MultiWave: A computational laboratory for adaptive numerical methods approximating hyperbolic balance laws
Year: 2026
Type: preprint
Abstract: The MultiWave C++-framework for adaptive numerical methods approximating hyperbolic balance laws is presented. MultiWave has been designed as a computational laboratory where new mathematical concepts can be quickly implemented and tested. Starting from the mathematical background and proceeding to the low-level implementation details, the realisation of a discontinuous Galerkin method with multiresolution-based grid adaptation is demonstrated. The design choices, in particular regarding the modularity that allows one to extend the code reusing existing infrastructure, is discussed. Scaling studies on a distributed-memory machine show that the framework retains its efficiency up to large rank counts, and that multiresolution-based adaptivity reduces the cost per time step by orders of magnitude compared to the uniform-grid computation at the order of accuracy of the full reference discretisation.
Source: arXiv (Cornell University)
Authors: Kolb, Adrian, Sikstel, Aleksey
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W7148458451
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