ISIMA: Astrophysical Applications of Radiation

Transport

Mark Krumholz

(UC Santa Cruz)

Simple Nonmagnetic Shocks

1, T1 2, T2

u1 u2

Upstream Downstream

Shock front

Non-radiating ShockJump Conditions

Mass conservation

Momentum conservation

Energy conservation

Equation of state

Solution to Non-Radiating Shocks

As :

Strongly Radiative Optically Thin Shock

Cooling Shock Structure

Structure of a Molecular Cloud

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Pipe Nebula (Lombardi, Alves, & Lada 2006) -- opticalPipe Nebula (Lombardi, Alves, & Lada 2006) -- extinction

Jump Conditions for Optically Thick Shocks with Radiation

Subcritical Radiative ShocksNon-radiative Radiative subcritical

Taxonomy ofRadiative Shocks

Subcritical Critical SupercriticalRadiation-dominated

Width of a Radiation-Dominated Shock

Example of a Radiative Shock

Ionization Fronts

1, T1 2, T2

u1 u2

Upstream / neutral

Downstream / ionized

Ionization front

J

I-Front Jump Conditions

Allowed Ionization Fronts

Ionization + Shock Fronts

1, T1 2, T2

u1 u2

Shocked / neutral

Downstream / ionized

Ionization front

J

0, T0

u0

Upstream / neutral

Shock front

Spherical I-Front in Uniform Medium: R-Phase

Q0

Ionized

Neutral

RS

Spherical I-Front in Uniform Medium: D-Phase

Q0

Ionized

Neutral

Ri

Dense shell

D-Type Similarity Solution

Similarity solution:

Ionized Region with B Field

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