spin:esc201_hs2022
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spin:esc201_hs2022 [2022/11/28 12:56] thomas [List of assignments] |
spin:esc201_hs2022 [2022/12/12 14:29] (current) stadel [Lectures] |
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| 21. Nov. 2022: {{ :spin:hs2022_week10.pdf |Diffusion Equation and Numerical Stability}} | 21. Nov. 2022: {{ :spin:hs2022_week10.pdf |Diffusion Equation and Numerical Stability}} | ||
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| + | 28. Nov. 2022: {{ :spin:hs2022_week11.pdf |Hyperbolic PDEs}} | ||
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| + | 5. Dec. 2022: {{ :spin:hs2022_week12.pdf |Fintite Volume Method and 2-D Advection}} | ||
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| + | 12. Dec. 2022: {{ :spin:hs2022_week13.pdf |Hydrodynamics in 1-D}} | ||
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| ====== Assignments ====== | ====== Assignments ====== | ||
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| - 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. (**not graded, to submit by 21 November, 2022, 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. (**not graded, to submit by 21 November, 2022, 9pm**). | ||
| - Interpolation, Part 2 (**WIN A PRIZE**): Design an optimal electron detector (specifics in lecture materials) (**to submit by 28 November, 2022, 9pm**). | - Interpolation, Part 2 (**WIN A PRIZE**): Design an optimal electron detector (specifics in lecture materials) (**to submit by 28 November, 2022, 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...) (you can get 0.5 bonus points if you implement all three variants provided in Stefan's Hyperbolic Hints.txt) (**to submit by 5 December, 2022, 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 5 December, 2022, 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 12 December, 2022, 9pm**). | ||
| + | - **Optional (grade for this exercise can replace your worst grade so far):** 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 31 December, 2022, 9pm **). | ||
spin/esc201_hs2022.1669636578.txt.gz · Last modified: 2022/11/28 12:56 by thomas
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