Krais, Nico; Beck, Andrea; Bolemann, Thomas; Frank, Hannes; Flad, David; Gassner, Gregor; Hindenlang, Florian; Hoffmann, Malte; Kuhn, Thomas; Sonntag, Matthias; Munz, Claus-Dieter FLEXI: a high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws. (English) Zbl 07288711 Comput. Math. Appl. 81, 186-219 (2021). MSC: 76 65 PDF BibTeX XML Cite \textit{N. Krais} et al., Comput. Math. Appl. 81, 186--219 (2021; Zbl 07288711) Full Text: DOI
Holst, Kevin R.; Glasby, Ryan S.; Bond, Ryan B. On the effect of temporal error in high-order simulations of unsteady flows. (English) Zbl 1453.76071 J. Comput. Phys. 402, Article ID 108989, 21 p. (2020). MSC: 76M10 76N06 PDF BibTeX XML Cite \textit{K. R. Holst} et al., J. Comput. Phys. 402, Article ID 108989, 21 p. (2020; Zbl 1453.76071) Full Text: DOI
Liu, Y. Y.; Shu, C.; Zhang, H. W.; Yang, L. M. A high order least square-based finite difference-finite volume method with lattice Boltzmann flux solver for simulation of incompressible flows on unstructured grids. (English) Zbl 1453.76168 J. Comput. Phys. 401, Article ID 109019, 23 p. (2020). MSC: 76M28 76M12 76M20 65M06 65M08 76D05 PDF BibTeX XML Cite \textit{Y. Y. Liu} et al., J. Comput. Phys. 401, Article ID 109019, 23 p. (2020; Zbl 1453.76168) Full Text: DOI
Zhang, Rongpei; Liu, Jia; Jiang, Shaohua; Wang, Di The local discontinuous Galerkin method with generalized alternating flux applied to the second-order wave equations. (English) Zbl 1445.65038 Complexity 2020, Article ID 8464153, 9 p. (2020). MSC: 65M60 35L05 PDF BibTeX XML Cite \textit{R. Zhang} et al., Complexity 2020, Article ID 8464153, 9 p. (2020; Zbl 1445.65038) Full Text: DOI
Bassi, C.; Busto, S.; Dumbser, M. High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves. (English) Zbl 1447.74042 Appl. Numer. Math. 158, 236-263 (2020). MSC: 74S05 74S20 74L05 74J05 74F10 76B15 86A15 PDF BibTeX XML Cite \textit{C. Bassi} et al., Appl. Numer. Math. 158, 236--263 (2020; Zbl 1447.74042) Full Text: DOI
Franciolini, Matteo; Fidkowski, Krzysztof J.; Crivellini, Andrea Efficient discontinuous Galerkin implementations and preconditioners for implicit unsteady compressible flow simulations. (English) Zbl 07200212 Comput. Fluids 203, Article ID 104542, 17 p. (2020). MSC: 76 PDF BibTeX XML Cite \textit{M. Franciolini} et al., Comput. Fluids 203, Article ID 104542, 17 p. (2020; Zbl 07200212) Full Text: DOI
Komala-Sheshachala, Sanjay; Sevilla, Ruben; Hassan, Oubay A coupled HDG-FV scheme for the simulation of transient inviscid compressible flows. (English) Zbl 07200188 Comput. Fluids 202, Article ID 104495, 13 p. (2020). MSC: 76 PDF BibTeX XML Cite \textit{S. Komala-Sheshachala} et al., Comput. Fluids 202, Article ID 104495, 13 p. (2020; Zbl 07200188) Full Text: DOI
Ding, Kaihua; Fidkowski, Krzysztof J. Acceleration of adjoint-based adaptation through sub-iterations. (English) Zbl 07200185 Comput. Fluids 202, Article ID 104491, 13 p. (2020). MSC: 76 PDF BibTeX XML Cite \textit{K. Ding} and \textit{K. J. Fidkowski}, Comput. Fluids 202, Article ID 104491, 13 p. (2020; Zbl 07200185) Full Text: DOI
Huynh, H. T. Discontinuous Galerkin via interpolation: the direct flux reconstruction method. (English) Zbl 1445.76062 J. Sci. Comput. 82, No. 3, Paper No. 75, 32 p. (2020). MSC: 76M99 65M12 PDF BibTeX XML Cite \textit{H. T. Huynh}, J. Sci. Comput. 82, No. 3, Paper No. 75, 32 p. (2020; Zbl 1445.76062) Full Text: DOI
Shadpey, Siavosh; Zingg, David W. Entropy-stable multidimensional summation-by-parts discretizations on hp-adaptive curvilinear grids for hyperbolic conservation laws. (English) Zbl 07197755 J. Sci. Comput. 82, No. 3, Paper No. 70, 46 p. (2020). MSC: 65D 35J 65N PDF BibTeX XML Cite \textit{S. Shadpey} and \textit{D. W. Zingg}, J. Sci. Comput. 82, No. 3, Paper No. 70, 46 p. (2020; Zbl 07197755) Full Text: DOI
Deng, Xi; Jiang, Zhen-Hua; Xiao, Feng; Yan, Chao Implicit large eddy simulation of compressible turbulence flow with \(\mathrm{P}_n\mathrm{T}_m-\mathrm{BVD}\) scheme. (English) Zbl 1450.76018 Appl. Math. Modelling 77, Part 1, 17-31 (2020). MSC: 76F65 76M12 76F50 76L05 PDF BibTeX XML Cite \textit{X. Deng} et al., Appl. Math. Modelling 77, Part 1, 17--31 (2020; Zbl 1450.76018) Full Text: DOI
Modarreszadeh, Amir; Timofeev, Evgeny High-order numerical simulation of axisymmetric wave phase conjugation. (English) Zbl 07149122 Comput. Fluids 197, Article ID 104353, 21 p. (2020). MSC: 76 PDF BibTeX XML Cite \textit{A. Modarreszadeh} and \textit{E. Timofeev}, Comput. Fluids 197, Article ID 104353, 21 p. (2020; Zbl 07149122) Full Text: DOI
