High‐order CFD methods: current status and perspective
dc.contributor.author | Wang, Z.J. | en_US |
dc.contributor.author | Fidkowski, Krzysztof | en_US |
dc.contributor.author | Abgrall, Rémi | en_US |
dc.contributor.author | Bassi, Francesco | en_US |
dc.contributor.author | Caraeni, Doru | en_US |
dc.contributor.author | Cary, Andrew | en_US |
dc.contributor.author | Deconinck, Herman | en_US |
dc.contributor.author | Hartmann, Ralf | en_US |
dc.contributor.author | Hillewaert, Koen | en_US |
dc.contributor.author | Huynh, H.T. | en_US |
dc.contributor.author | Kroll, Norbert | en_US |
dc.contributor.author | May, Georg | en_US |
dc.contributor.author | Persson, Per‐olof | en_US |
dc.contributor.author | Leer, Bram | en_US |
dc.contributor.author | Visbal, Miguel | en_US |
dc.date.accessioned | 2013-06-18T18:33:31Z | |
dc.date.available | 2014-09-02T14:12:52Z | en_US |
dc.date.issued | 2013-07-20 | en_US |
dc.identifier.citation | Wang, Z.J.; Fidkowski, Krzysztof; Abgrall, Rémi ; Bassi, Francesco; Caraeni, Doru; Cary, Andrew; Deconinck, Herman; Hartmann, Ralf; Hillewaert, Koen; Huynh, H.T.; Kroll, Norbert; May, Georg; Persson, Per‐olof ; Leer, Bram; Visbal, Miguel (2013). "Highâ order CFD methods: current status and perspective." International Journal for Numerical Methods in Fluids 72(8): 811-845. <http://hdl.handle.net/2027.42/98401> | en_US |
dc.identifier.issn | 0271-2091 | en_US |
dc.identifier.issn | 1097-0363 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/98401 | |
dc.publisher | Wiley Periodicals, Inc. | en_US |
dc.publisher | SIAM | en_US |
dc.subject.other | High‐Order Methods | en_US |
dc.subject.other | CFD | en_US |
dc.title | High‐order CFD methods: current status and perspective | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/98401/1/fld3767.pdf | |
dc.identifier.doi | 10.1002/fld.3767 | en_US |
dc.identifier.source | International Journal for Numerical Methods in Fluids | en_US |
dc.identifier.citedreference | Cook P, McDonald M, Firmin M. Aerofoil RAE 2822 – pressure distributions, and boundary layer and wake measurements, experimental data base for computer program assessment. AGARD Report AR‐138, Advanced Guidance for Alliance Research and Development, part of NATO Science & Technology Organization, 1979. | en_US |
dc.identifier.citedreference | Barth T, Frederickson P. High‐order solution of the Euler equations on unstructured grids using quadratic reconstruction. AIAA Paper 90‐0013, American Institute of Aeronautics and Astronautics, 1990. | en_US |
dc.identifier.citedreference | Cockburn B, Shu CW. TVB Runge‐Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework. Mathematics of Computation 1989; 52: 411 – 435. | en_US |
dc.identifier.citedreference | Bassi F, Rebay S. A high–order discontinuous finite element method for the numerical solution of the compressible Navier‐Stokes equations. Journal of Computational Physics 1997; 131: 267 – 279. | en_US |
dc.identifier.citedreference | Hughes T. Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier‐Stokes equations. International Journal of Numerical Methods in Fluids 1987; 7: 1261 – 1275. | en_US |
dc.identifier.citedreference | Huynh H. A flux reconstruction approach to high‐order schemes including discontinuous Galerkin methods. AIAA Paper 2007‐4079, American Institute of Aeronautics and Astronautics, 2007. | en_US |
dc.identifier.citedreference | Kopriva D, Kolias J. A conservative staggered‐grid Chebyshev multidomain method for compressible flows. Journal of Computational Physics 1996; 125: 244 – 261. | en_US |
dc.identifier.citedreference | Liu Y, Vinokur M, Wang Z. Discontinuous spectral difference method for conservation laws on unstructured grids. Journal of Computational Physics 2006; 216: 780 – 801. | en_US |
dc.identifier.citedreference | Patera A. A spectral element method for fluid dynamics: laminar flow in a channel expansion. Journal of Computational Physics 1984; 54: 468 – 488. | en_US |
dc.identifier.citedreference | Reed W, Hill T. Triangular mesh methods for the neutron transport equation. Los Alamos Scientific Laboratory Technical Report LA‐UR‐73‐479, Los Alamos Scientific Laboratory, 1973. | en_US |
dc.identifier.citedreference | Ekaterinaris J. High‐order accurate, low numerical diffusion methods for aerodynamics. Progress in Aerospace Sciences 2005; 41: 192 – 300. | en_US |
dc.identifier.citedreference | Wang Z. High–order methods for the Euler and Navier‐Stokes equations on unstructured grids. Progress in Aerospace Sciences 2007; 43: 1 – 41. | en_US |
dc.identifier.citedreference | Vassberg J. Expectations for computational fluid dynamics. Journal of Computational Fluid Dynamics 2005; 19 ( 8 ): 549 – 558. | en_US |
dc.identifier.citedreference | Wagner C, Hüttl T, Sagaut P. Large‐eddy Simulation for Acoustics. Cambridge University Press: Cambridge, United Kingdom, 2007. | en_US |
