Numerical Methods for Reacting Gas Flow Simulations

Abstract

ABSTRACT

Comparison of ODE methods for laminar reacting gas flow simulations

“…All ODE schemes we tested are equipped with a variable time step selector, as is usual in the ODE field. Details on variable time stepping can be found in [3,8,13,14].…”

“…Traditionally, the unknowns are arranged per species and lexicographic in the grid (see [7]). To reduce the amount of work to factorize the Jacobian, we reorder the unknowns and equations, which reduces the bandwidth of the Jacobian considerably (see [3,14]). For the IRKC scheme, this reordering of unknowns is required for efficient integration of (2.1) (see [17]).…”

“…In [3], we already discussed some results on the transient numerical solution of a CVD problem, which, in steady state form, was proposed as a benchmark problem by Kleijn [4]. In this article, we add the Soret effect (thermal diffusion), discuss other strategies to solve the stiff system of species equations, and compare the quality of the solutions obtained by the different strategies.…”

“…In this article, we add the Soret effect (thermal diffusion), discuss other strategies to solve the stiff system of species equations, and compare the quality of the solutions obtained by the different strategies. As in [3], it is assumed that the velocities, temperatures, pressures, and densities are known in the computational domain. Our work in [3] and this article, differ from work in literature on (laminar) reacting flows, in which, as a result of computational costs and stiffness, the simulations are limited to steady state and mostly 2D (see [1]).…”

“…As in [3], it is assumed that the velocities, temperatures, pressures, and densities are known in the computational domain. Our work in [3] and this article, differ from work in literature on (laminar) reacting flows, in which, as a result of computational costs and stiffness, the simulations are limited to steady state and mostly 2D (see [1]). However, in [5], transient simulations are presented for a CVD model consisting of six species and four reactions.…”