Lipnikov, Konstantin; Morgan, Nathaniel A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes. (English) Zbl 1453.65333 J. Comput. Phys. 399, Article ID 108931, 14 p. (2019). MSC: 65M60 65M50 76M10 PDF BibTeX XML Cite \textit{K. Lipnikov} and \textit{N. Morgan}, J. Comput. Phys. 399, Article ID 108931, 14 p. (2019; Zbl 1453.65333) Full Text: DOI
Lipnikov, Konstantin; Morgan, Nathaniel A high-order discontinuous Galerkin method for level set problems on polygonal meshes. (English) Zbl 1453.65332 J. Comput. Phys. 397, Article ID 108834, 14 p. (2019). MSC: 65M60 65M50 65M12 PDF BibTeX XML Cite \textit{K. Lipnikov} and \textit{N. Morgan}, J. Comput. Phys. 397, Article ID 108834, 14 p. (2019; Zbl 1453.65332) Full Text: DOI
Li, Shu-Jie Mesh curving and refinement based on cubic Bézier surface for high-order discontinuous Galerkin methods. (English) Zbl 1448.76102 Comput. Math. Math. Phys. 59, No. 12, 2080-2092 (2019). MSC: 76M10 65M60 65M50 76N30 PDF BibTeX XML Cite \textit{S.-J. Li}, Comput. Math. Math. Phys. 59, No. 12, 2080--2092 (2019; Zbl 1448.76102) Full Text: DOI
Stees, Mike; Shontz, Suzanne M. An angular approach to untangling high-order curvilinear triangular meshes. (English) Zbl 1446.74217 Roca, Xevi (ed.) et al., Proceedings of the 27th International Meshing Roundtable (IMR), Albuquerque, NM, USA, October 1–5, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 127, 327-342 (2019). MSC: 74S99 65M50 65N50 PDF BibTeX XML Cite \textit{M. Stees} and \textit{S. M. Shontz}, Lect. Notes Comput. Sci. Eng. 127, 327--342 (2019; Zbl 1446.74217) Full Text: DOI
Caplan, Philip Claude; Haimes, Robert; Roca, Xevi Isometric embedding of curvilinear meshes defined on Riemannian metric spaces. (English) Zbl 07216445 Roca, Xevi (ed.) et al., Proceedings of the 27th International Meshing Roundtable (IMR), Albuquerque, NM, USA, October 1–5, 2018. Cham: Springer (ISBN 978-3-030-13991-9/hbk; 978-3-030-13994-0/pbk; 978-3-030-13992-6/ebook). Lecture Notes in Computational Science and Engineering 127, 23-36 (2019). MSC: 65 PDF BibTeX XML Cite \textit{P. C. Caplan} et al., Lect. Notes Comput. Sci. Eng. 127, 23--36 (2019; Zbl 07216445) Full Text: DOI
Li, Shu-Jie Mesh curving and refinement based on cubic Bézier surface for high-order discontinuous Galerkin methods. (English) Zbl 1450.65155 Garanzha, Vladimir A. (ed.) et al., Numerical geometry, grid generation and scientific computing. Proceedings of the 9th international conference, NUMGRID 2018 / Voronoi 150, celebrating the 150th anniversary of G.F. Voronoi, Moscow, Russia, December 3–5, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 131, 205-216 (2019). MSC: 65N50 65N30 41A10 35Q31 PDF BibTeX XML Cite \textit{S.-J. Li}, Lect. Notes Comput. Sci. Eng. 131, 205--216 (2019; Zbl 1450.65155) Full Text: DOI
Brus, S. R.; Wirasaet, D.; Kubatko, E. J.; Westerink, J. J.; Dawson, C. High-order discontinuous Galerkin methods for coastal hydrodynamics applications. (English) Zbl 1441.76054 Comput. Methods Appl. Mech. Eng. 355, 860-899 (2019). MSC: 76M10 65M60 76B15 76D33 86A05 PDF BibTeX XML Cite \textit{S. R. Brus} et al., Comput. Methods Appl. Mech. Eng. 355, 860--899 (2019; Zbl 1441.76054) Full Text: DOI
Bosler, Peter A.; Bradley, Andrew M.; Taylor, Mark A. Conservative multimoment transport along characteristics for discontinuous Galerkin methods. (English) Zbl 1421.76153 SIAM J. Sci. Comput. 41, No. 4, B870-B902 (2019). MSC: 76M10 PDF BibTeX XML Cite \textit{P. A. Bosler} et al., SIAM J. Sci. Comput. 41, No. 4, B870--B902 (2019; Zbl 1421.76153) Full Text: DOI
Costa, Ricardo; Clain, Stéphane; Loubère, Raphaël; Machado, Gaspar J. Very high-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection-diffusion equation with Dirichlet condition. (English) Zbl 07166620 Appl. Math. Modelling 54, 752-767 (2018). MSC: 65 76 PDF BibTeX XML Cite \textit{R. Costa} et al., Appl. Math. Modelling 54, 752--767 (2018; Zbl 07166620) Full Text: DOI
Alhawwary, Mohammad; Wang, Z. J. Fourier analysis and evaluation of DG, FD and compact difference methods for conservation laws. (English) Zbl 1416.65252 J. Comput. Phys. 373, 835-862 (2018). MSC: 65M06 65M60 76M10 76M20 35L65 PDF BibTeX XML Cite \textit{M. Alhawwary} and \textit{Z. J. Wang}, J. Comput. Phys. 373, 835--862 (2018; Zbl 1416.65252) Full Text: DOI
Filbet, Francis; Xiong, Tao A hybrid discontinuous Galerkin scheme for multi-scale kinetic equations. (English) Zbl 1415.76452 J. Comput. Phys. 372, 841-863 (2018). MSC: 76M10 82C40 65M60 76N15 PDF BibTeX XML Cite \textit{F. Filbet} and \textit{T. Xiong}, J. Comput. Phys. 372, 841--863 (2018; Zbl 1415.76452) Full Text: DOI
