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

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 develop...

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Bibliographic Details
Published in:arXiv.org
Main Authors: Wilhelm, Maite, Simon Portegies Zwart
Format: Paper
Language:English
Published: Ithaca Cornell University Library, arXiv.org 29.07.2024
Subjects:
Adaptive algorithms
Algorithms
Astronomical models
Coupling
Differential equations
Dwarf galaxies
Evolutionary algorithms
Galactic clusters
Galactic evolution
Numerical models
Performance enhancement
Physics
Splitting
Star clusters
Stellar evolution
ISSN:2331-8422
Online Access:Get full text
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Summary: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.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
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ISSN:2331-8422
DOI:10.48550/arxiv.2407.20332