2020
DOI: 10.1016/j.ast.2019.105648
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Hovering rotor solutions by high-order methods on unstructured grids

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Cited by 24 publications
(15 citation statements)
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“…In papers [2,3] the results of solving similar problems using numerical modeling, where a system of Reynolds-averaged equations Navier-Stockes, closed by various turbulence models, is chosen as a mathematical model to describe the motion of a viscous turbulent flow of a compressible gas. Currently for the rotors aerodynamics modeling the high order schemes on the mixed-element unstructured grids are used with compressible RANS equations [4].…”
Section: Introductionmentioning
confidence: 99%
“…In papers [2,3] the results of solving similar problems using numerical modeling, where a system of Reynolds-averaged equations Navier-Stockes, closed by various turbulence models, is chosen as a mathematical model to describe the motion of a viscous turbulent flow of a compressible gas. Currently for the rotors aerodynamics modeling the high order schemes on the mixed-element unstructured grids are used with compressible RANS equations [4].…”
Section: Introductionmentioning
confidence: 99%
“…The reconstruction process adopted in UCNS3D follows the approaches of Tsoutsanis et al [49,50], Titarev et al [51] that have been previously applied to smooth and discontinuous flow problems [1][2][3][4]40,[52][53][54][55][56][57][58][59][60][61] and only the key components are going to be described herein and the reader is referred to [49][50][51]. For a cell i a high-order polynomial p i (x, y, z) of order r can be built that provides r + 1 order of accuracy, by requiring it to have the same average as a general quantity U i .…”
Section: Spatial Discretisationmentioning
confidence: 99%
“…One of the strategies that has been widely adopted for addressing all of the aforementioned challenges across the finitevolume (FV) [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17], finite-element (FE) [18][19][20][21][22][23][24][25][26], spectral Finite Volume (SFV) [27][28][29][30][31], and combinations of them [32][33][34][35][36][37] is to develop and apply high-resolution and high-order numerical methods. High-resolution, high-order methods reduce unphysical oscillations across discontinuities, providing enhanced accuracy in flow predictions in smooth regions, while being more computational efficient than low-order methods.…”
Section: Introductionmentioning
confidence: 99%
“…The present polynomial reconstruction is based upon the approaches of [5,6,13,52], that have been applied to smooth and discontinuous flow problems [38,47,72,[75][76][77][78][79][80][81][82][83][84][85][86] and only the key-components will be presented herein and the reader is referred to [5,6,52] for further details. Unstructured meshes involve the presence of various elements shapes and sizes, and a transformation from physical space to a reference space is performed to reduce the scaling effects as introduced by Dumbser et al [13,14,87].…”
Section: Reconstructionmentioning
confidence: 99%