Sevilla, Ruben; Huerta, Antonio HDG-NEFEM with degree adaptivity for Stokes flows. (English) Zbl 06996165 J. Sci. Comput. 77, No. 3, 1953-1980 (2018). MSC: 65N08 65N12 65N22 65N30 PDF BibTeX XML Cite \textit{R. Sevilla} and \textit{A. Huerta}, J. Sci. Comput. 77, No. 3, 1953--1980 (2018; Zbl 06996165) Full Text: DOI
Balázsová, Monika; Česenek, Jan; Feistauer, Miloslav; Sváček, Petr; Horáček, Jaromír Comparison of numerical methods for the solution of viscous incompressible and low Mach number compressible flow. (English) Zbl 1410.76151 Comput. Fluids 174, 167-178 (2018). MSC: 76M10 65M60 76D05 76Nxx PDF BibTeX XML Cite \textit{M. Balázsová} et al., Comput. Fluids 174, 167--178 (2018; Zbl 1410.76151) Full Text: DOI
Li, Shu-Jie; Luo, Li-Shi; Wang, Z. J.; Ju, Lili An exponential time-integrator scheme for steady and unsteady inviscid flows. (English) Zbl 1395.76060 J. Comput. Phys. 365, 206-225 (2018). MSC: 76M25 76M10 65M60 76G25 PDF BibTeX XML Cite \textit{S.-J. Li} et al., J. Comput. Phys. 365, 206--225 (2018; Zbl 1395.76060) Full Text: DOI
Xiong, Min; Deng, Xiaogang; Gao, Xiang; Dong, Yidao; Xu, Chuanfu; Wang, Zhenghua A novel stencil selection method for the gradient reconstruction on unstructured grid based on OpenFoam. (English) Zbl 1410.76273 Comput. Fluids 172, 426-442 (2018). MSC: 76M12 65M08 76N10 PDF BibTeX XML Cite \textit{M. Xiong} et al., Comput. Fluids 172, 426--442 (2018; Zbl 1410.76273) Full Text: DOI
Dong, Yidao; Deng, Xiaogang; Gao, Xiang; Xiong, Min; Wang, Guangxue A comparative study of boundary conditions for the density-based solvers in the framework of OpenFoam. (English) Zbl 1410.76219 Comput. Fluids 172, 284-300 (2018). MSC: 76M12 76-04 PDF BibTeX XML Cite \textit{Y. Dong} et al., Comput. Fluids 172, 284--300 (2018; Zbl 1410.76219) Full Text: DOI
Lou, Jialin; Li, Lingquan; Luo, Hong; Nishikawa, Hiroaki Reconstructed discontinuous Galerkin methods for linear advection-diffusion equations based on first-order hyperbolic system. (English) Zbl 1395.65082 J. Comput. Phys. 369, 103-124 (2018). MSC: 65M60 35L04 PDF BibTeX XML Cite \textit{J. Lou} et al., J. Comput. Phys. 369, 103--124 (2018; Zbl 1395.65082) Full Text: DOI
Liu, Xiaodong; Xia, Yidong; Luo, Hong A reconstructed discontinuous Galerkin method for compressible turbulent flows on 3D curved grids. (English) Zbl 1390.76108 Comput. Fluids 160, 26-41 (2018). MSC: 76F50 76M10 PDF BibTeX XML Cite \textit{X. Liu} et al., Comput. Fluids 160, 26--41 (2018; Zbl 1390.76108) Full Text: DOI
Clain, Stéphane; Loubère, Raphaël; Machado, Gaspar J. A posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations. (English) Zbl 1388.76171 Adv. Comput. Math. 44, No. 2, 571-607 (2018). MSC: 76M12 65N08 65Z05 PDF BibTeX XML Cite \textit{S. Clain} et al., Adv. Comput. Math. 44, No. 2, 571--607 (2018; Zbl 1388.76171) Full Text: DOI
Giani, Stefano Reliable anisotropic-adaptive discontinuous Galerkin method for simplified \(\mathbf{P}_{\mathbf{N}}\) approximations of radiative transfer. (English) Zbl 1448.65230 J. Comput. Appl. Math. 337, 225-243 (2018). MSC: 65N30 65N15 65N50 80A21 PDF BibTeX XML Cite \textit{S. Giani}, J. Comput. Appl. Math. 337, 225--243 (2018; Zbl 1448.65230) Full Text: DOI
Wang, Lai; Yu, Meilin Compact direct flux reconstruction for conservation laws. (English) Zbl 1398.65221 J. Sci. Comput. 75, No. 1, 253-275 (2018). MSC: 65M06 65M12 35L65 PDF BibTeX XML Cite \textit{L. Wang} and \textit{M. Yu}, J. Sci. Comput. 75, No. 1, 253--275 (2018; Zbl 1398.65221) Full Text: DOI
Meng, Xucheng; Hu, Guanghui A NURBS-enhanced finite volume solver for steady Euler equations. (English) Zbl 1383.76356 J. Comput. Phys. 359, 77-92 (2018). MSC: 76M12 35Q31 76N15 PDF BibTeX XML Cite \textit{X. Meng} and \textit{G. Hu}, J. Comput. Phys. 359, 77--92 (2018; Zbl 1383.76356) Full Text: DOI
Manzanero, Juan; Rubio, Gonzalo; Ferrer, Esteban; Valero, Eusebi Dispersion-dissipation analysis for advection problems with nonconstant coefficients: applications to discontinuous Galerkin formulations. (English) Zbl 1453.65337 SIAM J. Sci. Comput. 40, No. 2, A747-A768 (2018). MSC: 65M60 65M12 PDF BibTeX XML Cite \textit{J. Manzanero} et al., SIAM J. Sci. Comput. 40, No. 2, A747--A768 (2018; Zbl 1453.65337) Full Text: DOI
Xuan, Li-Jun; Majdalani, Joseph A point-value enhanced finite volume method based on approximate delta functions. (English) Zbl 1380.65292 J. Comput. Phys. 355, 37-58 (2018). MSC: 65M60 65M08 PDF BibTeX XML Cite \textit{L.-J. Xuan} and \textit{J. Majdalani}, J. Comput. Phys. 355, 37--58 (2018; Zbl 1380.65292) Full Text: DOI