dc.identifier.citedreference | Kroll N, Bieler H, Deconinck H, Couaillier V, van der Ven H, Sorensen K. ADIGMA – A European Initiative on the Development of Adaptive Higher‐order Variational Methods for Aerospace Applications, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Vol. 113. Springer: Berlin, Heidelberg, 2010. | en_US |
dc.identifier.citedreference | DLR Germany. TauBench ‐ IPACS. Available from: http://www.ipacs‐benchmark.org [Accessed on 12/24/2012]. | en_US |
dc.identifier.citedreference | Chiocchia G. Exact solutions to transonic and supersonic flows. AGARD Report AR‐211, Advanced Guidance for Alliance Research and Development, part of NATO Science & Technology Organization, 1985. | en_US |
dc.identifier.citedreference | Landau L, Lifshitz E. Fluid mechanics, 2nd ed., Course in Theoretical Physics. Elsevier: Amsterdam, the Netherlands, 1987. | en_US |
dc.identifier.citedreference | Riley A, Lowson M. Development of a three dimensional free shear layer. Journal of Fluid Mechanics 1998; 369: 49 – 89. | en_US |
dc.identifier.citedreference | Klaij C, van der Vegt J, van der Ven H. Space‐time discontinuous Galerkin method for the compressible Navier‐Stokes equations. Journal of Computational Physics 2006; 217: 589 – 611. | en_US |
dc.identifier.citedreference | Leicht T, Hartmann R. Error estimation and anisotropic mesh refinement for 3D laminar aerodynamic flow simulations. Journal of Computational Physics 2010; 29 ( 19 ): 7344 – 7360. | en_US |
dc.identifier.citedreference | Morrison JH, Hemsch MJ. Statistical analysis of CFD solutions from the third AIAA drag prediction workshop. AIAA Paper 2007‐254, American Institute of Aeronautics and Astronautics, 2007. | en_US |
dc.identifier.citedreference | Selig M, Guglielmo J, Broeren A, Giguère P. Summary of Low‐speed Airfoil Data Vol. 1. SoarTech Publications: Virginia Beach, Virginia, 1995. | en_US |
dc.identifier.citedreference | Williamson J. Low‐storage Runge‐Kutta schemes. Journal of Computational Physics 1980; 35: 48 – 56. | en_US |
dc.identifier.citedreference | van Rees WM, Leonard A, Pullin DI, Koumoutsakos P. A comparison of vortex and pseudo‐spectral methods for the simulation of periodic vortical flows at high Reynolds numbers. Journal of Computational Physics 2011; 230 ( 8 ): 2794 – 2805. DOI: 10.1016/j.jcp.2010.11.031. | en_US |
dc.identifier.citedreference | Kim J, Lee D. Optimized compact finite difference schemes with maximum resolution. AIAA Journal 1996; 34 ( 5 ): 887 – 893. | en_US |
dc.identifier.citedreference | Ramboer J, Broeckhoven T, Smirnov S, Lacor C. Optimization of time integration schemes coupled to spatial discretization for use in CAA applications. Journal of Computational Physics 2006; 213 ( 2 ): 777 – 802. | en_US |
dc.identifier.citedreference | Hu F, Hussani M, Manthey J. Low‐dissipation and low‐dispersion Runge‐Kutta schemes for computational acoustics. Journal of Computational Physics 1996; 124: 177 – 191. | en_US |
dc.identifier.citedreference | Geuzaine C, Remacle JF. Gmsh: a three‐dimensional finite element mesh generator with built‐in pre‐ and post‐processing facilities. International Journal for Numerical Methods in Engineering 2009; 79 ( 11 ): 1309 – 1331. | en_US |
dc.identifier.citedreference | Fidkowski KJ, Darmofal DL. Review of output‐based error estimation and mesh adaptation in computational fluid dynamics. American Institute of Aeronautics and Astronautics Journal 2011; 49 ( 4 ): 673 – 694. | en_US |
dc.identifier.citedreference | Gottlieb S, Orszag A. Numerical Analysis of Spectral Methods: Theory and Applications. SIAM: Philadelphia, 1977. | en_US |
dc.identifier.citedreference | Godunov S. A finite‐difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics. Matematicheski Sbornik 1959; 47: 271 – 306. | en_US |
dc.identifier.citedreference | Harten A, Engquist B, Osher S, Chakravarthy S. Uniformly high order essentially non‐oscillatory schemes III. Journal of Computational Physics 1987; 71: 231 – 303. | en_US |
dc.identifier.citedreference | Lele S. Compact finite difference schemes with spectral‐like resolution. Journal of Computational Physics 1992; 103: 16 – 42. | en_US |
dc.identifier.citedreference | Liu X, Osher S, Chan T. Weighted essentially non‐oscillatory schemes. Journal of Computational Physics 1994; 115: 200 – 212. | en_US |
dc.identifier.citedreference | Tam C, Webb J. Dispersion‐relationpreserving finite difference schemes for computational acoustics. Journal of Computational Physics 1993; 107: 262 – 281. | en_US |
dc.identifier.citedreference | Leer BV. Towards the ultimate conservative difference scheme V. A second order sequel to Godunov's method. Journal of Computational Physics 1979; 32: 101 – 136. | en_US |
dc.identifier.citedreference | Visbal M, Gaitonde D. On the use of higher‐order finite‐difference schemes on curvilinear and deforming meshes. Journal of Computational Physics 2002; 181 ( 1 ): 155 – 185. | en_US |
dc.identifier.citedreference | Abgrall R, Larat A, Ricchiuto M. Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes. Journal of Computational Physics 2011; 230 ( 11 ): 4103 – 4136. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.