Zhao, Ming; Wei, Tong; Hao, Shixi; Ding, Qiushi; Liu, Wei; Li, Xiaojian; Liu, Zhengxian Turbulence simulations with an improved interior penalty discontinuous Galerkin method and SST k-\(\omega\) model. (English) Zbl 1521.76182 Comput. Fluids 263, Article ID 105967, 14 p. (2023). MSC: 76F60 76M10 65M60 PDFBibTeX XMLCite \textit{M. Zhao} et al., Comput. Fluids 263, Article ID 105967, 14 p. (2023; Zbl 1521.76182) Full Text: DOI
Cao, Waixiang Unified analysis of any order spectral volume methods for diffusion equations. (English) Zbl 07730753 J. Sci. Comput. 96, No. 3, Paper No. 90, 31 p. (2023). MSC: 65M08 65M60 65M70 65M06 65N30 65L06 65D30 65M12 65M15 PDFBibTeX XMLCite \textit{W. Cao}, J. Sci. Comput. 96, No. 3, Paper No. 90, 31 p. (2023; Zbl 07730753) Full Text: DOI
Zhan, Ningyu; Chen, Rongqian; You, Yancheng Three-dimensional high-order finite-volume method based on compact WENO reconstruction with hybrid unstructured grids. (English) Zbl 07715230 J. Comput. Phys. 490, Article ID 112300, 25 p. (2023). MSC: 76Mxx 65Mxx 76Nxx PDFBibTeX XMLCite \textit{N. Zhan} et al., J. Comput. Phys. 490, Article ID 112300, 25 p. (2023; Zbl 07715230) Full Text: DOI
An, Jing; Cao, Waixiang Any order spectral volume methods for diffusion equations using the local discontinuous Galerkin formulation. (English) Zbl 07689052 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 367-394 (2023). MSC: 65M70 65M60 65L06 65N30 65N35 65M15 65M12 PDFBibTeX XMLCite \textit{J. An} and \textit{W. Cao}, ESAIM, Math. Model. Numer. Anal. 57, No. 2, 367--394 (2023; Zbl 07689052) Full Text: DOI
Lodato, Guido; Vervisch, Luc; Chapelier, Jean-Baptiste Mitigation of post-shock oscillations induced by artificial viscosity in discontinuous finite element methods. (English) Zbl 1521.76349 Comput. Fluids 241, Article ID 105491, 22 p. (2022). MSC: 76M10 76L05 PDFBibTeX XMLCite \textit{G. Lodato} et al., Comput. Fluids 241, Article ID 105491, 22 p. (2022; Zbl 1521.76349) Full Text: DOI
Veilleux, Adèle; Puigt, Guillaume; Deniau, Hugues; Daviller, Guillaume A stable spectral difference approach for computations with triangular and hybrid grids up to the \(6^{th}\) order of accuracy. (English) Zbl 07524772 J. Comput. Phys. 449, Article ID 110774, 30 p. (2022). MSC: 65Mxx 76Mxx 65Dxx PDFBibTeX XMLCite \textit{A. Veilleux} et al., J. Comput. Phys. 449, Article ID 110774, 30 p. (2022; Zbl 07524772) Full Text: DOI
Singh, S.; Karchani, A.; Chourushi, T.; Myong, R. S. A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-curtiss-based constitutive model of rarefied and microscale gas flows. (English) Zbl 1515.76103 J. Comput. Phys. 457, Article ID 111052, 36 p. (2022). MSC: 76M10 65M60 76P05 PDFBibTeX XMLCite \textit{S. Singh} et al., J. Comput. Phys. 457, Article ID 111052, 36 p. (2022; Zbl 1515.76103) Full Text: DOI
