Convection-Diffusion Solver in 2D

• Features:
  • Equation: The convection-diffusion equation of general convection and diffusion coefficients
  • Domain: Rectangle
  • Mesh: Uniform
  • Discretizer: Non-Oscillatory Crank-Nicolson Method (newly-developed).
  • The solvers: ADI & Stone's Strongly Implicit Procedure (SIP)
  • Language: C++, C, and F77
  • Note: This is from a joint work with Prof. Eitan Tadmor, UCLA.
• Source code & Documentation: Convection2D.CF.tar and CU2_CN_ConvDiff.ps

Particle-In-Cell (PIC) Method in 2D

• Features:
  • Equation: The convection-diffusion equation of general convection and diffusion coefficients
  • Domain: Rectangle
  • Mesh: Uniform
  • Discretizer: Operator splitting, dual-mesh characteristics, and the central FD.
  • The elliptic solver: PCG-ILU0
  • Language: C++, C, and F77
  • Note: This is a cowork with Dr. David Chock, Ford Research Laboratory.
• Source code & Documentation: PIC.CF.tar and PIC_ConvDiff.ps.

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Unsteady, Incompressible Navier-Stokes Equations in 2D

• Features:
  • Equation: The unsteady, incompressible, viscous Navier-Stokes equations in 2D
  • Domain: Rectangle
  • Mesh: Structured (Uniform or nonuniform)
  • Discretizer: Operator splitting of a high-order accuracy and Finite volume method
  • The elliptic solver: Stone's method and PCG-ILU0
  • Language: C++, C, and F77
• Source code & Documentation: NS_OperSplit11.CF.tar and NS_OperSplit.ps.

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