Changes between Version 34 and Version 35 of u/erica/RoeSolver
 Timestamp:
 05/16/13 15:48:20 (11 years ago)
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u/erica/RoeSolver
v34 v35 38 38 = The RoePike Approach = 39 39 40 This approach avoids construction of an averaged Jacobian. Instead the method involves solving for the eigen values and vectors for the original Jacobian, deriving an expression for the wave speeds, and then evaluating these expressions using some vector of averaged scalar quantities, typically W, averaged. So from the equation above of the Euler equations in Jacobian form, we can derive the equations for wave speeds: 41 42 {{{#!Latex 43 \triangle \vec{U} = \vec{U}_R  \vec{U}_L = \Sigma _{i=1,m} \alpha_i \vec{K}^(i) 44 }}} 45 40 46 = A Sample Algorithm = 41 47