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Chapter Conservation Laws and the Model Equations

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Book Id: WPLBN0000687576
Format Type: PDF eBook
File Size: 195.38 KB.
Reproduction Date: 2005
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Title: Chapter Conservation Laws and the Model Equations  
Language: English
Subject: Science., Physics, Physics--Research
Collections: Physics Literature
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Chapter Conservation Laws and the Model Equations. (n.d.). Chapter Conservation Laws and the Model Equations. Retrieved from

Physics Literature

Excerpt: We start out by casting our equations in the most general form the integral conservation law form which is useful in understanding the concepts involved indefinite volume schemes. The equations are then recast into divergence form which is natural for ? difference schemes. The Euler and Navier Stokes equations are briefly discussed in this Chapter. The main focus though will be on representative model equations in particular the convection and diffusion equations. These equations contain many of the salient mathematical and physical features of the full Navier Stokes equations. The concepts of convection and diffusion are prevalent in our development of numerical methods for computational fluid dynamics and the recurring use of these model equations allows us to develop a consistent framework of analysis for consistency accuracy stability and convergence. The model equations we study have two properties in common. They are linear partial differential equations PDEs with coefficients that are constant in both space and time and they represent phenomena of importance to the analysis of certain aspects of fluid dynamic problems ...


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