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Introduction to finite volume methods

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ME 663: Chapter 1Introduction to Finite Volume MethodG.D. StubleyCPH 3677, ext. 32875stubley@uwaterloo.caCopyright 2004,2005,2006,2011 G.D. Stubley1.1 Physical Processes in Multidimensional FlowyAdiabatic wallsThotxTcoldWinter 2011ME 663: Chapter 121.1 Physical Processes in Multidimensional Flow-essential physical processes in energy transfer in an infinitesimalcontrol volume:1. transient or storage,2. advective transport by fluid flow in x,y, and z directions,3. diffusive transport by molecular and turbulent processes, and4. source processes including chemical reactions and internalheaters,Winter 2011ME 663: Chapter 131.1 Physical Processes in Multidimensional Flow-what is different for momentum transfer:1. momentum is a vector quantity so there are 3 componentequations,!2. pressure gradients,source, andp p p, ,x y z, are a significant momentum3. mass conservation constrains velocity field and provides a4th equationWinter 2011ME 663: Chapter 141.1 Physical Processes in Multidimensional Flow-challenges that prevent analytical solutions:1. spatially and temporally varying velocity and transportproperty fields,2. turbulent processes are not precisely known,3. nonlinear terms, and4. complex geometries.Winter 2011ME 663: Chapter 151.2 ME 663 Goals and Outline-present/develop a solution procedure finite volume method that will be capable of simul ...
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