F 11:00-11:50, ECOT 226
Last Updated on 4/19/2001.
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| F: January 19 | Scalar linear advection equation - linear wave equation - characteristics and Riemann Invariants - classification of first order systems of PDEs | |
| F: January 26 | Scalar nonlinear equations - Burgers equation - shocks and Rankine-Hugoniot relations | |
| F: February 2 | Burgers equation - shocks and Rankine-Hugoniot relations - dissipation | |
| F: February 9 | Riemann problem - Nonlinear systems - isothermal Euler equations | |
| F: February 16 | Isothermal Euler equations: Riemann Invariants | |
| F: February 23 | The Euler equations of gas dynamics: waves and shocks | |
| F: March 2 | The Euler equations of gas dynamics - discussion Assignment I | Assignment I (gzipped postscript)
Euler equations (mathematica notebook) Euler equations (gzipped postscript) |
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| F: March 9 | Finite difference schemes for the scalar linear advection equation in 1D | |
| F: March 16 | Second order accurate shock-capturing schemes - schemes for nonlinear equations | |
| F: March 23 | Schemes for systems | Assignment I due |
| F: March 30 | Spring Break | |
| F: April 6 | Copper Mountain Multigrid Conference | |
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| F: April 13 | no class | |
| F: April 20 | Finite Volume schemes in 1D, 2D, 3D | Assignment II (gzipped postscript)
Article Shallow Water MHD (pdf) shallow.f90 parameters.h (for shallow.f90) laxmpi.f90 |
| M: April 23 | implementation of 2D Burgers equation on parallel computers using MPI | |
| F: April 27 | Derivation of MHD from Euler + Maxwell | |
| F: May 4 | Derivation of MHD from Euler + Maxwell - MHD waves | Assignment II due
solution of assignment II: matlab file shock1.eps shock2.eps rarefaction1.eps rarefaction2.eps |
| next year: | -steady Euler and MHD flows: elliptic and hyperbolic flow regions | |
| -compound shocks | ||
| -overcompressive shocks | ||
| -MHD bow shock flows with applications in Space Physics | ||
| -time-dependent linear elasticity: waves and shocks | ||
| -relativistic Euler and MHD: waves and shocks | ||
| -waves in systems with dissipation | ||
| -viscous profiles for shocks | ||
| -entropy symmetrization of hyperbolic systems | ||
| -space-time schemes | ||
| -residual distribution finite element schemes for flows with shocks | ||
| -MHD shocks | ||
| No Final Exam |
By Hans De Sterck
Email:
desterck@colorado.edu