Changes between Version 17 and Version 18 of u/erica/MusclHancock
 Timestamp:
 06/17/13 14:20:30 (11 years ago)
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u/erica/MusclHancock
v17 v18 22 22 = The Muscl Hancock (MH) Scheme = 23 23 24 The goal of this method, like other we have looked at, is to solve the system of equations known as the 1D Euler equations,24 The goal of this method, like others we have looked at, is to solve the system of equations known as the 1D Euler equations, 25 25 26 26 [[latex($ \frac{\partial \vec{u}}{\partial t} + \frac{\partial f(\vec{u})}{\partial x} = 0 $)]] 27 28 where u is the vector of conserved variables and f is the flux function. We solve this method adhering to the IVBP, the Riemann Problem, using the fully discrete, explicit, conservative formula: 29 30 [[latex($ u_i^ {n+1} = u_i ^n + \frac{\delta t}{\delta x}[f_{i1/2}  f_{i+1/2}]$)]] 27 31 28 32 To produce 2ndorder accuracy, an outline of the MH scheme is as follows.