Fluid Dynamics - Romano (a-1)

Numerical Methods - Matlab

   (a-1-1) 1-D diffusion equation

        Relevant Matlab codes:
             Explicit Euler, Dirichlet B.C.
             Implicit Euler, Dirichlet B.C.

   (a-1-2) Diffusion equation, boundary conditions

       Relevant Matlab codes:
             Explicit Euler, Dirichlet B.C. Convergence Test
             Explicit Euler, Neumann B.C.
             Explicit Euler, Periodic B.C.
             Implicit Euler, Neumann B.C.
             Implicit Euler, Periodic B.C.
             Crank-Nicolson, Dirichlet B.C.

   (a-1-3) 2D Poisson equation

        Relevant Matlab code:
             2D Poisson, Dirichlet B.C.

   (a-1-4) Advection equation

        Relevant Matlab codes:
             Explicit Euler, Dirichlet B.C.
             Implicit Euler, Dirichlet B.C.

   (a-1-5) Non-linear equations and systems

     (a-1-5-1) Burgers' equation

        Relevant Matlab codes:
             Burgers' equation
             Burgers' equation, inviscid, FWD
             Burgers' equation, inviscid, BWD

     (a-1-5-2) Blasius boundary layer

        Relevant Matlab code:
             Blasius BL

     (a-1-5-3) Airfoil stagnation point

        Relevant Matlab code:
             Airfoil Stagnation

   (a-1-6) Lid-driven cavity

        Relevant Matlab code (and supporting functions):
             Lid_Driven_Cavity.m (run this m-file)
             avg.m
             SysMatrInclBC.m (copy them in the same folder)

   (a-1-7) Linear PDEs with Spectral Methods

        Relevant Matlab codes:
             Advection Equation, Fourier Modes, LeapFrog
             Diffusion Equation, Chebyshev, Explicit Euler
             Poisson Equation, 2D, Chebyshev

   (a-1-8) Particle Tracking

        Relevant Matlab code:
             Particle Tracking

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