Franciolini, Matteo; Crivellini, Andrea; Nigro, Alessandra On the efficiency of a matrix-free linearly implicit time integration strategy for high-order discontinuous Galerkin solutions of incompressible turbulent flows. (English) Zbl 1390.76312 Comput. Fluids 159, 276-294 (2017). MSC: 76M10 76F65 65M60 76D05 PDF BibTeX XML Cite \textit{M. Franciolini} et al., Comput. Fluids 159, 276--294 (2017; Zbl 1390.76312) Full Text: DOI
Zhou, Cheng; Shi, Lei; Wang, Z. J. Adaptive high-order discretization of the Reynolds-averaged Navier-Stokes equations. (English) Zbl 1390.76385 Comput. Fluids 159, 137-155 (2017). MSC: 76M10 65M60 76Nxx PDF BibTeX XML Cite \textit{C. Zhou} et al., Comput. Fluids 159, 137--155 (2017; Zbl 1390.76385) Full Text: DOI
Tong, Oisin; Katz, Aaron; Yanagita, Yushi; Work, Dalon Verification and validation of a high-order strand grid method for two-dimensional turbulent flows. (English) Zbl 1390.76523 Comput. Fluids 154, 335-346 (2017). MSC: 76M12 65M08 76F65 PDF BibTeX XML Cite \textit{O. Tong} et al., Comput. Fluids 154, 335--346 (2017; Zbl 1390.76523) Full Text: DOI
Deng, Xi; Xie, Bin; Xiao, Feng A finite volume multi-moment method with boundary variation diminishing principle for Euler equation on three-dimensional hybrid unstructured grids. (English) Zbl 1390.76422 Comput. Fluids 153, 85-101 (2017). MSC: 76M12 65M08 PDF BibTeX XML Cite \textit{X. Deng} et al., Comput. Fluids 153, 85--101 (2017; Zbl 1390.76422) 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 PDF BibTeX XML Cite \textit{X. Liu} et al., Comput. Fluids 152, 217--230 (2017; Zbl 1390.76334) Full Text: DOI
Lehrenfeld, Christoph; Schöberl, Joachim High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows. (English) Zbl 1439.76081 Comput. Methods Appl. Mech. Eng. 307, 339-361 (2016). MSC: 76M10 65M60 76D05 PDF BibTeX XML Cite \textit{C. Lehrenfeld} and \textit{J. Schöberl}, Comput. Methods Appl. Mech. Eng. 307, 339--361 (2016; Zbl 1439.76081) Full Text: DOI
Giani, Stefano; Seaid, Mohammed \(h p\)-adaptive discontinuous Galerkin methods for simplified \(\operatorname{P}_{\operatorname{N}}\) approximations of frequency-dependent radiative transfer. (English) Zbl 1425.74462 Comput. Methods Appl. Mech. Eng. 301, 52-79 (2016). MSC: 74S05 65N30 45K05 74A15 PDF BibTeX XML Cite \textit{S. Giani} and \textit{M. Seaid}, Comput. Methods Appl. Mech. Eng. 301, 52--79 (2016; Zbl 1425.74462) Full Text: DOI
Lin, Gao; Pang, Lin; Hu, Zhiqiang; Zhang, Yong Improving accuracy and efficiency of stress analysis using scaled boundary finite elements. (English) Zbl 1403.74189 Eng. Anal. Bound. Elem. 67, 26-42 (2016). MSC: 74S15 74S05 65N38 65N30 74A10 PDF BibTeX XML Cite \textit{G. Lin} et al., Eng. Anal. Bound. Elem. 67, 26--42 (2016; Zbl 1403.74189) Full Text: DOI
Yang, Liu; Yang, Aiming Implementation of spectral difference method on overset grids for compressible inviscid flows. (English) Zbl 1390.76663 Comput. Fluids 140, 500-511 (2016). MSC: 76M22 76M20 65M70 65M06 76Nxx PDF BibTeX XML Cite \textit{L. Yang} and \textit{A. Yang}, Comput. Fluids 140, 500--511 (2016; Zbl 1390.76663) Full Text: DOI
Yu, Meilin; Wang, Lai A high-order flux reconstruction/correction procedure via reconstruction formulation for unsteady incompressible flow on unstructured moving grids. (English) Zbl 1390.76378 Comput. Fluids 139, 161-173 (2016). MSC: 76M10 65M60 76D05 PDF BibTeX XML Cite \textit{M. Yu} and \textit{L. Wang}, Comput. Fluids 139, 161--173 (2016; Zbl 1390.76378) Full Text: DOI
Cheng, Jian; Liu, Tiegang; Luo, Hong A hybrid reconstructed discontinuous Galerkin method for compressible flows on arbitrary grids. (English) Zbl 1390.76300 Comput. Fluids 139, 68-79 (2016). MSC: 76M10 65M60 65M50 76Nxx PDF BibTeX XML Cite \textit{J. Cheng} et al., Comput. Fluids 139, 68--79 (2016; Zbl 1390.76300) Full Text: DOI
Marras, Simone; Kelly, James F.; Moragues, Margarida; Müller, Andreas; Kopera, Michal A.; Vázquez, Mariano; Giraldo, Francis X.; Houzeaux, Guillaume; Jorba, Oriol A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin. (English) Zbl 1360.86004 Arch. Comput. Methods Eng. 23, No. 4, 673-722 (2016). MSC: 86-08 86A10 76M10 65M60 PDF BibTeX XML Cite \textit{S. Marras} et al., Arch. Comput. Methods Eng. 23, No. 4, 673--722 (2016; Zbl 1360.86004) Full Text: DOI