Veilleux, Adèle; Puigt, Guillaume; Deniau, Hugues; Daviller, Guillaume Stable spectral difference approach using Raviart-Thomas elements for 3D computations on tetrahedral grids. (English) Zbl 07488717 J. Sci. Comput. 91, No. 1, Paper No. 7, 22 p. (2022). MSC: 65Mxx 65Dxx 76Mxx PDFBibTeX XMLCite \textit{A. Veilleux} et al., J. Sci. Comput. 91, No. 1, Paper No. 7, 22 p. (2022; Zbl 07488717) Full Text: DOI
Tonicello, Niccolò; Lodato, Guido; Vervisch, Luc Turbulence kinetic energy transfers in direct numerical simulation of shock-wave-turbulence interaction in a compression/expansion ramp. (English) Zbl 07469317 J. Fluid Mech. 935, Paper No. A31, 43 p. (2022). MSC: 76-XX PDFBibTeX XMLCite \textit{N. Tonicello} et al., J. Fluid Mech. 935, Paper No. A31, 43 p. (2022; Zbl 07469317) Full Text: DOI
Cao, Waixiang; Zou, Qingsong Analysis of spectral volume methods for 1D linear scalar hyperbolic equations. (English) Zbl 1481.65206 J. Sci. Comput. 90, No. 1, Paper No. 61, 29 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N30 65N35 65L06 65N15 65N12 35L02 35F05 PDFBibTeX XMLCite \textit{W. Cao} and \textit{Q. Zou}, J. Sci. Comput. 90, No. 1, Paper No. 61, 29 p. (2022; Zbl 1481.65206) Full Text: DOI
Chen, Kuangxu; Liang, Chunlei A divergence-free high-order spectral difference method with constrained transport for ideal compressible magnetohydrodynamics. (English) Zbl 1502.76067 Int. J. Comput. Fluid Dyn. 35, No. 10, 826-849 (2021). MSC: 76M22 76M20 76W05 76N15 PDFBibTeX XMLCite \textit{K. Chen} and \textit{C. Liang}, Int. J. Comput. Fluid Dyn. 35, No. 10, 826--849 (2021; Zbl 1502.76067) Full Text: DOI
Messahel, Ramzi; Grondin, Gilles; Gressier, Jérémie; Bodart, Julien A conservative multirate explicit time integration method for computation of compressible flows. (English) Zbl 1521.76453 Comput. Fluids 229, Article ID 105102, 22 p. (2021). MSC: 76M12 65M08 76Nxx PDFBibTeX XMLCite \textit{R. Messahel} et al., Comput. Fluids 229, Article ID 105102, 22 p. (2021; Zbl 1521.76453) Full Text: DOI
Trojak, W.; Witherden, F. D. A new family of weighted one-parameter flux reconstruction schemes. (English) Zbl 1521.76257 Comput. Fluids 222, Article ID 104918, 14 p. (2021). MSC: 76F65 65M70 46E39 46N40 65M12 PDFBibTeX XMLCite \textit{W. Trojak} and \textit{F. D. Witherden}, Comput. Fluids 222, Article ID 104918, 14 p. (2021; Zbl 1521.76257) Full Text: DOI arXiv
Lin, Yu; Chen, Yaming; Deng, Xiaogang A fifth-order nonlinear spectral difference scheme for hyperbolic conservation laws. (English) Zbl 1521.76554 Comput. Fluids 221, Article ID 104928, 9 p. (2021). MSC: 76M20 65M06 35Q53 65M70 PDFBibTeX XMLCite \textit{Y. Lin} et al., Comput. Fluids 221, Article ID 104928, 9 p. (2021; Zbl 1521.76554) Full Text: DOI
Cox, C.; Trojak, W.; Dzanic, T.; Witherden, F. D.; Jameson, A. Accuracy, stability, and performance comparison between the spectral difference and flux reconstruction schemes. (English) Zbl 1521.76196 Comput. Fluids 221, Article ID 104922, 18 p. (2021). MSC: 76F65 65M70 46E39 76N15 PDFBibTeX XMLCite \textit{C. Cox} et al., Comput. Fluids 221, Article ID 104922, 18 p. (2021; Zbl 1521.76196) Full Text: DOI arXiv
