Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Conservative High-Order Method Utilizing Dynamic Transfinite Mortar
  Elements for Flow Simulation on Curved Sliding Meshes   We present a high-order method for flow simulation on unstructured curved
nonconforming sliding meshes. This method utilizes dynamic transfinite mortar
elements to exchange flow information between the two sides of a sliding
interface. The method is arbitrarily high-order accurate in space, provably
conservative, and satisfies outflow condition. Moreover, it retains the
accuracy of a time marching scheme, and thus allows substantial reduction of
rotational speed effects when equipped with a high-order temporal scheme. The
method's capability of simultaneously handling multiple rotational objects is
also explored. Details on the implementation are provided as well.

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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: hep-th