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spin:esc201_hs2019 [2019/11/18 14:26] stadel [Lectures] |
spin:esc201_hs2019 [2019/12/09 14:52] 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. | ||