Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal hydrofracturing algorithm for shear-thinning fluids: particle
  velocity based simulation   A universal particle velocity based algorithm for simulating hydraulic
fractures, previously proposed for Newtonian fluids, is extended to the class
of shear-thinning fluids. The scheme is not limited to any particular
elasticity operator or crack propagation regime. The computations are based on
two dependent variables: the crack opening and the reduced particle velocity.
The application of the latter facilitates utilization of the local condition of
Stefan type (speed equation) to trace the fracture front. The condition is
given in a general explicit form which relates the crack propagation speed (and
the crack length) to the solution tip asymptotics. The utilization of a modular
structure, and the adaptive character of its basic blocks, result in a flexible
numerical scheme. The computational accuracy of the proposed algorithm is
validated against a number of analytical benchmark solutions.

11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an