The applicability of a high resolution low-pass differential spatial filter for unstructured grids was investigated for typical high-order one-dimensional Finite Element methods. The goal was to investigate the accuracy and stability of the filter when applied on high-order elements. The one-dimensional differential filter was discretized based on Lagrange and Hierarchical Legendre base functions. Manufactured solutions were used to demonstrate the performance of the filter on two one-dimensional test cases for elements of order up to six. The results suggest that the proposed filter is effective for explicit filtering in Large Eddy Simulations using high-order methods.
机构:
Moscow Institute of Physics and Technology, State University, Institutskii pereulok 9, Dolgoprudny, Moscow oblastMoscow Institute of Physics and Technology, State University, Institutskii pereulok 9, Dolgoprudny, Moscow oblast
Favorskaya A.V.
Petrov I.B.
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Moscow Institute of Physics and Technology, State University, Institutskii pereulok 9, Dolgoprudny, Moscow oblastMoscow Institute of Physics and Technology, State University, Institutskii pereulok 9, Dolgoprudny, Moscow oblast
机构:
China Aerodynam Res & Dev Ctr, Mianyang 621000, Sichuan, Peoples R China
Natl Lab Computat Fluid Dynam, Beijing 100191, Peoples R ChinaChina Aerodynam Res & Dev Ctr, Mianyang 621000, Sichuan, Peoples R China
Zhang, H. X.
Zhang, L. P.
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China Aerodynam Res & Dev Ctr, Mianyang 621000, Sichuan, Peoples R China
State Key Lab Aerodynam, Mianyang 621000, Sichuan, Peoples R ChinaChina Aerodynam Res & Dev Ctr, Mianyang 621000, Sichuan, Peoples R China
Zhang, L. P.
Zhang, S. H.
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China Aerodynam Res & Dev Ctr, Mianyang 621000, Sichuan, Peoples R China
State Key Lab Aerodynam, Mianyang 621000, Sichuan, Peoples R ChinaChina Aerodynam Res & Dev Ctr, Mianyang 621000, Sichuan, Peoples R China
Zhang, S. H.
Li, Q.
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State Key Lab Aerodynam, Mianyang 621000, Sichuan, Peoples R China
Natl Lab Computat Fluid Dynam, Beijing 100191, Peoples R ChinaChina Aerodynam Res & Dev Ctr, Mianyang 621000, Sichuan, Peoples R China