PreprintCC BY 4.0HAL
Multi-material flow with a new viscoelastic model
Abstract
We study a new quasilinear system of balance laws (i.e. conservative first-order PDEs with source terms) for the numerical simulation by a front-capturing approach of viscoelastic athermal multi-material flows with sharp interfaces (like a mixture of immiscible fluids and solids). It naturally extends with an energy balance that is meaningful to stability and thermodynamics. In particular, the unequivocal definition of solutions to Cauchy problems can be guaranteed in some cases, thanks to a symmetric-hyperbolic formulation.
Related
- INI-VPINN: A Variational Physics-Informed Neural Network with Implicit Neumann and Interface Handling for Multi-Material Domains with Geometric Singularities
- A Cut Finite Element Method for Transient Thermal Simulation in Multi-material Electronic Packaging Structures
- Overlap-free multi-material topology optimization for minimum compliance in two and three dimensions by level-set-based negative-mapping interpolation
- Centralized Multi-Objective UAV–UGV Task Allocation for Disaster Relief Material Distribution with Mobile UAV Bases
- A Structure-Preserving Symmetric Galerkin Boundary Element Method for Anisotropic Multi-phase Mullins-Sekerka Flow
BibTeX
@misc{boyaval2026multimaterial,
title = {{Multi-material flow with a new viscoelastic model}},
author = {Sébastien Boyaval},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.35172},
eprint = {2609.35172},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05765434v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Multi-material flow with a new viscoelastic model
AU - Sébastien Boyaval
PY - 2026
DA - 2026/09/26
PB - HAL
DO - 10.48550/arxiv.2609.35172
UR - https://hal.science/hal-05765434v1
AB - We study a new quasilinear system of balance laws (i.e. conservative first-order PDEs with source terms) for the numerical simulation by a front-capturing approach of viscoelastic athermal multi-material flows with sharp interfaces (like a mixture of immiscible fluids and solids). It naturally extends with an energy balance that is meaningful to stability and thermodynamics. In particular, the unequivocal definition of solutions to Cauchy problems can be guaranteed in some cases, thanks to a symmetric-hyperbolic formulation.
ER -