Liu, Yilang; Zhang, Weiwei; Jiang, Yuewen; Ye, Zhengyin A high-order finite volume method on unstructured grids using RBF reconstruction. (English) Zbl 1406.65070 Comput. Math. Appl. 72, No. 4, 1096-1117 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M55 76M12 76D05 65D32 PDF BibTeX XML Cite \textit{Y. Liu} et al., Comput. Math. Appl. 72, No. 4, 1096--1117 (2016; Zbl 1406.65070) Full Text: DOI
Gargallo-Peiró, A.; Roca, X.; Peraire, J.; Sarrate, J. A distortion measure to validate and generate curved high-order meshes on CAD surfaces with independence of parameterization. (English) Zbl 1352.65053 Int. J. Numer. Methods Eng. 106, No. 13, 1100-1130 (2016). MSC: 65D17 65N50 PDF BibTeX XML Cite \textit{A. Gargallo-Peiró} et al., Int. J. Numer. Methods Eng. 106, No. 13, 1100--1130 (2016; Zbl 1352.65053) Full Text: DOI
Brazell, Michael J.; Sitaraman, Jayanarayanan; Mavriplis, Dimitri J. An overset mesh approach for 3D mixed element high-order discretizations. (English) Zbl 1351.76050 J. Comput. Phys. 322, 33-51 (2016). MSC: 76M10 65M60 76Nxx PDF BibTeX XML Cite \textit{M. J. Brazell} et al., J. Comput. Phys. 322, 33--51 (2016; Zbl 1351.76050) Full Text: DOI
Hu, Guanghui; Yi, Nianyu An adaptive finite volume solver for steady Euler equations with non-oscillatory \(k\)-exact reconstruction. (English) Zbl 1351.76109 J. Comput. Phys. 312, 235-251 (2016). MSC: 76M12 65M08 PDF BibTeX XML Cite \textit{G. Hu} and \textit{N. Yi}, J. Comput. Phys. 312, 235--251 (2016; Zbl 1351.76109) Full Text: DOI
Zhang, Xiangxiong A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems. (English) Zbl 1352.65380 J. Comput. Phys. 308, 153-170 (2016). MSC: 65M60 PDF BibTeX XML Cite \textit{X. Zhang}, J. Comput. Phys. 308, 153--170 (2016; Zbl 1352.65380) Full Text: DOI
Zwanenburg, Philip; Nadarajah, Siva Equivalence between the energy stable flux reconstruction and filtered discontinuous Galerkin schemes. (English) Zbl 1351.76090 J. Comput. Phys. 306, 343-369 (2016). MSC: 76M10 65M60 PDF BibTeX XML Cite \textit{P. Zwanenburg} and \textit{S. Nadarajah}, J. Comput. Phys. 306, 343--369 (2016; Zbl 1351.76090) Full Text: DOI
Dumbser, Michael; Loubère, Raphaël A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. (English) Zbl 1349.65447 J. Comput. Phys. 319, 163-199 (2016). MSC: 65M60 65M08 65M12 PDF BibTeX XML Cite \textit{M. Dumbser} and \textit{R. Loubère}, J. Comput. Phys. 319, 163--199 (2016; Zbl 1349.65447) Full Text: DOI
Cox, Christopher; Liang, Chunlei; Plesniak, Michael W. A high-order solver for unsteady incompressible Navier-Stokes equations using the flux reconstruction method on unstructured grids with implicit dual time stepping. (English) Zbl 1349.76193 J. Comput. Phys. 314, 414-435 (2016). MSC: 76M10 65M60 76D05 PDF BibTeX XML Cite \textit{C. Cox} et al., J. Comput. Phys. 314, 414--435 (2016; Zbl 1349.76193) Full Text: DOI
Toulorge, Thomas; Lambrechts, Jonathan; Remacle, Jean-François Optimizing the geometrical accuracy of curvilinear meshes. (English) Zbl 1349.65671 J. Comput. Phys. 310, 361-380 (2016). MSC: 65N50 65D17 PDF BibTeX XML Cite \textit{T. Toulorge} et al., J. Comput. Phys. 310, 361--380 (2016; Zbl 1349.65671) Full Text: DOI arXiv
Poya, Roman; Sevilla, Ruben; Gil, Antonio J. A unified approach for a posteriori high-order curved mesh generation using solid mechanics. (English) Zbl 1398.74472 Comput. Mech. 58, No. 3, 457-490 (2016). MSC: 74S30 65N30 78M10 74B20 76M10 65N50 PDF BibTeX XML Cite \textit{R. Poya} et al., Comput. Mech. 58, No. 3, 457--490 (2016; Zbl 1398.74472) Full Text: DOI
May, Georg; Zakerzadeh, Mohammad On the convergence of space-time discontinuous Galerkin schemes for scalar conservation laws. (English) Zbl 1351.65064 SIAM J. Numer. Anal. 54, No. 4, 2452-2465 (2016). MSC: 65M12 35L65 65M60 PDF BibTeX XML Cite \textit{G. May} and \textit{M. Zakerzadeh}, SIAM J. Numer. Anal. 54, No. 4, 2452--2465 (2016; Zbl 1351.65064) Full Text: DOI
Tong, Oisin; Katz, Aaron; Yanagita, Yushi; Casey, Alex; Schaap, Robert High-order methods for turbulent flows on three-dimensional strand grids. (English) Zbl 1381.76134 J. Sci. Comput. 67, No. 1, 84-102 (2016). MSC: 76F65 76M10 PDF BibTeX XML Cite \textit{O. Tong} et al., J. Sci. Comput. 67, No. 1, 84--102 (2016; Zbl 1381.76134) Full Text: DOI
De Santis, D. High-order linear and non-linear residual distribution schemes for turbulent compressible flows. (English) Zbl 1423.76147 Comput. Methods Appl. Mech. Eng. 285, 1-31 (2015). MSC: 76F50 65M60 76M10 PDF BibTeX XML Cite \textit{D. De Santis}, Comput. Methods Appl. Mech. Eng. 285, 1--31 (2015; Zbl 1423.76147) Full Text: DOI
