Changes between Version 1 and Version 2 of u/erica/RoeSolver
- Timestamp:
- 05/15/13 23:49:05 (11 years ago)
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u/erica/RoeSolver
v1 v2 13 13 Where now the Jacobian is an averaged matrix, representing constant coefficients for the Euler equations. 14 14 15 Considering an integral form of the conservation laws given an exact solution to the approximate Riemann problem is feasible, allows one to solve for the numerical flux in terms of 1) wave strengths, 2) eigenvalues, 3) right eigenvectors of the Jacobian. One possible algebraic form for the flux function is: 16 17 {{{#!Latex 18 F_{i+1/2}= 1/2(F_L + F_R) - 1/2*SUM[\alpha_i \lambda_i K] 19 }}} 20 15 21