Equal-area Rule For Shock Location

And couple the Euler equations to a transport equation for G, Note that by using the nonconservative equation (16.52), we insure that G and hence y will remain constant numerically in regions where there is only a single gas present. Using the continuity equation pt + (pu)x 0 would allow us to rewrite (16.52) as but using this form introduces the possibility that G (p G) p will vary numerically due to variations in p and the fact that p and pG both contain numerical errors. It is also important...

Info

3.2 Superposition of Waves and Characteristic Variables 48 3.6 Domain of Dependence and Range of Influence 50 3.7 Discontinuous Solutions 52 3.8 The Riemann Problem for a Linear System 52 3.9 The Phase Plane for Systems of Two Equations 55 3.10 Coupled Acoustics and Advection 57 3.11 Initial-Boundary-Value Problems 59 Exercises 62 4 Finite Volume Methods 64 4.1 General Formulation for Conservation Laws 64 4.2 A Numerical Flux for the Diffusion Equation 66 4.3 Necessary Components for...