Witherden, Freddie D.; Vincent, P. E. On nodal point sets for flux reconstruction. (English) Zbl 1486.65183 J. Comput. Appl. Math. 381, Article ID 113014, 13 p. (2021). MSC: 65M60 65M70 65L06 65M15 65D05 65D32 65K10 41A50 35Q31 PDFBibTeX XMLCite \textit{F. D. Witherden} and \textit{P. E. Vincent}, J. Comput. Appl. Math. 381, Article ID 113014, 13 p. (2021; Zbl 1486.65183) Full Text: DOI Link
Fiévet, Romain; Deniau, Hugues; Piot, Estelle Strong compact formalism for characteristic boundary conditions with discontinuous spectral methods. (English) Zbl 07505612 J. Comput. Phys. 408, Article ID 109276, 26 p. (2020). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{R. Fiévet} et al., J. Comput. Phys. 408, Article ID 109276, 26 p. (2020; Zbl 07505612) Full Text: DOI HAL
Duan, Zhaowen; Wang, Z. J. A high-order flux reconstruction method for 3D mixed overset meshes. (English) Zbl 1519.76141 Comput. Fluids 205, Article ID 104535, 15 p. (2020). MSC: 76M10 65M60 65M50 76D05 PDFBibTeX XMLCite \textit{Z. Duan} and \textit{Z. J. Wang}, Comput. Fluids 205, Article ID 104535, 15 p. (2020; Zbl 1519.76141) Full Text: DOI
Tonicello, Niccolò; Lodato, Guido; Vervisch, Luc Entropy preserving low dissipative shock capturing with wave-characteristic based sensor for high-order methods. (English) Zbl 1519.76134 Comput. Fluids 197, Article ID 104357, 17 p. (2020). MSC: 76L05 65M60 76M10 PDFBibTeX XMLCite \textit{N. Tonicello} et al., Comput. Fluids 197, Article ID 104357, 17 p. (2020; Zbl 1519.76134) Full Text: DOI
Chen, Wenqian; Ju, Yaping; Zhang, Chuhua A collocated-grid spectral difference method for compressible flows. (English) Zbl 1519.76227 Comput. Fluids 196, Article ID 104341, 13 p. (2020). MSC: 76M22 65M70 PDFBibTeX XMLCite \textit{W. Chen} et al., Comput. Fluids 196, Article ID 104341, 13 p. (2020; Zbl 1519.76227) Full Text: DOI
Ghaffarian, Ali; Hejranfar, Kazem An implicit dual-time stepping spectral difference lattice Boltzmann method for simulation of viscous compressible flows on structured meshes. (English) Zbl 07785904 Meccanica 54, No. 10, 1561-1581 (2019). MSC: 74S25 35Q20 PDFBibTeX XMLCite \textit{A. Ghaffarian} and \textit{K. Hejranfar}, Meccanica 54, No. 10, 1561--1581 (2019; Zbl 07785904) Full Text: DOI
Carlberg, Kevin T.; Jameson, Antony; Kochenderfer, Mykel J.; Morton, Jeremy; Peng, Liqian; Witherden, Freddie D. Recovering missing CFD data for high-order discretizations using deep neural networks and dynamics learning. (English) Zbl 1452.68147 J. Comput. Phys. 395, 105-124 (2019). MSC: 68T05 68T07 76M10 PDFBibTeX XMLCite \textit{K. T. Carlberg} et al., J. Comput. Phys. 395, 105--124 (2019; Zbl 1452.68147) Full Text: DOI arXiv
