Relaxation Schemens for Hyperbolic Conservation Laws with Stiff Source Terms: Application to Reacting Euler Equations

摘要

We deal in this paper with the numerical study of relaxation schemes for hyper- bolic conservation laws including stiff source terms. Following Jin and Xin [11], we use semi-linear hyperbolic systems with a stiff source term to approxi- mate systems of conservation laws. This method allows to avoid the use of a Riemann solver in the construction of the numerical schemes. Numerical tests Are presented together with an application to Reactive Euler Equations.