Physics and numerics

This part of the documentation describes the numerics choices and algorithms used in the FargoCPT code.

• TODO N-body
  • TODO rebound integrator
  • TODO binary
  • TODO initialization with jacobi elements
• TODO accretion
• TODO aspect ratio
  • TODO isothermal
  • TODO with pressure
• TODO boundary conditions
  • TODO outflow
  • TODO reflective
  • TODO viscous outflow
  • TODO prescribed boundaries
  • TODO mass overflow boundary
• Conservative form
  • Radial velocity
  • Azimuthal velocity
• Implicit energy update
  • What is \(\alpha\)
  • Questions
• TODO frame of reference
  • TODO corotation
  • TODO indirect term calculation
• TODO gravity
  • TODO coupling between N-body and hydro simulation
  • TODO gravity from planet onto gas with potential
  • TODO gravity from gas onto planet with force
  • TODO smoothing
• TODO hydro simulations
  • TODO transport step with reference to FARGO paper
  • TODO grid
• Implicit viscosity
  • Problem description
  • Proposed Solution
  • Stabilizing Scheme
  • \(\tau_{r\varphi}\)
  • \(\tau_{\varphi\varphi}\)
  • Vr case
  • \(\tau_{r\varphi}\)
  • \(\tau_{\varphi\varphi}\)
  • \(\tau_{rr}\)
  • Method example from simple diffusion problem
• TODO opacities
• TODO particles
  • TODO integrator
  • TODO dust
  • TODO dust diffusion
• TODO radiative processes
  • TODO beta cooling
  • TODO viscous heating
  • TODO irradiative heating
  • TODO radiative cooling
  • TODO radiative transport with flux-limited diffusion
  • TODO QPLUS/QMINUS
• TODO self-gravity
  • TODO using Tobias Moldenhauer’s correction to Baruteau’s implementation
• TODO time step calculation
• TODO variable gamma
• TODO viscosity
  • TODO physical viscosity
  • TODO numerical visocisty
• TODO wave damping