Li, Mao; Qiu, Zihua; Liang, Chunlei; Sprague, Michael; Xu, Min; Garris, Charles A. A new high-order spectral difference method for simulating viscous flows on unstructured grids with mixed-element meshes. (English) Zbl 1519.76214 Comput. Fluids 184, 187-198 (2019). MSC: 76M20 65M06 65M70 76Nxx PDFBibTeX XMLCite \textit{M. Li} et al., Comput. Fluids 184, 187--198 (2019; Zbl 1519.76214) Full Text: DOI Link
Lodato, Guido Characteristic modal shock detection for discontinuous finite element methods. (English) Zbl 1411.76067 Comput. Fluids 179, 309-333 (2019); corrigendum ibid. 193, Article ID 104245, 1p. (2019). MSC: 76M10 65M60 76L05 PDFBibTeX XMLCite \textit{G. Lodato}, Comput. Fluids 179, 309--333 (2019; Zbl 1411.76067) Full Text: DOI
Crabill, J.; Witherden, F. D.; Jameson, A. A parallel direct cut algorithm for high-order overset methods with application to a spinning golf ball. (English) Zbl 1416.76103 J. Comput. Phys. 374, 692-723 (2018). MSC: 76M10 65M60 65Y05 PDFBibTeX XMLCite \textit{J. Crabill} et al., J. Comput. Phys. 374, 692--723 (2018; Zbl 1416.76103) Full Text: DOI arXiv
Glaubitz, Jan; Öffner, Philipp; Sonar, Thomas Application of modal filtering to a spectral difference method. (English) Zbl 1376.65133 Math. Comput. 87, No. 309, 175-207 (2018). MSC: 65M70 65M06 35L65 65M15 PDFBibTeX XMLCite \textit{J. Glaubitz} et al., Math. Comput. 87, No. 309, 175--207 (2018; Zbl 1376.65133) Full Text: DOI arXiv
Gupta, Prateek; Lodato, Guido; Scalo, Carlo Spectral energy cascade in thermoacoustic shock waves. (English) Zbl 1421.76204 J. Fluid Mech. 831, 358-393 (2017). MSC: 76Q05 76L05 76M20 PDFBibTeX XMLCite \textit{P. Gupta} et al., J. Fluid Mech. 831, 358--393 (2017; Zbl 1421.76204) Full Text: DOI arXiv
Bakhvalov, P. A.; Kozubskaya, T. K. Modification of flux correction method for accuracy improvement on unsteady problems. (English) Zbl 1415.76496 J. Comput. Phys. 338, 199-216 (2017). MSC: 76M25 65M50 76M12 76M20 PDFBibTeX XMLCite \textit{P. A. Bakhvalov} and \textit{T. K. Kozubskaya}, J. Comput. Phys. 338, 199--216 (2017; Zbl 1415.76496) Full Text: DOI
Liu, Xiaodong; Xuan, Lijun; Xia, Yidong; Luo, Hong A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on three-dimensional hybrid grids. (English) Zbl 1390.76334 Comput. Fluids 152, 217-230 (2017). MSC: 76M10 65M60 76Nxx PDFBibTeX XMLCite \textit{X. Liu} et al., Comput. Fluids 152, 217--230 (2017; Zbl 1390.76334) Full Text: DOI
Li, Weidong High order spectral difference lattice Boltzmann method for incompressible hydrodynamics. (English) Zbl 1378.76095 J. Comput. Phys. 345, 618-636 (2017). MSC: 76M28 76M22 PDFBibTeX XMLCite \textit{W. Li}, J. Comput. Phys. 345, 618--636 (2017; Zbl 1378.76095) Full Text: DOI
Deng, Xi; Sun, Ziyao; Xie, Bin; Yokoi, Kensuke; Chen, Chungang; Xiao, Feng A non-oscillatory multi-moment finite volume scheme with boundary gradient switching. (English) Zbl 1376.65118 J. Sci. Comput. 72, No. 3, 1146-1168 (2017). MSC: 65M08 35L65 PDFBibTeX XMLCite \textit{X. Deng} et al., J. Sci. Comput. 72, No. 3, 1146--1168 (2017; Zbl 1376.65118) Full Text: DOI Link
