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Journal Articles Advanced Modeling and Simulation in Engineering Sciences Year : 2019

Benchmark cases for robust explicit time integrators in non-smooth transient dynamics

Abstract

This article introduces benchmark cases for time integrators devoted to non-smooth impact dynamics. It focuses on numerical properties of explicit integrators. Each case tests one necessary numerical property in computational impact dynamics: energy behaviour at impact, angular momentum conservation, non-linear behaviour. The cases are easy to implement and analyse, providing a benchmark well-suited to first numerical studies. We rewrite explicit schemes for non-smooth impact dynamics with unified notations, and analyse them with the benchmark cases.
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Dates and versions

hal-02063069 , version 1 (05-12-2023)

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Jean Di Stasio, David Dureisseix, Anthony Gravouil, Gabriel Georges, Thomas Homolle. Benchmark cases for robust explicit time integrators in non-smooth transient dynamics. Advanced Modeling and Simulation in Engineering Sciences, 2019, Towards new paradigms for time integrators in computational dynamics, 6 (1), ⟨10.1186/s40323-019-0126-y⟩. ⟨hal-02063069⟩
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