Codes

• C code for computing the streamline and saving the data in a GNUPLOT format file.
  Instructions on compiling the program and plotting the streamline using GNUPLOT.
  Matlab code: streamline.m, generate_grid.m, compute_stream.m, output_array.m.


• codes for the 1D heat conduction problem.
  C code
  Matlab code solveT.m, generate_grid.m, set_matrix_eqn.m, solver_tdma.m.


• C code for homework #1 (b) and (c).


• Matlab code for 1D conduction with zero flux on the left boundary..


• Matlab code for 1D unsteady conduction:
    using Explicit FTCS scheme. explicit.m, explicitT.m
    using Implicit Crank-Nicloson scheme. explicit.m, crank_nicT.m


• C code for 1D unsteady conduction using explicit FTCS and implicit Crank-Niclson scheme..


• Matlab code of iterative method (SOR solver) for 1D Dirichlet B.C. problems; and C code.


• Matlab code of iterative method for 1D Neumann B.C. problems.


• Matlab code of iterative method (SOR solver) for 2D Dirichlet B.C. problems.


• Sample Matlab code and C code for Project 1 (Part 1) with Dirichlet B.C.
• Here are the matlab codes for solving 2d unsteady conduction problem with Dirichlet boundary conditions implemented in different schemes:
  • Explicit FTCS
  • Implicit FTCS (Laasonen)
  • Crank-Nicolson
  • Alternating Diriection Implicit(ADI)
  I have also ported these codes into C:
  • Explicit FTCS
  • Implicit FTCS (Laasonen)
  • Crank-Nicolson
  • Alternating Diriection Implicit(ADI)
• Matlab codes for solving advection/wave problem.
  • Explicit schemes: FTCS, Upwind, Lax-Wendroff
  • Implicit schemes: FTCS, Upwind, Crank-Nicolson
  • Added diffusion into the PDE. Implicit schemes
• Codes for solving 1d and 2d transport equations.
  • 1D Transport, written in Matlab
  • 1D Transport, written in C
  • 2D Transport, written in Matlab
• Codes for solving stream-vorticity formulated Navier-Stokes equation
  • Matlab code
  • C code
• An example of using the Predictor-Corrector scheme.
  • Matlab code
  • C code
• Projection method for solving Navier-Stokes equations
  • Matlab code
• Matlab codes for Problems 2 and 3 in take-home exam.
  • Problem 2
  • Problem 3: Uniform Grid
  • Problem 3: Nonuniform Grid