Elements of MATLAB and Simulink - Lecture 7 - PERCRO

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Thermal Regulation Problem• If the diffusion is fast there is noneed for space information• What if we want to use the exactposition of the Thermostat?PDE is ParabolicSimulink just needs the Elliptic
Thermal Regulation PDE• Geometry• Boundary• Walls: n grad(T)=0• Glass: n grad(T)=q (u(1)-T)• Where u(1) is exterior temperature, T is the internal temperature and q is the thermal conductivity• Equation• T' = div( K grad(T) ) + Th u(2)• u(2) is the heater on or off• Th is the function of heat flow from the heater based on its position
Page 1 and 2: Elements ofMatlab and SimulinkLectu
Page 3 and 4: Introducing PDEOrdinary Differentia
Page 5 and 6: Heat EquationHeat (or diffusion) eq
Page 7 and 8: Heat Equation 2DHeat Equation 2D: d
Page 9 and 10: Wave EquationLinear Waveu_tt = c^2
Page 11 and 12: Basics of FEMHow we can solve PDE n
Page 13 and 14: FEM 2DAirSiliconGeneralized approac
Page 15 and 16: MATLAB Partial Differential Equatio
Page 17 and 18: Geometry as Mesh• The FEM resolut
Page 19 and 20: Resolution of PDE• Solver functio
Page 21 and 22: PDE for Simulink• Simulink Solves
Page 23: Matrix Form of the FEMBasic Matrix
Page 27: References• Books• An Introduct

Elements of MATLAB and Simulink - Lecture 7 - PERCRO

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