Elements of MATLAB and Simulink - Lecture 7 - PERCRO

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Heat Equation 2DExampleMetal block with a rectangular crack. The left side is heated at 100degrees, the right side heat is flowing to air at constant rate. Theothers sides are insulatedu = 100 (left side)u_n = -10 on the right sideu_n = 0 on the other boundariesu_t = u_xx + u_yyCreate DomainSet Boundary conditionsSet PDESolveTest>> Example lecture7_heat2d_pde.m with pdetool
PDE for Simulink• Simulink Solves ODE equations• Use Method of Line for making the PDE an ODE problem• We are interested in using the dynamic resolution of a PDE as partof our simulation• Update the PDE parameters and inputs along time• Integration performed by Simulink• If using Discrete simulation we can let MATLAB do the mathStatesOne for every nodePDEProblemSimulinkBlockInputTime dependingOutputsStatitsics (max/min)Value at node
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: Resolution of PDE• Solver functio
Page 23 and 24: Matrix Form of the FEMBasic Matrix
Page 25 and 26: Thermal Regulation PDE• Geometry
Page 27: References• Books• An Introduct

Elements of MATLAB and Simulink - Lecture 7 - PERCRO

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