MultiWave: A computational lab for adaptive numerical methods approximating hyperbolic balance laws

TL;DR

MultiWave is a flexible C++ framework designed as a computational laboratory for developing and testing adaptive numerical methods for hyperbolic balance laws, emphasizing modularity and ease of implementation.

Contribution

The paper introduces MultiWave, a modular C++ framework enabling rapid development and testing of adaptive numerical methods for hyperbolic balance laws.

Findings

Implementation of an adaptive perturbation discontinuous Galerkin method.

Design choices enhance code extensibility and reusability.

Framework facilitates quick testing of new mathematical concepts.

Abstract

We present the MultiWave C++-framework for adaptive numerical methods approximating hyperbolic balance laws. MultiWave has been designed as a computational laboratory where new mathematical concepts can be quickly implemented and tested. We demonstrate the realisation of an adaptive perturbation discontinuous Galerkin method starting with the mathematical background and proceed to the low-level implementation details. We elaborate on the design choices made in particular regarding the modularity that allows one to extend the code reusing existing infrastructure.