Context Navigation

ExactRiemannSolver

v4	v5
7	7	Given the above properties of the Riemann problem, an algebraic expression can be derived which gives p in the central "star-region" (denoted by ''). The overall structure of the Riemann problem then is to solve this algebraic equation for p. Once p* is known, u* follows immediately. The remaining rho_L and rho_R follow from expressions valid for the specific L- or R- wave present.
8	8
9		The program thus will consist of 4 parts: 1. ~~Identification of types of nonlinear waves present in the solution states, 2. Code to find p* using an iterative process, 3. U* given by Toro 4.9, 4. Use appropriate expressions to find~~ rho_L and rho_R.
	9	The program thus will consist of 4 parts: 1. Code to find p* using an iterative process, 2. Comparing p* to p_L and p_R to identify the types of nonlinear waves present in the solution, 3. Find remaining quantities in star region, where u* is given by simple expression in Toro (eqn. 4.9), and wave-specific expressions give rho_L and rho_R.

v4	v5
7	7	Given the above properties of the Riemann problem, an algebraic expression can be derived which gives p in the central "star-region" (denoted by ''). The overall structure of the Riemann problem then is to solve this algebraic equation for p. Once p* is known, u* follows immediately. The remaining rho_L and rho_R follow from expressions valid for the specific L- or R- wave present.
8	8
9		The program thus will consist of 4 parts: 1. ~~Identification of types of nonlinear waves present in the solution states, 2. Code to find p* using an iterative process, 3. U* given by Toro 4.9, 4. Use appropriate expressions to find~~ rho_L and rho_R.
	9	The program thus will consist of 4 parts: 1. Code to find p* using an iterative process, 2. Comparing p* to p_L and p_R to identify the types of nonlinear waves present in the solution, 3. Find remaining quantities in star region, where u* is given by simple expression in Toro (eqn. 4.9), and wave-specific expressions give rho_L and rho_R.