Göttlich, Simone; Schindler, Patrick Discontinuous Galerkin method for material flow problems. (English) Zbl 1394.76074 Math. Probl. Eng. 2015, Article ID 341893, 15 p. (2015). MSC: 76M12 76M10 65M60 65M08 76T25 PDF BibTeX XML Cite \textit{S. Göttlich} and \textit{P. Schindler}, Math. Probl. Eng. 2015, Article ID 341893, 15 p. (2015; Zbl 1394.76074) Full Text: DOI
Bassi, F.; Botti, L.; Colombo, A.; Ghidoni, A.; Massa, F. Linearly implicit Rosenbrock-type Runge-Kutta schemes applied to the discontinuous Galerkin solution of compressible and incompressible unsteady flows. (English) Zbl 1390.76833 Comput. Fluids 118, 305-320 (2015). MSC: 76R10 65M60 PDF BibTeX XML Cite \textit{F. Bassi} et al., Comput. Fluids 118, 305--320 (2015; Zbl 1390.76833) Full Text: DOI
Gargallo-Peiró, A.; Roca, X.; Peraire, J.; Sarrate, J. Optimization of a regularized distortion measure to generate curved high-order unstructured tetrahedral meshes. (English) Zbl 1352.65609 Int. J. Numer. Methods Eng. 103, No. 5, 342-363 (2015). MSC: 65N50 65D17 PDF BibTeX XML Cite \textit{A. Gargallo-Peiró} et al., Int. J. Numer. Methods Eng. 103, No. 5, 342--363 (2015; Zbl 1352.65609) Full Text: DOI
Wirasaet, D.; Brus, S. R.; Michoski, C. E.; Kubatko, E. J.; Westerink, J. J.; Dawson, C. Artificial boundary layers in discontinuous Galerkin solutions to shallow water equations in channels. (English) Zbl 1351.76085 J. Comput. Phys. 299, 597-612 (2015). MSC: 76M10 65M60 35Q53 76B15 PDF BibTeX XML Cite \textit{D. Wirasaet} et al., J. Comput. Phys. 299, 597--612 (2015; Zbl 1351.76085) Full Text: DOI
Nishikawa, Hiroaki Accuracy-preserving boundary flux quadrature for finite-volume discretization on unstructured grids. (English) Zbl 1352.65432 J. Comput. Phys. 281, 518-555 (2015). MSC: 65N08 PDF BibTeX XML Cite \textit{H. Nishikawa}, J. Comput. Phys. 281, 518--555 (2015; Zbl 1352.65432) Full Text: DOI
Wang, Yue; Wang, Shuanghu Arbitrary high order discontinuous Galerkin schemes based on the GRP method for compressible Euler equations. (English) Zbl 1349.76283 J. Comput. Phys. 298, 113-124 (2015). MSC: 76M10 65M60 76N99 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{S. Wang}, J. Comput. Phys. 298, 113--124 (2015; Zbl 1349.76283) Full Text: DOI
Shi, Lei; Wang, Z. J. Adjoint-based error estimation and mesh adaptation for the correction procedure via reconstruction method. (English) Zbl 1349.76267 J. Comput. Phys. 295, 261-284 (2015). MSC: 76M10 65M60 65M50 76D05 76J20 PDF BibTeX XML Cite \textit{L. Shi} and \textit{Z. J. Wang}, J. Comput. Phys. 295, 261--284 (2015; Zbl 1349.76267) Full Text: DOI
Viquerat, J.; Scheid, C. A 3D curvilinear discontinuous Galerkin time-domain solver for nanoscale light-matter interactions. (English) Zbl 1320.78018 J. Comput. Appl. Math. 289, 37-50 (2015). MSC: 78M25 65M60 82D80 PDF BibTeX XML Cite \textit{J. Viquerat} and \textit{C. Scheid}, J. Comput. Appl. Math. 289, 37--50 (2015; Zbl 1320.78018) Full Text: DOI
Baghapour, Behzad; Esfahanian, Vahid; Torabzadeh, Mohammad; Darian, Hossein Mahmoodi A discontinuous Galerkin method with block cyclic reduction solver for simulating compressible flows on GPUs. (English) Zbl 1308.76232 Int. J. Comput. Math. 92, No. 1, 110-131 (2015). MSC: 76N15 74S05 65Y05 68W10 PDF BibTeX XML Cite \textit{B. Baghapour} et al., Int. J. Comput. Math. 92, No. 1, 110--131 (2015; Zbl 1308.76232) 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 PDF BibTeX XML Cite \textit{Ben. J. Zimmerman} and \textit{Z. J. Wang}, Comput. Fluids 101, 263--272 (2014; Zbl 1391.76378) Full Text: DOI
Wang, Li; Anderson, W. Kyle; Erwin, J. Taylor; Kapadia, Sagar Discontinuous Galerkin and Petrov Galerkin methods for compressible viscous flows. (English) Zbl 1391.76366 Comput. Fluids 100, 13-29 (2014). MSC: 76M10 65M60 PDF BibTeX XML Cite \textit{L. Wang} et al., Comput. Fluids 100, 13--29 (2014; Zbl 1391.76366) Full Text: DOI
Huynh, H. T.; Wang, Z. J.; Vincent, P. E. High-order methods for computational fluid dynamics: a brief review of compact differential formulations on unstructured grids. (English) Zbl 1390.65123 Comput. Fluids 98, 209-220 (2014). MSC: 65M70 65M60 PDF BibTeX XML Cite \textit{H. T. Huynh} et al., Comput. Fluids 98, 209--220 (2014; Zbl 1390.65123) Full Text: DOI
Xia, Yidong; Luo, Hong; Frisbey, Megan; Nourgaliev, Robert A set of parallel, implicit methods for a reconstructed discontinuous Galerkin method for compressible flows on 3D hybrid grids. (English) Zbl 1391.76370 Comput. Fluids 98, 134-151 (2014). MSC: 76M10 65M60 65M22 65Y05 76Nxx PDF BibTeX XML Cite \textit{Y. Xia} et al., Comput. Fluids 98, 134--151 (2014; Zbl 1391.76370) 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 PDF BibTeX XML Cite \textit{S. Premasuthan} et al., Comput. Fluids 98, 111--121 (2014; Zbl 1391.76488) Full Text: DOI