Chapelier, J.-B.; Lodato, G.; Jameson, A. A study on the numerical dissipation of the spectral difference method for freely decaying and wall-bounded turbulence. (English) Zbl 1390.76557 Comput. Fluids 139, 261-280 (2016). MSC: 76M20 76M22 65M06 65M70 76F40 76Nxx PDFBibTeX XMLCite \textit{J. B. Chapelier} et al., Comput. Fluids 139, 261--280 (2016; Zbl 1390.76557) Full Text: DOI
Witherden, F. D.; Park, J. S.; Vincent, P. E. An analysis of solution point coordinates for flux reconstruction schemes on tetrahedral elements. (English) Zbl 1432.76170 J. Sci. Comput. 69, No. 2, 905-920 (2016). MSC: 76M10 65M60 76Bxx PDFBibTeX XMLCite \textit{F. D. Witherden} et al., J. Sci. Comput. 69, No. 2, 905--920 (2016; Zbl 1432.76170) Full Text: DOI
Hejranfar, Kazem; Ghaffarian, Ali A spectral difference lattice Boltzmann method for solution of inviscid compressible flows on structured grids. (English) Zbl 1357.76056 Comput. Math. Appl. 72, No. 5, 1341-1368 (2016). MSC: 76M22 76M28 76N99 PDFBibTeX XMLCite \textit{K. Hejranfar} and \textit{A. Ghaffarian}, Comput. Math. Appl. 72, No. 5, 1341--1368 (2016; Zbl 1357.76056) Full Text: DOI
Chapelier, J.-B.; Lodato, G. A spectral-element dynamic model for the large-eddy simulation of turbulent flows. (English) Zbl 1349.76566 J. Comput. Phys. 321, 279-302 (2016). MSC: 76M22 76F65 65M70 76Nxx PDFBibTeX XMLCite \textit{J. B. Chapelier} and \textit{G. Lodato}, J. Comput. Phys. 321, 279--302 (2016; Zbl 1349.76566) Full Text: DOI
Witherden, F. D.; Vermeire, B. C.; Vincent, P. E. Heterogeneous computing on mixed unstructured grids with pyfr. (English) Zbl 1390.76014 Comput. Fluids 120, 173-186 (2015). MSC: 76-04 65Y10 76M10 76Nxx PDFBibTeX XMLCite \textit{F. D. Witherden} et al., Comput. Fluids 120, 173--186 (2015; Zbl 1390.76014) Full Text: DOI arXiv
Liang, Xie; Min, Xu; Bin, Zhang; Zihua, Qiu A new spectral difference method using hierarchical polynomial bases for hyperbolic conservation laws. (English) Zbl 1352.65245 J. Comput. Phys. 284, 434-461 (2015). MSC: 65M06 35L45 35L65 65M70 PDFBibTeX XMLCite \textit{X. Liang} et al., J. Comput. Phys. 284, 434--461 (2015; Zbl 1352.65245) Full Text: DOI
Zhang, Bin; Liang, Chunlei A simple, efficient, and high-order accurate curved sliding-mesh interface approach to spectral difference method on coupled rotating and stationary domains. (English) Zbl 1349.76578 J. Comput. Phys. 295, 147-160 (2015). MSC: 76M22 76M20 65M06 65M70 76Nxx PDFBibTeX XMLCite \textit{B. Zhang} and \textit{C. Liang}, J. Comput. Phys. 295, 147--160 (2015; Zbl 1349.76578) Full Text: DOI arXiv
Tu, Guohua; Zhao, Xiaohui; Mao, Meiliang; Chen, Jianqiang; Deng, Xiaogang; Liu, Huayong Evaluation of Euler fluxes by a high-order CFD scheme: shock instability. (English) Zbl 07512421 Int. J. Comput. Fluid Dyn. 28, No. 5, 171-186 (2014). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{G. Tu} et al., Int. J. Comput. Fluid Dyn. 28, No. 5, 171--186 (2014; Zbl 07512421) Full Text: DOI
