Animations for AMS-528 HW#1 Question (2)

  • Upwind Scheme

  • Leap Frog Scheme

  • Lax-Friedrich Scheme

  • Lax-Wendroff Scheme

  • MacCormack Scheme

    Animations for AMS-528 HW#1 Question (5)

  • Downwind Scheme

  • Center Difference Scheme

  • Lax-Friedrich Scheme

    Animations for AMS-528 HW#2 Question (4)

  • Central-Implicit,R=0.8,N=200
  • Central-Implicit,R=0.8,N=400
  • Central-Implicit,R=0.8,N=800
  • Central-Implicit,R=0.8,N=1600

  • Central-Implicit,R=1.5,N=200
  • Central-Implicit,R=1.5,N=400
  • Central-Implicit,R=1.5,N=800
  • Central-Implicit,R=1.5,N=1600

  • Crank-Nicolson,R=0.8,N=200
  • Crank-Nicolson,R=0.8,N=400
  • Crank-Nicolson,R=0.8,N=800
  • Crank-Nicolson,R=0.8,N=1600

  • Crank-Nicolson,R=1.5,N=200
  • Crank-Nicolson,R=1.5,N=400
  • Crank-Nicolson,R=1.5,N=800
  • Crank-Nicolson,R=1.5,N=1600

    Animations for AMS-528 HW#2 Question (5)

  • Upwind Scheme

  • Lax-Wendroff Scheme

    Animations for AMS-528 HW#3 Question (4) (a)

  • Central-Explicit,Gauss Initial Condition,N=200
  • Central-Explicit,Gauss Initial Condition,N=400
  • Central-Explicit,Gauss Initial Condition,N=800
  • Central-Explicit,Gauss Initial Condition,N=1600

  • Central-Implicit,Gauss Initial Condition,N=200
  • Central-Implicit,Gauss Initial Condition,N=400
  • Central-Implicit,Gauss Initial Condition,N=800
  • Central-Implicit,Gauss Initial Condition,N=1600

  • Crank-Nicolson,Gauss Initial Condition,N=200
  • Crank-Nicolson,Gauss Initial Condition,N=400
  • Crank-Nicolson,Gauss Initial Condition,N=800
  • Crank-Nicolson,Gauss Initial Condition,N=1600

  • Du Fort-Frankel,Gauss Initial Condition,N=200
  • Du Fort-Frankel,Gauss Initial Condition,N=400
  • Du Fort-Frankel,Gauss Initial Condition,N=800
  • Du Fort-Frankel,Gauss Initial Condition,N=1600

    Animations for AMS-528 HW#3 Question (4) (b)

  • Central-Explicit,Step Initial Condition,N=200
  • Central-Explicit,Step Initial Condition,N=400
  • Central-Explicit,Step Initial Condition,N=800
  • Central-Explicit,Step Initial Condition,N=1600

  • Central-Implicit,Step Initial Condition,N=200
  • Central-Implicit,Step Initial Condition,N=400
  • Central-Implicit,Step Initial Condition,N=800
  • Central-Implicit,Step Initial Condition,N=1600

  • Crank-Nicolson,Step Initial Condition,N=200
  • Crank-Nicolson,Step Initial Condition,N=400
  • Crank-Nicolson,Step Initial Condition,N=800
  • Crank-Nicolson,Step Initial Condition,N=1600

  • Du Fort-Frankel,Step Initial Condition,N=200
  • Du Fort-Frankel,Step Initial Condition,N=400
  • Du Fort-Frankel,Step Initial Condition,N=800
  • Du Fort-Frankel,Step Initial Condition,N=1600





    Animations for AMS-528 HW#4 Question (2)

  • Lax-Friedrich,R=0.25,N=200
  • Lax-Friedrich,R=0.25,N=400
  • Lax-Friedrich,R=0.25,N=800
  • Lax-Friedrich,R=0.25,N=1600

  • Lax-Wendroff,R=0.25,N=200
  • Lax-Wendroff,R=0.25,N=400
  • Lax-Wendroff,R=0.25,N=800
  • Lax-Wendroff,R=0.25,N=1600

    Animations for AMS-528 HW#4 Question (3)

  • Roe,R=0.25,N=200
  • Roe,R=0.25,N=400
  • Roe,R=0.25,N=800
  • Roe,R=0.25,N=1600

  • Enquist-Osher,R=0.25,N=200
  • Enquist-Osher,R=0.25,N=400
  • Enquist-Osher,R=0.25,N=800
  • Enquist-Osher,R=0.25,N=1600

  • van Leer,R=0.25,N=200
  • van Leer,R=0.25,N=400
  • van Leer,R=0.25,N=800
  • van Leer,R=0.25,N=1600

    Animations for AMS-528 HW#4 Question (4)

  • Superbee limiter,R=0.75,N=200

  • van Leer limiter,R=0.75,N=200

  • C-O limiter,R=0.75,N=200

  • Beam-Warming limiter,R=0.75,N=200

    Animations for AMS-528 HW#4 Question (5)

  • Superbee limiter,R=0.75,N=200

  • van Leer limiter,R=0.75,N=200

  • C-O limiter,R=0.75,N=200

  • Beam-Warming limiter,R=0.75,N=200

    Animations for AMS-528 HW#5 Question (1)

  • Jacobi method, 100*100 grids

  • Gauss-Seidel method, 100*100 grids

    Animations for AMS-528 HW#5 Question (3)

  • SOR method, omega = 1.94, 100*100 grids