Bassi, F.; Ghidoni, A.; Perbellini, A.; Rebay, S.; Crivellini, A.; Franchina, N.; Savini, M. A high-order discontinuous Galerkin solver for the incompressible RANS and \(k\)-\(\omega\) turbulence model equations. (English) Zbl 1391.76301 Comput. Fluids 98, 54-68 (2014). MSC: 76M10 65M60 76F60 PDF BibTeX XML Cite \textit{F. Bassi} et al., Comput. Fluids 98, 54--68 (2014; Zbl 1391.76301) Full Text: DOI
Galbraith, Marshall C.; Benek, John A.; Orkwis, Paul D.; Turner, Mark G. A discontinuous Galerkin Chimera scheme. (English) Zbl 1391.76327 Comput. Fluids 98, 27-53 (2014). MSC: 76M10 76M20 65M60 65M06 PDF BibTeX XML Cite \textit{M. C. Galbraith} et al., Comput. Fluids 98, 27--53 (2014; Zbl 1391.76327) Full Text: DOI
Xia, Yidong; Luo, Hong; Nourgaliev, Robert An implicit Hermite WENO reconstruction-based discontinuous Galerkin method on tetrahedral grids. (English) Zbl 1390.65121 Comput. Fluids 96, 406-421 (2014). MSC: 65M60 65M50 PDF BibTeX XML Cite \textit{Y. Xia} et al., Comput. Fluids 96, 406--421 (2014; Zbl 1390.65121) Full Text: DOI
Schoenawa, Stefan; Hartmann, Ralf Discontinuous Galerkin discretization of the Reynolds-averaged Navier-Stokes equations with the shear-stress transport model. (English) Zbl 1349.76263 J. Comput. Phys. 262, 194-216 (2014). MSC: 76M10 65N30 76D05 PDF BibTeX XML Cite \textit{S. Schoenawa} and \textit{R. Hartmann}, J. Comput. Phys. 262, 194--216 (2014; Zbl 1349.76263) Full Text: DOI
Cockburn, Bernardo; Kao, Chiu-Yen; Reitich, Fernando An adaptive spectral/DG method for a reduced phase-space based level set approach to geometrical optics on curved elements. (English) Zbl 1349.78111 J. Comput. Phys. 259, 636-649 (2014). MSC: 78M25 PDF BibTeX XML Cite \textit{B. Cockburn} et al., J. Comput. Phys. 259, 636--649 (2014; Zbl 1349.78111) 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 PDF BibTeX XML Cite \textit{M. Yu} et al., J. Comput. Phys. 259, 70--95 (2014; Zbl 1349.65591) Full Text: DOI
Shi, Lei; Wang, Z. J.; Zhang, L. P.; Liu, Wei; Fu, Song A \(P_N P_M-CPR \) framework for hyperbolic conservation laws. (English) Zbl 1304.65200 J. Sci. Comput. 61, No. 2, 281-307 (2014). MSC: 65M08 35L65 65M06 65M60 PDF BibTeX XML Cite \textit{L. Shi} et al., J. Sci. Comput. 61, No. 2, 281--307 (2014; Zbl 1304.65200) Full Text: DOI
Tavelli, Maurizio; Dumbser, Michael A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes. (English) Zbl 1298.76120 Appl. Math. Comput. 234, 623-644 (2014). MSC: 76M10 65M60 76B15 PDF BibTeX XML Cite \textit{M. Tavelli} and \textit{M. Dumbser}, Appl. Math. Comput. 234, 623--644 (2014; Zbl 1298.76120) Full Text: DOI arXiv
Bassi, Francesco; Botti, Lorenzo; Colombo, Alessandro Agglomeration-based physical frame dG discretizations: an attempt to be mesh free. (English) Zbl 1291.65335 Math. Models Methods Appl. Sci. 24, No. 8, 1495-1539 (2014). MSC: 65N30 65N50 65N55 PDF BibTeX XML Cite \textit{F. Bassi} et al., Math. Models Methods Appl. Sci. 24, No. 8, 1495--1539 (2014; Zbl 1291.65335) Full Text: DOI
Caleffi, Valerio; Valiani, Alessandro A 2D local discontinuous Galerkin method for contaminant transport in channel bends. (English) Zbl 1391.76309 Comput. Fluids 88, 629-642 (2013). MSC: 76M10 76D05 65M60 76T20 PDF BibTeX XML Cite \textit{V. Caleffi} and \textit{A. Valiani}, Comput. Fluids 88, 629--642 (2013; Zbl 1391.76309) Full Text: DOI
Chassaing, Jean-Camille; Khelladi, Sofiane; Nogueira, Xesús Accuracy assessment of a high-order moving least squares finite volume method for compressible flows. (English) Zbl 1365.76144 Comput. Fluids 71, 41-53 (2013). MSC: 76M12 76Nxx PDF BibTeX XML Cite \textit{J.-C. Chassaing} et al., Comput. Fluids 71, 41--53 (2013; Zbl 1365.76144) Full Text: DOI
Toulorge, Thomas; Geuzaine, Christophe; Remacle, Jean-François; Lambrechts, Jonathan Robust untangling of curvilinear meshes. (English) Zbl 1349.65670 J. Comput. Phys. 254, 8-26 (2013). MSC: 65N50 65N30 PDF BibTeX XML Cite \textit{T. Toulorge} et al., J. Comput. Phys. 254, 8--26 (2013; Zbl 1349.65670) Full Text: DOI
Hu, Guanghui An adaptive finite volume method for 2D steady Euler equations with WENO reconstruction. (English) Zbl 1349.76478 J. Comput. Phys. 252, 591-605 (2013). MSC: 76M20 76M12 65N06 76G25 PDF BibTeX XML Cite \textit{G. Hu}, J. Comput. Phys. 252, 591--605 (2013; Zbl 1349.76478) Full Text: DOI
