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ASUjets - Numerical Simulation of High Mach Number...

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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
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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
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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 = 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
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Third Order WENO-LF Scheme Nonlinear weights ω m = ˜ ω m 2 l = 1 ˜ ω l , ˜ ω l = γ l ( ε + β l ) 2 , ε = 10 - 6 where linear weights γ 1 = 1 3 , γ 2 = 2 3 & smoothness indicators β 1 = ( f j - f j -
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  • Fall '11
  • Staff
  • Trigraph, Energy density, Order WENO-LF Scheme, Carl Gardner Arizona State University Youngsoo Ha, XZ Tauri Field

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