Zimmerman, Ben. J.; Wang, Z. J. The efficient implementation of correction procedure via reconstruction with graphics processing unit computing. (English) Zbl 1391.76378 Comput. Fluids 101, 263-272 (2014). MSC: 76M10 65M60 65Y10 76D05 PDFBibTeX XMLCite \textit{Ben. J. Zimmerman} and \textit{Z. J. Wang}, Comput. Fluids 101, 263--272 (2014; Zbl 1391.76378) Full Text: DOI
Jameson, Antony; Lodato, Guido A note on the numerical dissipation from high-order discontinuous finite element schemes. (English) Zbl 1390.65108 Comput. Fluids 98, 186-195 (2014). MSC: 65M60 PDFBibTeX XMLCite \textit{A. Jameson} and \textit{G. Lodato}, Comput. Fluids 98, 186--195 (2014; Zbl 1390.65108) Full Text: DOI
Premasuthan, Sachin; Liang, Chunlei; Jameson, Antony Computation of flows with shocks using the spectral difference method with artificial viscosity. II: Modified formulation with local mesh refinement. (English) Zbl 1391.76516 Comput. Fluids 98, 122-133 (2014). MSC: 76M22 76M20 65M70 65M06 76L05 PDFBibTeX XMLCite \textit{S. Premasuthan} et al., Comput. Fluids 98, 122--133 (2014; Zbl 1391.76516) Full Text: DOI
Premasuthan, Sachin; Liang, Chunlei; Jameson, Antony Computation of flows with shocks using the spectral difference method with artificial viscosity. I: Basic formulation and application. (English) Zbl 1391.76488 Comput. Fluids 98, 111-121 (2014). MSC: 76M20 76M22 65M70 65M06 76L05 PDFBibTeX XMLCite \textit{S. Premasuthan} et al., Comput. Fluids 98, 111--121 (2014; Zbl 1391.76488) Full Text: DOI
Zhang, Laiping; Liu, Wei; Li, Ming; He, Xin; Zhang, Hanxin A class of DG/FV hybrid schemes for conservation law IV: 2D viscous flows and implicit algorithm for steady cases. (English) Zbl 1391.76374 Comput. Fluids 97, 110-125 (2014). MSC: 76M10 76M12 65M60 65M08 76Dxx PDFBibTeX XMLCite \textit{L. Zhang} et al., Comput. Fluids 97, 110--125 (2014; Zbl 1391.76374) Full Text: DOI
Fu, Huankun; Wang, Zhengjie; Yan, Yonghua; Liu, Chaoqun Modified weighted compact scheme with global weights for shock capturing. (English) Zbl 1391.76472 Comput. Fluids 96, 165-176 (2014). MSC: 76M20 65M06 76L05 PDFBibTeX XMLCite \textit{H. Fu} et al., Comput. Fluids 96, 165--176 (2014; Zbl 1391.76472) Full Text: DOI
Yu, Meilin; Wang, Z. J.; Liu, Yen On the accuracy and efficiency of discontinuous Galerkin, spectral difference and correction procedure via reconstruction methods. (English) Zbl 1349.65591 J. Comput. Phys. 259, 70-95 (2014). MSC: 65N15 65M06 65M60 65M70 PDFBibTeX XMLCite \textit{M. Yu} et al., J. Comput. Phys. 259, 70--95 (2014; Zbl 1349.65591) Full Text: DOI
Witherden, F. D.; Farrington, A. M.; Vincent, P. E. PyFR: an open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach. (English) Zbl 1348.65005 Comput. Phys. Commun. 185, No. 11, 3028-3040 (2014). MSC: 65-04 65M60 65Y05 PDFBibTeX XMLCite \textit{F. D. Witherden} et al., Comput. Phys. Commun. 185, No. 11, 3028--3040 (2014; Zbl 1348.65005) Full Text: DOI arXiv
