Adaptive computational methods for chemically-reacting radiative flows

Abstract

In this paper, several new developments in chemically reactive computational fluid dynamics are discussed which could have impact on future studies on chemically-reacting, viscous, compressible flows. These include: 1. (1) The development of very fast adaptive schemes that are virtually geometry- and coordinate-independent and which efficiently cope with the difficult data management problems associated with the evolution of mesh topologies and general algorithm structure. 2. (2) The development of fast a posteriori error estimation techniques that not only provide a basis for adaptation of the algorithm structure, mesh size, and local approximation order, but also give an indication of the quality of a complex numerical calculation. 3. (3) The development of a working experimental code for the two-dimensional transient Navier-Stokes equations with chemistry and radiative effects, applicable to general geometries and boundary conditions, and designed specifically for applications to chemical lasers.