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Conservation Laws - MIT

Chapter 11 Conservation LawsIn the previous chapters we have studied numerical methods for ODEs. In the next couple of chapters we will developnumerical methods for partial differential equations (PDEs), which arise in many different physical Self-AssessmentBeforereading this chapter, you may wish to Differential Calculus [Reference to wherever this is taught] Divergence Theorem [Reference to wherever this is taught]Afterreading this chapter you should be able write Conservation laws in integral and differential form understand the behaviour of a convection equation understand the behaviour of a diffusion equation understand the behaviour of a convection-diffusion problem and how it varies with the Peclet numberRelevant self-assessment exercises:142 Conservation Laws in Integral and Differential FormIn most engineering applications, the physical system is governed by a set of Conservation laws.

42 Conservation Laws in Integral and Differential Form In most engineering applications, the physical system is governed by a set of conservation laws. For example, the gov-erning equations in gas dynamics correspond to the conservation of mass, momentum, and energy. These conservation

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