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spin:esc201_hs2019 [2019/10/07 14:28] stadel [Lectures] |
spin:esc201_hs2019 [2019/12/09 14:51] stadel [Assignments] |
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30. Sept. 2019: {{ :spin:sins1-03.pdf |Ordinary Differential Equations}} | 30. Sept. 2019: {{ :spin:sins1-03.pdf |Ordinary Differential Equations}} | ||
- | 7. Oct. 2019: {{ :spin:sins1-04.pdf |symplectic Integrators}} | + | 7. Oct. 2019: {{ :spin:sins1-04.pdf |Symplectic Integrators}} |
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+ | 14. Oct. 2019: {{ :spin:sins1-05.pdf |Gravitational Many Body Problem: The Solar System}} | ||
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+ | 21. Oct. 2019: {{ :spin:sins1-06.pdf |Population Growth, Chaos and Fractals}} | ||
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+ | 28. Oct. 2019: {{ :spin:sins1-07.pdf |3-D Graphics, Lorenz Attractor}} | ||
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+ | 4. Nov. 2019: {{ :spin:sins1-08.pdf |Laplace Equation, Jabobi and SOR Methods}} | ||
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+ | 11. Nov. 2019: {{ :spin:sins1-09.pdf |Bi-linear(cubic) Interpolation, Electron Beams!}} | ||
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+ | 18. Nov. 2019: {{ :spin:sins1-10.pdf |Diffusion Equation and Numerical Stability}} | ||
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+ | 25. Nov. 2019: {{ :spin:sins1-11.pdf |Hyperbolic PDEs: LAX & CIR Upwind Schemes}} | ||
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+ | 2. Dec. 2019: {{ :spin:sins1-12.pdf |Finite Volume Methods in 1-D and 2-D}} | ||
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+ | 9. Dec. 2019: {{ :spin:sins1-13.pdf |2-D Hydrodynamics: Sedov Blast Wave}} | ||
====== Assignments ====== | ====== Assignments ====== | ||
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2. Predator-prey behavior with Forward Euler Method, Midpoint Runge-Kutta and (optional for comparison) Runge-Kutta, **until 06.10.2019** | 2. Predator-prey behavior with Forward Euler Method, Midpoint Runge-Kutta and (optional for comparison) Runge-Kutta, **until 06.10.2019** | ||
- | 3. Solve [[ https://www.youtube.com/watch?v=tNpuTx7UQbw | Simple Pendulum]] equation using [[ https://www.youtube.com/watch?v=rT6Whl96N4g | Symleptic Leapfrog ]] and Midpoint Runge-Kutta, compare both methods ** until 13.10.2019 ** | + | 3. Make a phase space plot for the Simple Pendulum using Symleptic Leapfrog and Midpoint Runge-Kutta, compare both methods ** until 13.10.2019 ** |
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+ | 4. Solar System Orrery {{ :spin:solsystdata.dat.zip | Initial Conditions }}, {{ :spin:read_planets.zip | Loading Script }} | ||
+ | ** until : Sunday 20.10.2019 (21:00)** | ||
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+ | 5. Logistic Equation Plots (optional), **Feigenbaum Plot**, Julia Set Plot (optional), **Mandelbrot Set Plot**, due | ||
+ | ** until : Sunday 27.10.2019 (21:00)** | ||
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+ | 6. 3D Graphics and Lorenz Attractor due ** Sunday 03.11.2019 (21:00) ** | ||
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+ | 7. Electrostatics in vacumm due ** Sunday 10.11.2019 ** | ||
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+ | 8. Bi-linear(cubic) Interpolation, Electron Beams due ** 17.11.2019 ** | ||
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+ | 9. Design Competition: Time-of-Flight Instrument, due ** 24.11.2019 ** | ||
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+ | 10. Compare Finite Difference Upwind and Corner Transport Upwind (finite volume) in 2-D using a Gaussian on a 2-D periodic mesh. due ** 8.12.2019 ** | ||
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+ | 11. Last exercise: 2-D Sedov Taylor Blast Wave. Define a 2-D **periodic** grid of variables (rho, rho_u, rho_v, E). Set P = e = 1e-5, rho_u = rho_v = 0, and rho = 1.0 everywhere. Set one cell (either in the corner, or center of the grid) to have e = 1. Adapt the timestep delta_t at each step to satisfy the Courant condition (given by the maximum of D_max across the grid). The timestep should be very small at first and increase with time as the shock wave expands. |