Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Application of Gaussian Process Modeling for High-order Accurate
  Adaptive Mesh Refinement Prolongation   We present a new polynomial-free prolongation scheme for Adaptive Mesh
Refinement (AMR) simulations of compressible and incompressible computational
fluid dynamics. The new method is constructed using a multi-dimensional
kernel-based Gaussian Process (GP) prolongation model. The formulation for this
scheme was inspired by the GP methods introduced by A. Reyes et al. (A New
Class of High-Order Methods for Fluid Dynamics Simulation using Gaussian
Process Modeling, Journal of Scientific Computing, 76 (2017), 443-480; A
variable high-order shock-capturing finite difference method with GP-WENO,
Journal of Computational Physics, 381 (2019), 189-217). In this paper, we
extend the previous GP interpolations and reconstructions to a new GP-based AMR
prolongation method that delivers a high-order accurate prolongation of data
from coarse to fine grids on AMR grid hierarchies. In compressible flow
simulations special care is necessary to handle shocks and discontinuities in a
stable manner. To meet this, we utilize the shock handling strategy using the
GP-based smoothness indicators developed in the previous GP work by A. Reyes et
al. We demonstrate the efficacy of the GP-AMR method in a series of testsuite
problems using the AMReX library, in which the GP-AMR method has been
implemented.

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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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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: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: eess