Geodesic
Efficient parallel shock-capturing method for aerodynamics simulations on body-unfitted Cartesian grids
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 9, pp. 1677-1691

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For problems with complex geometry, a numerical method is proposed for solving the three-dimensional nonstationary Euler equations on Cartesian grids with the use of hybrid computing systems. The baseline numerical scheme, a method for implementing internal boundary conditions on body-unfitted grids, and an iterative matrix-free LU-SGS method for solving the discretized equations are described. An efficient software implementation of the numerical algorithm on a multiprocessor hybrid CPU/GPU computing system is considered. Results of test computations are presented. 
@article{ZVMMF_2016_56_9_a13,
     author = {I. S. Menshov and P. V. Pavlukhin},
     title = {Efficient parallel shock-capturing method for aerodynamics simulations on body-unfitted {Cartesian} grids},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1677--1691},
     publisher = {mathdoc},
     volume = {56},
     number = {9},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_9_a13/}
}
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I. S. Menshov; P. V. Pavlukhin. Efficient parallel shock-capturing method for aerodynamics simulations on body-unfitted Cartesian grids. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 9, pp. 1677-1691. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_9_a13/