Witherden, F. D.; Vincent, P. E. An analysis of solution point coordinates for flux reconstruction schemes on triangular elements. (English) Zbl 1299.76153 J. Sci. Comput. 61, No. 2, 398-423 (2014). MSC: 76M10 65M80 35Q31 PDFBibTeX XMLCite \textit{F. D. Witherden} and \textit{P. E. Vincent}, J. Sci. Comput. 61, No. 2, 398--423 (2014; Zbl 1299.76153) Full Text: DOI
Parsani, Matteo; Bilka, Michael; Lacor, Chris Large eddy simulation of a muffler with the high-order spectral difference method. (English) Zbl 1302.76086 Azaïez, Mejdi (ed.) et al., Spectral and high order methods for partial differential equations – ICOSAHOM 2012. Selected papers from the ICOSAHOM conference, Gammarth, Tunisia, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-01600-9/hbk; 978-3-319-01601-6/ebook). Lecture Notes in Computational Science and Engineering 95, 337-347 (2014). Reviewer: Kai Schneider (Marseille) MSC: 76F65 76M22 PDFBibTeX XMLCite \textit{M. Parsani} et al., Lect. Notes Comput. Sci. Eng. 95, 337--347 (2014; Zbl 1302.76086) Full Text: DOI arXiv
Liang, Chunlei; Chan, A. S.; Jameson, Antony A \(p\)-multigrid spectral difference method for two-dimensional unsteady incompressible Navier-Stokes equations. (English) Zbl 1271.76230 Comput. Fluids 51, No. 1, 127-135 (2011). MSC: 76M22 76M20 76D05 65M55 PDFBibTeX XMLCite \textit{C. Liang} et al., Comput. Fluids 51, No. 1, 127--135 (2011; Zbl 1271.76230) Full Text: DOI Link
Yu, M. L.; Wang, Z. J.; Hu, H. A high-order spectral difference method for unstructured dynamic grids. (English) Zbl 1271.76234 Comput. Fluids 48, No. 1, 84-97 (2011). MSC: 76M22 76M20 76N15 PDFBibTeX XMLCite \textit{M. L. Yu} et al., Comput. Fluids 48, No. 1, 84--97 (2011; Zbl 1271.76234) Full Text: DOI Link
Liang, Chunlei; Ou, Kui; Premasuthan, Sachin; Jameson, Antony; Wang, Z. J. High-order accurate simulations of unsteady flow past plunging and pitching airfoils. (English) Zbl 1245.76081 Comput. Fluids 40, No. 1, 236-248 (2011). MSC: 76M20 76M22 76M15 PDFBibTeX XMLCite \textit{C. Liang} et al., Comput. Fluids 40, No. 1, 236--248 (2011; Zbl 1245.76081) Full Text: DOI
Zhou, Ying; Wang, Zhi Jian Absorbing boundary conditions for the Euler and Navier-Stokes equations with the spectral difference method. (English) Zbl 1282.76146 J. Comput. Phys. 229, No. 23, 8733-8749 (2010). MSC: 76M22 76M20 35Q30 35Q31 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{Z. J. Wang}, J. Comput. Phys. 229, No. 23, 8733--8749 (2010; Zbl 1282.76146) Full Text: DOI
Parsani, M.; Ghorbaniasl, G.; Lacor, C.; Turkel, E. An implicit high-order spectral difference approach for large eddy simulation. (English) Zbl 1346.76112 J. Comput. Phys. 229, No. 14, 5373-5393 (2010). MSC: 76M20 76F65 65M06 PDFBibTeX XMLCite \textit{M. Parsani} et al., J. Comput. Phys. 229, No. 14, 5373--5393 (2010; Zbl 1346.76112) Full Text: DOI
