ASUjets

# ASUjets - Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling Carl Gardner Arizona State University Youngsoo

This preview shows pages 1–8. Sign up to view the full content.

Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling Carl Gardner Arizona State University Youngsoo Ha (KAIST), Steve Dwyer, Chi-Wang Shu (Brown), Jeff Hester & Kevin Healy (ASU), John Krist & Karl Staplefeldt (JPL) 2 1 0 1 2 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Gas Dynamics with Radiative Cooling t ( mn )+ x i ( mnu i )= 0 t ( mnu j x i ( mnu i u j - P ij 0 E t + x i ( u i E - u j P ij - n 2 Λ( T ) Stress tensor & energy density P ij = - nT δ ij E = 3 2 nT + 1 2 mnu 2

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Third Order WENO-LF Scheme 1D scalar conservation law u t + f ( u ) x = 0 ,∂ f ( u ) /∂ u 0 WENO uses a convex combination of all candidate stencils du j ( t ) dt + 1 Δ x ± ˆ f j + 1 / 2 - ˆ f j - 1 / 2 ² = 0 ˆ f j + 1 / 2 = ω 1 ˆ f ( 1 ) j + 1 / 2 + ω 2 ˆ f ( 2 ) j + 1 / 2 ˆ f ( 1 ) j + 1 / 2 = - 1 2 f j - 1 + 3 2 f j , ˆ f ( 2 ) j + 1 / 2 = 1 2 f j + 1 2 f j + 1 ˆ f ( 1 ) j - 1 / 2 = - 1 2 f j - 2 + 3 2 f j - 1 , ˆ f ( 2 ) j - 1 / 2 = 1 2 f j - 1 + 1 2 f j
Third Order WENO-LF Scheme Nonlinear weights ω m = ˜ ω m 2 l = 1 ˜ ω l , ˜ ω l = γ l ( ε + β l ) 2 = 10 - 6 where linear weights γ 1 = 1 3 2 = 2 3 & smoothness indicators β 1 =( f

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 03/11/2012 for the course MAT 421 taught by Professor Staff during the Fall '11 term at ASU.

### Page1 / 23

ASUjets - Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling Carl Gardner Arizona State University Youngsoo

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online