Chenzhe Diao




Education


Contact

Email: williamdiao@gmail.com
Office: Harriman Hall 018(5)

Teaching Assistant

I was a TA for the course AMS 507 Introduction to Probability

Numerical Solutions of Wave Equation with different schemes

HW4: Problem 2. To Solve the Equation U_t + U*U_x = 0

  • Using Different Meshes with Lax-Friedrich Scheme
  • Using Different Meshes with Lax-Wendroff Scheme
  • Using Different Meshes with Godunov Scheme

    HW4: Problem 3. To Solve the Equation U_t + U*U_x = 0

  • Using Different Meshes with Roe Approximation
  • Using Different Meshes with Enquist-Osher Approximation
  • Using Different Meshes with Van-Leer Approximation

    HW4: Problem 4. To Solve the Equation U_t + U_x = 0 with smooth initial condition

  • Using Different Limiters

    HW4: Problem 5. To Solve the Equation U_t + U_x = 0 with jump initial condition

  • Using Different Limiters

    HW2: U_t+aU_x = 0, Implicit Schemes

    Central Implicit Scheme, CFL= 0.8

    N=200
    N=400

    N=800
    N=1600

    Crank Nicolson Scheme, CFL=0.8

    N=200
    N=400

    N=800
    N=1600

    Central Implicit Scheme, CFL=1.5

    N=200
    N=400

    N=800
    N=1600

    Crank Nicolson Scheme, CFL=1.5

    N=200
    N=400

    N=800
    N=1600

    Schemes for system of linear wave equations


    Lax-Wendroff Scheme
    Upwind Scheme

    My Favourite website

    Google

    Baidu

    RenRen