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Anticipating stiff reaction to the raw eggs, Ms. Martin exhorted the crowd: "Come on!
For chemically reacting flow simulations, existing splitting methods often generate nonphysical waves at stiff reaction fronts.
Recently, it has been extended in an implicit explicit manner to also incorporate highly stiff reaction terms.
In particular, we apply the IIF/cIIF method to the stiff reaction and diffusion terms and the WENO method to the advection term in two different splitting sequences.
An integration method is discussed which has been designed to treat parabolic and hyperbolic terms explicitly and stiff reaction terms implicitly.
We consider flows described by the reactive Euler equations with an ideal equation of state and various stiff reaction models.
Similar(43)
High order spatial derivatives and stiff reactions often introduce severe temporal stability constraints on the time step in numerical methods.
For systems with severely stiff reactions, those methods are not efficient because the reaction terms in IF or ETD are still approximated with explicit schemes.
We show how to treat the stiff reactions via time splitting, and in particular how to increase accuracy by avoidng the common practice of approximating the temperature.
Here, we incorporate the sparse grids with the implicit integration factor method (IIF) that is advantageous in terms of stability conditions for systems containing stiff reactions and diffusions.
Though the sparse grid technique, based on a one-dimensional hierarchical basis through tensor products, is popular for handling challenges such as those associated with spatial discretization, the stability conditions on time step size due to temporal discretization, such as those associated with high-order derivatives in space and stiff reactions, remain.
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