Venice: a multi-scale operator-splitting algorithm for multi-physics simulations

Fuente: arXiv
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Autori principali: Wilhelm, Maite, Zwart, Simon Portegies
Natura: Preprint
Pubblicazione: 2024
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author Wilhelm, Maite
Zwart, Simon Portegies
author_facet Wilhelm, Maite
Zwart, Simon Portegies
contents We present {\sc Venice}, an operator splitting algorithm to integrate a numerical model on a hierarchy of timescales. {\sc Venice} allows a wide variety of different physical processes operating a different scales to be coupled on individual and adaptive time-steps. It therewith mediates the development of complex multi-scale and multi-physics simulation environments with a wide variety of independent components. The coupling between various physical models and scales is dynamic, and realized through (Strang) operators splitting using adaptive time steps. We demonstrate the functionality and performance of this algorithm using astrophysical models of a stellar cluster, first coupling gravitational dynamics and stellar evolution, then coupling internal gravitational dynamics with dynamics within a galactic background potential, and finally combining these models while also introducing dwarf galaxy-like perturbers. These tests show numerical convergence for decreasing coupling timescales, demonstrate how {\sc Venice} can improve the performance of a simulation by shortening coupling timescales when appropriate, and provide a case study of how {\sc Venice} can be used to gradually build up and tune a complex multi-physics model. Although the examples couple complete numerical models, {\sc Venice} can also be used to efficiently solve systems of stiff differential equations.
format Preprint
id arxiv_https___arxiv_org_abs_2407_20332
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Venice: a multi-scale operator-splitting algorithm for multi-physics simulations
Wilhelm, Maite
Zwart, Simon Portegies
Instrumentation and Methods for Astrophysics
Computational Physics
We present {\sc Venice}, an operator splitting algorithm to integrate a numerical model on a hierarchy of timescales. {\sc Venice} allows a wide variety of different physical processes operating a different scales to be coupled on individual and adaptive time-steps. It therewith mediates the development of complex multi-scale and multi-physics simulation environments with a wide variety of independent components. The coupling between various physical models and scales is dynamic, and realized through (Strang) operators splitting using adaptive time steps. We demonstrate the functionality and performance of this algorithm using astrophysical models of a stellar cluster, first coupling gravitational dynamics and stellar evolution, then coupling internal gravitational dynamics with dynamics within a galactic background potential, and finally combining these models while also introducing dwarf galaxy-like perturbers. These tests show numerical convergence for decreasing coupling timescales, demonstrate how {\sc Venice} can improve the performance of a simulation by shortening coupling timescales when appropriate, and provide a case study of how {\sc Venice} can be used to gradually build up and tune a complex multi-physics model. Although the examples couple complete numerical models, {\sc Venice} can also be used to efficiently solve systems of stiff differential equations.
title Venice: a multi-scale operator-splitting algorithm for multi-physics simulations
topic Instrumentation and Methods for Astrophysics
Computational Physics
url https://arxiv.org/abs/2407.20332