Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Meshless Method to Compute Pressure Fields from Image Velocimetry   We propose a meshless method to compute pressure fields from image
velocimetry data, regardless of whether this is available on a regular grid as
in cross-correlation based velocimetry or on scattered points as in tracking
velocimetry. The proposed approach is based on Radial Basis Functions (RBFs)
regression and relies on the solution of two constrained least square problems.
The first one is the regression of the measurements to create an analytic
representation of the velocity field. This regression can be constrained to
impose boundary conditions (e.g. no-slip velocity on a wall or inlet
conditions) or differential constraints (e.g. the solenoidal condition for an
incompressible flow). The second one is the meshless integration of the
pressure Poisson equation, achieved by seeking a solution in the form of a RBF
expansion and using constraints to impose boundary conditions.
  We first illustrate the derivation of the two least square problems and the
numerical techniques implemented for their solution. Then, we showcase the
method with three numerical test cases of growing complexity. These are a 2D
Gaussian Vortex, a 2D flow past a cylinder from CFD and a 3D Stokes flow past a
sphere. For each case, we consider randomly sampled vector fields simulating
particle tracking measurements and analyze the sensitivity to noise and seeding
density.

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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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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: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg