Elements of MATLAB and Simulink - Lecture 7 - PERCRO

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Linear Advection EquationLinear advection equation: models the constant movement of aninitial distribution of u with a speed of –c along x axis. Shape ispreservedu_t = c u_xFor any function q a solution is q(w) where w = x+ctu(x,t) = q(w) = q(x+ct)>> Example lecture7_advection
Wave EquationLinear Waveu_tt = c^2 u_xxA typical solution is u(x,t)=sin(x+ct)Spherical Waveu_tt = c^2 (u_rr + 2/r u_r)If we put in evidence (ur) the solution is the same as aboveu(t,r) = 1/r [F(r-ct)+G(r+ct)]>> Example lecture7_wave
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: Heat Equation 2DHeat Equation 2D: d
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 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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