Hu, Guanghui; Li, Ruo; Tang, Tao A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids. (English) Zbl 1329.76261 J. Comput. Phys. 229, No. 5, 1681-1697 (2010). MSC: 76M25 65M06 35Q31 PDFBibTeX XMLCite \textit{G. Hu} et al., J. Comput. Phys. 229, No. 5, 1681--1697 (2010; Zbl 1329.76261) Full Text: DOI
Harris, Robert E.; Wang, Z. J. High-order adaptive quadrature-free spectral volume method on unstructured grids. (English) Zbl 1242.76219 Comput. Fluids 38, No. 10, 2006-2025 (2009). MSC: 76M22 76N15 PDFBibTeX XMLCite \textit{R. E. Harris} and \textit{Z. J. Wang}, Comput. Fluids 38, No. 10, 2006--2025 (2009; Zbl 1242.76219) Full Text: DOI
Liang, C.; Kannan, R.; Wang, Z. J. A \(p\)-multigrid spectral difference method with explicit and implicit smoothers on unstructured triangular grids. (English) Zbl 1237.76113 Comput. Fluids 38, No. 2, 254-265 (2009). MSC: 76M22 76M20 76N15 PDFBibTeX XMLCite \textit{C. Liang} et al., Comput. Fluids 38, No. 2, 254--265 (2009; Zbl 1237.76113) Full Text: DOI
Liang, Chunlei; Jameson, Antony; Wang, Z. J. Spectral difference method for compressible flow on unstructured grids with mixed elements. (English) Zbl 1159.76029 J. Comput. Phys. 228, No. 8, 2847-2858 (2009). MSC: 76M20 76M22 76M10 76N15 PDFBibTeX XMLCite \textit{C. Liang} et al., J. Comput. Phys. 228, No. 8, 2847--2858 (2009; Zbl 1159.76029) Full Text: DOI
van den Abeele, K.; Ghorbaniasl, G.; Parsani, M.; Lacor, C. A stability analysis for the spectral volume method on tetrahedral grids. (English) Zbl 1161.65079 J. Comput. Phys. 228, No. 2, 257-265 (2009). MSC: 65M70 65M12 35L65 65M50 PDFBibTeX XMLCite \textit{K. van den Abeele} et al., J. Comput. Phys. 228, No. 2, 257--265 (2009; Zbl 1161.65079) Full Text: DOI
Zhang, Xing; Ni, Saizhen; He, Guowei A pressure-correction method and its applications on an unstructured Chimera grid. (English) Zbl 1237.76095 Comput. Fluids 37, No. 8, 993-1010 (2008). MSC: 76M12 76U05 PDFBibTeX XMLCite \textit{X. Zhang} et al., Comput. Fluids 37, No. 8, 993--1010 (2008; Zbl 1237.76095) Full Text: DOI Link
Den Abeele, Kris Van; Lacor, Chris; Wang, Z. J. On the stability and accuracy of the spectral difference method. (English) Zbl 1203.65132 J. Sci. Comput. 37, No. 2, 162-188 (2008). MSC: 65M06 65M12 76M20 PDFBibTeX XMLCite \textit{K. Van Den Abeele} et al., J. Sci. Comput. 37, No. 2, 162--188 (2008; Zbl 1203.65132) Full Text: DOI
Harris, Rob; Wang, Z. J.; Liu, Yen Efficient quadrature-free high-order spectral volume method on unstructured grids: theory and 2D implementation. (English) Zbl 1134.65070 J. Comput. Phys. 227, No. 3, 1620-1642 (2008). MSC: 65M70 35L65 35L45 PDFBibTeX XMLCite \textit{R. Harris} et al., J. Comput. Phys. 227, No. 3, 1620--1642 (2008; Zbl 1134.65070) Full Text: DOI
Zhao, Jun; Chew, Y. T.; Luo, S. C.; Pan, L. S.; Wu, J. K. Generalized transport vortex method. (English) Zbl 1194.76192 Comput. Fluids 36, No. 6, 1081-1091 (2007). MSC: 76M23 76D05 PDFBibTeX XMLCite \textit{J. Zhao} et al., Comput. Fluids 36, No. 6, 1081--1091 (2007; Zbl 1194.76192) Full Text: DOI