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ARES: a crude but efficient approach to adaptive time integration for stiff Differential-Algebraic Equations

Abstract : In the broad context of solving systems of stiff differential-algebraic equations (DAE), in-between a basic Euler implicit scheme with a fixed timestep and adaptive timestep and higher order approaches, we propose the Adaptive Relaxed Euler Scheme (ARES) an implicit Euler scheme with an adaptive timestep, in conjunction with a nonlinear solver using the Newton method.We stick to a 1st-order time scheme and the adaptive quality uses very few additional operations and is therefore much less costly and easier to implement, while remaining adaptive to the local stiffness of the system. The overall principle of ARES allowing to reduce accuracy of a transient calculation in order to get faster to a steady state, proves to be especially relevant in the context of complex industrial reactive transport simulations, where only the steady state of your plant is of interest, while eluding often evaluation through a direct calculation.
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https://hal-cea.archives-ouvertes.fr/cea-02614119
Contributor : Bibliothèque Cadarache <>
Submitted on : Wednesday, May 20, 2020 - 4:44:38 PM
Last modification on : Tuesday, May 26, 2020 - 3:14:14 AM

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  • HAL Id : cea-02614119, version 1

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N. Leterrier. ARES: a crude but efficient approach to adaptive time integration for stiff Differential-Algebraic Equations. Recent Trends in Applied Mathematics RTM'19, Apr 2019, Oxford, United Kingdom. ⟨cea-02614119⟩

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