IM-EX multistage time-integrators for low Mach number reacting flows
Philippe PEBAYSandia National Laboratories
Livermore, USA
Friday, June 7th, 11 a.m., CERFACS Conference Room
Abstract :
In the context of direct numerical simulation of low Mach reacting flows, multi-step implicit-explicit time-integrators have proved to be very effective, allowing operator splitting along with higher orders of accuracy. On the other hand, due to the present limits of computing resources, it has also been shown that only adaptive mesh refinement (AMR) allows the level of resolution and problem complexity required for the improvement of combustion science. For this reason, in order to avoid storage, handling and interpolation of time history, one-step multi-stage implicit-explicit schemes must be used.
In order to design and test such time-integrators, along with improving the empirical understanding of the behavior of the approximated solutions, the Modified Kaps Problem appears to be an ideal test case, for showing similar features as the differential-algebraic equations of the low Mach reacting flows approximation, and having an analytical solution.
This talk with focus on the current development of such implicit-explicit multi-stage time integrators for low MAch number reacting flows, demonstrated on the Modified Kaps Problem. In particular, we will consider the Additive Runge-Kutta class of such integrators.
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