spin:esc201_hs2019

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spin:esc201_hs2019 [2019/11/18 14:26] stadel [Lectures] |
spin:esc201_hs2019 [2019/12/09 14:53] stadel [Assignments] |
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18. Nov. 2019: {{ :spin:sins1-10.pdf |Diffusion Equation and Numerical Stability}} | 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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8. Bi-linear(cubic) Interpolation, Electron Beams due ** 17.11.2019 ** | 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 (Note: gamma = 2). 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. You should use the corner transport upwind method with the predictor-corrector scheme outlined in the lecture. However, you can make a test using the 2-D basic LAX scheme. | ||

spin/esc201_hs2019.txt ยท Last modified: 2019/12/09 14:53 by stadel

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