Jackson School of Geosciences - University of Texas at Austin
Course overview
The course introduces geoscientists to numerical solution of dynamical problems arising in the solid earth geosciences. The students will develop their own codes in Matlab and apply them to gain insight into heat transfer, wave propagation, elastic and viscous deformations. Familiarity with Matlab is assumed, for an introduction to Matlab please attend GEO 325G.
Course websites:
You should have received invitations to both sites, let me know if you didn’t.
Lecture 1 (Jan 21): Class introduction & project
Lecture 2 (Jan 23): Conservation laws
Lecture 3 (Jan 28): Discrete Operators
Lecture 4 (Jan 30): Boundary Conditions I: Dirichlet homogeneous
Lecture 5 (Feb 4): Boundary Conditions II: Dirichlet heterogenous
Lecture 6 (Feb 6): Boundary Conditons III: Neumann
Lecture 7 (Feb 11): Discrete Conservation, Layered Media and Variable Coefficients
Lecture 8 (Feb 13): Transient heat transport
Lecture 9 (Feb 18): Planetesimal Thermal Evolution
Lecture 10 (Feb 20): Advective heat transport
Lecture 11 (Feb 25): Scaling and time-stepping the ADE
Lecture 12 (Feb 27): Time stepping ADE
Lecture 13 (Mar 3): Moving from 1D to 2D
Lecture 14 (Mar 5): Discrete Divergence & Gradient
Lecture 15 (Mar 5): 2D Advection matrix
Lecture 16 (Mar 12): 2D example problems
Lecture 17(Mar 31): Derivation of Navier-Stokes equation
Lecture 18 (Apr 2): Scaling Navier-Stokes equation
Lecture 19 (Apr 7): Staggered grid for Stress/Strain
Lecture 20 (Apr 9): Discrete Stokes operators
Lecture 20 (Apr 9): Discrete Stokes operators
Lecture 21 (Apr 14): Corner flow & Streamlines
Lecture 22 (Apr 16): Coupled Stokes flow and heat transport - Mid-ocean ridges
Lecture 23 (Apr 21): Rayleigh-Bernard convection
Lecture 24 (Apr 28): Implementing convection
Lecture 25 (Apr 30): Advective-diffusive fluxes
Lecture 26 (May 5): Temperature dependent properties of ice
Lecture 27 (May 7): Tidal dissipation