Williams, D. M.; Castonguay, P.; Vincent, P. E.; Jameson, A. Energy stable flux reconstruction schemes for advection-diffusion problems on triangles. (English) Zbl 1349.65528 J. Comput. Phys. 250, 53-76 (2013). MSC: 65M70 65M12 76F10 PDF BibTeX XML Cite \textit{D. M. Williams} et al., J. Comput. Phys. 250, 53--76 (2013; Zbl 1349.65528) Full Text: DOI
Chassaing, Jean-Camille; Nogueira, Xesús; Khelladi, Sofiane Moving Kriging reconstruction for high-order finite volume computation of compressible flows. (English) Zbl 1297.76110 Comput. Methods Appl. Mech. Eng. 253, 463-478 (2013). MSC: 76M12 65M08 PDF BibTeX XML Cite \textit{J.-C. Chassaing} et al., Comput. Methods Appl. Mech. Eng. 253, 463--478 (2013; Zbl 1297.76110) Full Text: DOI
Sevilla, Ruben; Hassan, Oubay; Morgan, Kenneth An analysis of the performance of a high-order stabilised finite element method for simulating compressible flows. (English) Zbl 1297.76105 Comput. Methods Appl. Mech. Eng. 253, 15-27 (2013). MSC: 76M10 76Nxx PDF BibTeX XML Cite \textit{R. Sevilla} et al., Comput. Methods Appl. Mech. Eng. 253, 15--27 (2013; Zbl 1297.76105) Full Text: DOI
Crivellini, Andrea; D’Alessandro, Valerio; Bassi, Francesco Assessment of a high-order discontinuous Galerkin method for incompressible three-dimensional Navier-Stokes equations: benchmark results for the flow past a sphere up to Re=500. (English) Zbl 1290.76022 Comput. Fluids 86, 442-458 (2013). MSC: 76D05 PDF BibTeX XML Cite \textit{A. Crivellini} et al., Comput. Fluids 86, 442--458 (2013; Zbl 1290.76022) Full Text: DOI
Česenek, Jan; Feistauer, Miloslav; Horáček, Jaromír; Kučera, Václav; Prokopová, Jaroslava Simulation of compressible viscous flow in time-dependent domains. (English) Zbl 1426.76233 Appl. Math. Comput. 219, No. 13, 7139-7150 (2013). MSC: 76M10 76M20 76N15 PDF BibTeX XML Cite \textit{J. Česenek} et al., Appl. Math. Comput. 219, No. 13, 7139--7150 (2013; Zbl 1426.76233) Full Text: DOI
Castonguay, P.; Williams, D. M.; Vincent, P. E.; Jameson, A. Energy stable flux reconstruction schemes for advection-diffusion problems. (English) Zbl 1286.65119 Comput. Methods Appl. Mech. Eng. 267, 400-417 (2013). MSC: 65M60 PDF BibTeX XML Cite \textit{P. Castonguay} et al., Comput. Methods Appl. Mech. Eng. 267, 400--417 (2013; Zbl 1286.65119) Full Text: DOI
Luo, Hong; Xia, Yidong; Spiegel, Seth; Nourgaliev, Robert; Jiang, Zonglin A reconstructed discontinuous Galerkin method based on a hierarchical WENO reconstruction for compressible flows on tetrahedral grids. (English) Zbl 1286.65125 J. Comput. Phys. 236, 477-492 (2013). MSC: 65M60 35Q31 76N99 76M25 PDF BibTeX XML Cite \textit{H. Luo} et al., J. Comput. Phys. 236, 477--492 (2013; Zbl 1286.65125) Full Text: DOI
Birken, Philipp; Gassner, Gregor; Haas, Mark; Munz, Claus-Dieter Preconditioning for modal discontinuous Galerkin methods for unsteady 3D Navier-Stokes equations. (English) Zbl 1426.76520 J. Comput. Phys. 240, 20-35 (2013). MSC: 76M25 76D05 PDF BibTeX XML Cite \textit{P. Birken} et al., J. Comput. Phys. 240, 20--35 (2013; Zbl 1426.76520) Full Text: DOI
Yu, Jian; Yan, Chao An artificial diffusivity discontinuous Galerkin scheme for discontinuous flows. (English) Zbl 1277.76050 Comput. Fluids 75, 56-71 (2013). MSC: 76M10 76D05 65M60 PDF BibTeX XML Cite \textit{J. Yu} and \textit{C. Yan}, Comput. Fluids 75, 56--71 (2013; Zbl 1277.76050) Full Text: DOI
Li, Liang; Lanteri, Stéphane; Perrussel, Ronan Numerical investigation of a high order hybridizable discontinuous Galerkin method for 2d time-harmonic Maxwell’s equations. (English) Zbl 1282.78007 COMPEL 32, No. 3, Article ID 17086464, 1112-1138 (2013). MSC: 78A25 65N30 78A45 PDF BibTeX XML Cite \textit{L. Li} et al., COMPEL 32, No. 3, Article ID 17086464, 1112--1138 (2013; Zbl 1282.78007) Full Text: DOI
Siebenborn, M.; Schulz, Volker; Schmidt, S. A curved-element unstructured discontinuous Galerkin method on GPUs for the Euler equations. (English) Zbl 1388.65108 Comput. Vis. Sci. 15, No. 2, 61-73 (2012). MSC: 65M60 65Y10 76M10 35Q31 PDF BibTeX XML Cite \textit{M. Siebenborn} et al., Comput. Vis. Sci. 15, No. 2, 61--73 (2012; Zbl 1388.65108) Full Text: DOI
Wang, Li; Anderson, W. Kyle Shape sensitivity analysis for the compressible Navier-Stokes equations via discontinuous Galerkin methods. (English) Zbl 1365.76131 Comput. Fluids 69, 93-107 (2012). MSC: 76M10 35Q30 65M60 PDF BibTeX XML Cite \textit{L. Wang} and \textit{W. K. Anderson}, Comput. Fluids 69, 93--107 (2012; Zbl 1365.76131) Full Text: DOI