3 | | An approximation scheme for the Godunov method would either be one that a) approximates the values of p and u in the star region, from which the numerical flux can be directly computed, or b) approximates the numerical flux itself. The approximate Riemann solvers we learned about previously, on my wiki page on PVRS, TRRS, TSRS, and the like, are approximation methods of type 'a'. The HLL and HLLC solvers as we will see here are approximation techniques of type 'b'. |
| 3 | An approximation scheme for the Godunov method would either be one that a) approximates the values of p and u in the star region, from which the numerical flux can be directly computed, or b) approximates the numerical flux itself. The approximate Riemann solvers we learned about previously, on my wiki page on PVRS, TRRS, TSRS, and the like, are approximation methods of type 'a'. The HLL and HLLC solvers, as we will see here, are approximation techniques of type 'b'. |