spin:esc201_hs2023
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spin:esc201_hs2023 [2023/10/30 13:47] vasilis [List of assignments] |
spin:esc201_hs2023 [2023/12/11 16:43] (current) stadel [Lectures] |
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| 23. Oct. 2023: {{ :spin:esc201-hs2023.6.pdf |Symplectic Integrators, Simple Pendulum}} | 23. Oct. 2023: {{ :spin:esc201-hs2023.6.pdf |Symplectic Integrators, Simple Pendulum}} | ||
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| + | 30. Oct. 2023: {{ :spin:esc201-hs2023.7.pdf |The N-body Problem, Simulating the Solar System}} | ||
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| + | 6. Nov. 2023: {{ :spin:esc201-hs2023.8.pdf |Partial Differential Equations}} | ||
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| + | 13. Nov. 2023: {{ :spin:esc201-hs2023.9.pdf |Bi-linear and Bi-cubic Interpolation: Electron Beams}} | ||
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| + | 20. Nov. 2023: {{ :spin:esc201-hs2023.10.pdf |Hyperbolic PDEs, Simple Finite Difference Methods}} | ||
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| + | 27. Nov. 2023: {{ :spin:esc201-hs2023.11.pdf |Finite Volume Methods}} | ||
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| + | 4. Dec. 2023: {{ :spin:esc201-hs2023.12.pdf |1-D Hydrodynamics}} | ||
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| + | 11. Dec. 2023: {{ :spin:esc201-hs2023.13.pdf |Parallel Computing and Christmas Fractals!}} | ||
| ====== Assignments ====== | ====== Assignments ====== | ||
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| - Symplectic Integrators: Use the Leap-Frog method to make a phase plot (p vs q) of the simple pendulum for different total energies. Compare the results with what you get using the Forward Euler method and the midpoint Runge-Kutta method. (**to submit by 29 October 2023, 9pm**). | - Symplectic Integrators: Use the Leap-Frog method to make a phase plot (p vs q) of the simple pendulum for different total energies. Compare the results with what you get using the Forward Euler method and the midpoint Runge-Kutta method. (**to submit by 29 October 2023, 9pm**). | ||
| - Make a solar system orrery following the steps outlined in the lecture. Also plot the path of the solar system center of mass.(**to submit by 5 November 2023, 9pm**) | - Make a solar system orrery following the steps outlined in the lecture. Also plot the path of the solar system center of mass.(**to submit by 5 November 2023, 9pm**) | ||
| + | - Elliptical partial differential equations: Solve the Poisson equation for the electromagnetic potential using the SOR method described in the lecture, with boundary conditions given by a 1000 Volt stick in the center of a 0 Volt box (as depicted in the lecture notes). Plot the contours of the resulting potential. (**to submit by 12 November 2023, 9pm**) | ||
| + | - Interpolation, Part 1: Trace the movement of electrons in an electromagnetic potential (e.g. the one from the last exercise) with Leapfrog or Runge-Kutta. Use bilinear or bicubic interpolation for the potential. Note: This is preparatory work for the electron detector. It can be turned in for verification of electron movement but will not be graded yet.(**to submit by 19 November 2023, 9pm**) | ||
| + | - Interpolation, Part 2 (WIN A PRIZE): Design an optimal electron detector (specifics in lecture materials).(**to submit by 26 November 2023, 9pm**) | ||
| + | - Hyperbolic PDEs: Solve the linear advection equation by evolving an initial waveform in a periodic grid. See how the waveform behaves after passing through the grid multiple times and compare the results you get when using various methods introduced in the lecture (e.g. the LAX method, upwind scheme, LAX-Wendroff method) (**to submit by 26 November 2023, 9pm**) | ||
| + | - 2D advection: Solve the 2D advection problem using two methods introduced in the lecture (CIR and CTU) and compare if and how your solution diffuses numerically. (**to submit by 3 December 2023, 9pm**) | ||
| + | - 1D Hydrodynamics: Solve the “shock tube” problem and the Sedov-Taylor blast wave using the three methods provided in the lecture (detailed assignment can be found in the lecture notes). (**to submit by 10 December 2023, 9pm**) | ||
spin/esc201_hs2023.1698670022.txt.gz · Last modified: 2023/10/30 13:47 by vasilis
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