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FDL3DI

swMATH ID: 24948
Software Authors: Gaitonde, Datta V.; Visbal, Miguel R.
Description: High-Order Schemes for Navier-Stokes Equations: Algorithm and Implementation Into FDL3DI. A spectrum of higher-order schemes is developed to solve the Navier-Stokes equations in finite-difference formulations. Pade type formulas of up to sixth order with a five-point stencil are developed for the difference scheme. Viscous terms are treated by successive applications of the first derivative operator. However, formulas are also derived for use in a mid-point interpolation-differentiation strategy. For numerical stability, up to tenth-order filtering schemes are developed. The spectral properties of the differentiation and filtering schemes are examined and guidelines are provided to choose proper filter coefficients. Special high-order formulas are obtained for differentiation and filtering in the vicinity of boundaries. The coefficients required for systematic implementation of Neumann-type boundary conditions are also presented. A brief description is provided of the manner in which the FDL3DI code is enhanced by coupling the approximately-factored procedure with these compact-difference based algorithms and by incorporating an explicit fourth-order Runge-Kutta scheme.
Homepage: http://www.dtic.mil/docs/citations/ADA364301
Related Software: XFOIL; MPI; SOLA; HE-E1GODF; HIGAN; DGM; AlexNet; PDE-Net; Adam; ImageNet; PyTorch; Keras; TensorFlow; NumPy; AABB; CGAL; MOOD; PETSc; MersenneTwister; OVERFLOW 2
Cited in: 56 Publications
all top 5

Cited by 97 Authors

14 Visbal, Miguel R.
9 Rizzetta, Donald P.
7 Gaitonde, Datta V.
4 Gürarslan, Gürhan
4 Sarı, Murat
3 Colominas, Ignasi
3 Lele, Sanjiva K.
3 Li, Jichun
3 Nogueira, Xesús
2 Adler, Michael C.
2 Cueto-Felgueroso, Luis
2 Kampanis, Nikolaos A.
2 Kawai, Soshi
2 Shankar, Santhosh K.
2 Shi, Yufeng
2 Xu, Biao
1 Aragon-Calvo, Miguel A.
1 Asai, Masahito
1 Balachandar, S. Raja
1 Barnes, C. J.
1 Bellan, Josette
1 Bhagatwala, Ankit V.
1 Bisek, Nicholas J.
1 Blaisdell, Gregory A.
1 Cabot, William H.
1 Cai, Xiaodan
1 Chen, Shiyi
1 Chen, Yitung
1 Da, Dris
1 Delis, Argiris I.
1 Desjardins, Olivier
1 Ekaterinaris, John A.
1 El-Azab, M. S.
1 Emerson, David R.
1 Fernández-Fidalgo, Javier
1 Fico, Vincenzo
1 Fiorina, Benoît
1 Garmann, Daniel J.
1 Gibou, Frédéric
1 Gómez, Héctor J.
1 Gonzalez, David R.
1 Gosse, Ryan
1 Ha, Sanghyun
1 Hammad, D. A.
1 Hammer, Patrick R.
1 Haselbacher, Andreas
1 Hawkes, Evatt R.
1 Huang, Pingan
1 Inasawa, Ayumu
1 Jeong, Jaeyong
1 Johnsen, Eric
1 Khelladi, Sofiane
1 Khosla, Prem K.
1 Koochesfahani, Manoochehr M.
1 Kozyrakis, G. V.
1 Kuhn, Michael B.
1 Ladeinde, Foluso
1 Larsson, Johan
1 Li, Qin
1 Liu, Guoqing
1 Liu, Pengxin
1 Lyrintzis, Anastasios S.
1 Mistani, Pouria A.
1 Moin, Parviz
1 Morgan, P. E.
1 Motheau, Emmanuel
1 Naguib, Ahmed M.
1 Nakano, Takuya
1 Olson, Britton J.
1 Pakravan, Samira
1 Pitsch, Heinz
1 Poggie, Jonathan
1 Ramirez, Luis J.
1 Ranadive, Harshad D.
1 Rawat, Pradeep Singh
1 Reese, Jason M.
1 Rubin, Stanley G.
1 Rumpfkeil, Markus P.
1 Savard, Bruno
1 Scott, James N.
1 Sherer, Scott E.
1 Shi, Yipeng
1 Sjogreen, Bjorn
1 Stack, Cory M.
1 Stanek, Michael J.
1 Sun, Dong
1 Terashima, Hiroshi
1 Toki, Takahiko
1 Tsoutsanis, Panagiotis
1 Wan, Minping
1 Wang, Haiou
1 White, Michael D.
1 Yang, Kun
1 Yang, Yan
1 Yee, Helen C.
1 You, Donghyun
1 Zhong, Xiaolin

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