Brief Overview of the Physics of the Application - Physics Assignment Help

Assignment Task

Task
Today we are going to look at deqn, a simple simulation code that we will be using for Coursework I. Ti. maim goal of this session is for you to Ito able to download. compile and run a simple version of the code. We will start with a brief overview of the physics of the application. before covering the design of the program and Most to use it. The data ode whir. the diffusion equation in twoalimension.s. The diffusion equation is a partial differential equation that describes the transferor heat through a material: On ON O'ur (I) mum u is the temperature of the material, and y are the spatial coordinates, and t istime_ The diffusion coefficient. it. will Ire taken as I. In order to :oh, this ern., hal erralirlit at ionally. it must be discretanal. This means we need to chat, the conli11110m function vivified by the partial differential equation into something that 11111 be approximat.1 try a finite number of elements. We do this using a finite diffmatee schen), with a scrotal-order inland &Hermec in spat e. rind n far and &hemmer. time. The din yet hewn. lets Its represent the rube of this fain-that al a number of points apace The.. yenta will lie mond repn NM, mailg it easy for us to evaluate the function at each point. Ices through the diseretfiarn of t be equation. This SIT t ion contains some maths, Inn most of it should be easy to follow. If r. don't pule loud everything. don't worry. we are only trying to give you an raymbav of line C0111,111eN are &nil to solve mathematical problems that often occur in the phinical sciences, The first thing we need to do a diseretise the the equation in time
 

   
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