Fast simulations for elastic solid dynamics

Paper Title:

Exponential time propagators for elastodynamics

Published on:

8 May 2024

Primary Category:

Numerical Analysis

Paper Authors:

Paavai Pari,

Bikash Kanungo,

Vikram Gavini

Bullets

Key Details

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Recasts elastodynamics equations into equivalent first-order system

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Employs exponential propagator with Magnus expansion

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Uses adaptive Krylov subspace method to evaluate propagator

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Shows quadratic convergence for nonlinear problems

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Demonstrates 1000x and 10-100x speedups

Explore the topics in this paper

computational methods

elastic solids

simulation dynamics

small scale mechanics

time evolution techniques

AI generated summary

Fast simulations for elastic solid dynamics

This paper proposes an efficient computational method to simulate the dynamics of elastic solids over time. It reformulates the equations that govern elastic solid behavior into a coupled system of equations. This allows the use of an exponential propagator technique, which provides faster and more stable solutions compared to traditional time-stepping methods. The new approach is demonstrated to enable much larger time-steps while maintaining accuracy, leading to dramatic speedups in computation time.