MOL solvers for hyperbolic PDEs with source terms Original Research Article

A method-of-lines solution algorithm for reacting flow problems modelled by hyperbolic partial differential equations (PDEs) with stiff source terms is presented. Monotonicity preserving advection schemes are combined with space/time error balancing and a Gauss–Seidel iteration to provide an efficient solver. Numerical experiments on two challenging examples are presented to illustrate the performance of the method.