Homework

# topic assigned due PDF
1 Boltzmann equation 01/28/2018 02/07/2018 homework1.pdf
[solutions]
2 Ideal hydrodynamics 02/07/2018 02/19/2018 homework2.pdf
[solutions]
3 Viscous hydrodynamics 02/19/2018 02/26/2018 homework3.pdf
[solutions]
4 Gas dynamics 02/26/2018 03/07/2018 homework4.pdf
[solutions]
5 Computational fluid dynamics 03/19/2018 04/02/2018 homework5.pdf
support files: riemann.f90; riemann.c; riemann.py
exact solutions: sod_exact.out; double_rarefaction_exact.out; strong_shock_exact.out; slow_shock_exact.out;
solutions: python and Fortran versions
6 Instabilities and turbulence 04/09/2018 04/11/2018 homework6.pdf
[solutions]
7 Rotation 04/16/2018 04/23/2018 homework7.pdf
[solutions]
8 MHD 04/25/2018 05/02/2018 homework8.pdf
[solutions]

General References

Introduction

Introduction to fluids, collisionless Boltzmann eq.

Course materials: Reading:
  • Choudhuri, Ch. 1

Boltzmann equation

The collision integral and equilibrium behavior.

Course materials: Readings:
  • Choudhuri, Ch. 2

Hydrodynamics

Moments of the Boltzmann equation and hydrodynamics

Course materials: Readings:
  • Choudhuri, Ch. 3

Ideal Fluids

Properties of ideal fluids

Course materials: Readings:

Viscous Fluids

How viscosity changes the flow

Course materials: Readings:

Gas Dynamics

Compressible flow, shocks, ...

Course materials: Readings: Codes:

Computational Fluid Dynamics

Methods for solving the equations of hydrodynamics

Course materials: Readings: Codes:

Instabilities

Fluid instabilities and perturbation analysis

Turbulence

Basic theory of turbulence

Course materials: Readings:

Low speed flows

Approximations for low Mach number hydrodynamics

Course materials: Readings:

Reacting Flows

combustion fronts

Course materials: Readings:

Rotation

Rotating flows

Course materials: Readings:
  • Choudhuri, Ch. 9

MHD

single fluid magnetohydrodynamics

Course materials: Readings:

Magnetic Topologies

reconnection, ...

Course materials: Readings:
  • Choudhuri, Ch. 15