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spin:esc201_hs2020 [2020/11/09 14:07]
stadel [Lectures]
spin:esc201_hs2020 [2020/12/14 13:51] (current)
stadel [Lectures]
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 9. Nov. 2020: {{ :​spin:​week9.pdf |Bi-linear(cubic) Interpolation and Electron Beams}} 9. Nov. 2020: {{ :​spin:​week9.pdf |Bi-linear(cubic) Interpolation and Electron Beams}}
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 +16. Nov. 2020: {{ :​spin:​week10.pdf |Diffusion Equation and Numerical Stability}}
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 +23. Nov. 2020: {{ :​spin:​week11.pdf |Hyperbolic PDEs}}
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 +30. Nov. 2020: {{ :​spin:​week12.pdf |Finite Volume Method in 1-D and 2-D}}
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 +7. Dec. 2020: {{ :​spin:​week13.pdf |Hydrodynamics in 1-D}}
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 +14. Dec. 2020: {{ :​spin:​week14.pdf |Course Evaluation, Oral Exam Discussion and ESC202 info}}
  
 ====== Assignments ====== ====== Assignments ======
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   - Solar System Orrery {{ :​spin:​solsystdata.dat.zip | Initial Conditions }}, {{ :​spin:​read_planets.zip | Loading Script }} (**due 1 November, 2020**)   - Solar System Orrery {{ :​spin:​solsystdata.dat.zip | Initial Conditions }}, {{ :​spin:​read_planets.zip | Loading Script }} (**due 1 November, 2020**)
   - 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 (**due 8 November, 2020**).   - 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 (**due 8 November, 2020**).
 +  - Interpolation,​ Part 1: Trace the movement of electrons in an electromagnetic potential (e.g. the one from the last week's exercise) with Leapfrog or Runge-Kutta. Use bilinear or bicubic interpolation for the potential. (**not graded, due 15 November, 2020**) 
 +  - Interpolation,​ Part 2 (**WIN A PRIZE**): Design an optimal electron detector (specifics in lecture materials) (**due 22 November, 2020**) 
 +  - 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...) (you can get 0.5 bonus points if you implement all three variants provided in Stefan'​s Hyperbolic Hints.txt) (**due 29 November, 2020**). 
 +  - 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 (**due 6 December, 2020 **). 
 +  - 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) (**due 13 December, 2020 **). 
 +  - Fill out the evaluation form: [[https://​idevasys03.uzh.ch/​evasys_02/​public/​online/​index/​input?​p=ZG3DG]]
spin/esc201_hs2020.1604927250.txt.gz · Last modified: 2020/11/09 14:07 by stadel