Variable time-stepping exponential integrators for chemical reactors with analytical Jacobians

06/30/2023
by   Jared Stewart, et al.
0

Computational chemical combustion problems are known to be stiff, and are typically solved with implicit time integration methods. A novel exponential time integrator, EPI3V, is introduced and applied to a spatially homogeneous isobaric reactive mixture. Three chemical mechanism of increasing complexity are considered, and in two cases the novel method can perform similar if not marginally better to a well-known implementation of a BDF implicit method. In one specific case we see relative performance degradation of the EPI3V to the implicit method. Despite this, the novel exponential method does converge for this case. A performance analysis of the exponential method is provided, demonstrating possible avenues for performance improvement.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset