Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: PatchworkWave: A Multipatch Infrastructure for
  Multiphysics/Multiscale/Multiframe/Multimethod Simulations at Arbitrary Order   We present an extension of the PatchworkMHD code [1], itself an MHD-capable
extension of the Patchwork code [2], for which several algorithms presented
here were co-developed. Its purpose is to create a multipatch scheme compatible
with numerical simulations of arbitrary equations of motion at any
discretization order in space and time. In the Patchwork framework, the global
simulation is comprised of an arbitrary number of moving, local meshes, or
patches, which are free to employ their own resolution, coordinate
system/topology, physics equations, reference frame, and in our new approach,
numerical method. Each local patch exchanges boundary data with a single global
patch on which all other patches reside through a client-router-server
parallelization model. In generalizing Patchwork to be compatible with
arbitrary order time integration, PatchworkMHD and PatchworkWave have
significantly improved the interpatch interpolation accuracy by removing an
interpolation of interpolated data feedback present in the original Patchwork
code. Furthermore, we extend Patchwork to be multimethod by allowing multiple
state vectors to be updated simultaneously, with each state vector providing
its own interpatch interpolation and transformation procedures. As such, our
scheme is compatible with nearly any set of hyperbolic partial differential
equations. We demonstrate our changes through the implementation of a scalar
wave toy-model that is evolved on arbitrary, time dependent patch
configurations at 4th order accuracy.

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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat