural engineering and to working towards engineers.

Extra resources for Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer

Sample text

4. Derive the differential form for axisymmetric flow field by simplifying the governing equations written in the cylindrical coordinate system. 18 Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer 5. Show that the conservation law forms of governing equations reduce to the Navier–Stokes equations, when the incompressibility condition is enforced. 6. Derive the boundary force balance equation for a curved liquid-liquid interface. 7. Starting with the Euler equations, derive the jump conditions across a shock wave.

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.

New York: McGrawHill, 1989. [10] Arnold DN, Brezzi F, Cockburn B, Marni D. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems. SIAM J. Numer. Anal. 2002; 39:1749–1779. Discontinuous Finite Element Procedures 43 [11] Oden, JT, Babuska I, Baumann CE. A Discontinuous hp-Finite Element Method for Diffusion Problems. J. Comput. 1998; 146: 491–519. [12] Brenner SC, Scott LR. The Mathematical Theory of Finite Element Methods. New York: Springer-Verlag, 2002. [13] Johnson C, Pitkaranta.

Download PDF sample

Rated 4.67 of 5 – based on 11 votes