1965d9f74SJames Wright@article{brown2010, 2965d9f74SJames Wright adsurl = {https://doi.org/10.1007/s10915-010-9396-8}, 3965d9f74SJames Wright author = {{Brown}, J.}, 4965d9f74SJames Wright journal = {Journal of Scientific Computing}, 5965d9f74SJames Wright volume = 45, 6965d9f74SJames Wright month = oct, 7965d9f74SJames Wright title = {{Efficient Nonlinear Solvers for Nodal High-Order Finite Elements in 3D}}, 8965d9f74SJames Wright year = 2010, 9965d9f74SJames Wright doi = {10.1007/s10915-010-9396-8} 10965d9f74SJames Wright} 11965d9f74SJames Wright 12965d9f74SJames Wright@article{giraldoetal2010, 13965d9f74SJames Wright author = {Giraldo, F. X. and Restelli, M. and Läuter, M.}, 14965d9f74SJames Wright title = {Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling}, 15965d9f74SJames Wright journal = {SIAM Journal on Scientific Computing}, 16965d9f74SJames Wright volume = {32}, 17965d9f74SJames Wright number = {6}, 18965d9f74SJames Wright pages = {3394--3425}, 19965d9f74SJames Wright year = {2010}, 20965d9f74SJames Wright doi = {10.1137/090775889} 21965d9f74SJames Wright} 22965d9f74SJames Wright 23965d9f74SJames Wright@article{hughesetal2010, 24965d9f74SJames Wright title = {Stabilized Methods for Compressible Flows}, 25965d9f74SJames Wright author = {Hughes, Thomas J R and Scovazzi, Guglielmo and Tezduyar, Tayfun E}, 26965d9f74SJames Wright journal = {Journal of Scientific Computing}, 27965d9f74SJames Wright volume = {43}, 28965d9f74SJames Wright pages = {343--368}, 29965d9f74SJames Wright year = {2010}, 30965d9f74SJames Wright doi = {10.1007/s10915-008-9233-5} 31965d9f74SJames Wright} 32965d9f74SJames Wright 33965d9f74SJames Wright@book{hughes2012finite, 34965d9f74SJames Wright title = {The finite element method: linear static and dynamic finite element analysis}, 35965d9f74SJames Wright author = {Hughes, Thomas JR}, 36965d9f74SJames Wright year = {2012}, 37965d9f74SJames Wright publisher = {Courier Corporation} 38965d9f74SJames Wright} 39965d9f74SJames Wright 40965d9f74SJames Wright@article{libceed-joss-paper, 41965d9f74SJames Wright author = {Jed Brown and Ahmad Abdelfattah and Valeria Barra and Natalie Beams and Jean Sylvain Camier and Veselin Dobrev and Yohann Dudouit and Leila Ghaffari and Tzanio Kolev and David Medina and Will Pazner and Thilina Ratnayaka and Jeremy Thompson and Stan Tomov}, 42965d9f74SJames Wright title = {{libCEED}: Fast algebra for high-order element-based discretizations}, 43965d9f74SJames Wright journal = {Journal of Open Source Software}, 44965d9f74SJames Wright year = {2021}, 45965d9f74SJames Wright publisher = {The Open Journal}, 46965d9f74SJames Wright volume = {6}, 47965d9f74SJames Wright number = {63}, 48965d9f74SJames Wright pages = {2945}, 49965d9f74SJames Wright doi = {10.21105/joss.02945} 50965d9f74SJames Wright} 51965d9f74SJames Wright 52965d9f74SJames Wright@article{papanastasiou1992outflow, 53965d9f74SJames Wright title = {A new outflow boundary condition}, 54965d9f74SJames Wright author = {Papanastasiou, TC and Malamataris, N and Ellwood K}, 55965d9f74SJames Wright year = {1992}, 56965d9f74SJames Wright month = mar, 57965d9f74SJames Wright pages = {587--608}, 58965d9f74SJames Wright volume = {14}, 59965d9f74SJames Wright journal = {International Journal for Numerical Methods in Fluids}, 60965d9f74SJames Wright doi = {10.1002/fld.1650140506} 61965d9f74SJames Wright} 62965d9f74SJames Wright 63965d9f74SJames Wright@article{straka1993numerical, 64965d9f74SJames Wright title = {Numerical solutions of a non-linear density current: A benchmark solution and comparisons}, 65965d9f74SJames Wright author = {Straka, Jerry M and Wilhelmson, Robert B and Wicker, Louis J and Anderson, John R and Droegemeier, Kelvin K}, 66965d9f74SJames Wright journal = {International Journal for Numerical Methods in Fluids}, 67965d9f74SJames Wright volume = {17}, 68965d9f74SJames Wright number = {1}, 69965d9f74SJames Wright pages = {1--22}, 70965d9f74SJames Wright year = {1993}, 71965d9f74SJames Wright publisher = {Wiley Online Library}, 72965d9f74SJames Wright doi = {10.1002/fld.1650170103} 73965d9f74SJames Wright} 74965d9f74SJames Wright 75965d9f74SJames Wright@article{williams2009roofline, 76965d9f74SJames Wright title = {Roofline: an insightful visual performance model for multicore architectures}, 77965d9f74SJames Wright author = {Williams, Samuel and Waterman, Andrew and Patterson, David}, 78965d9f74SJames Wright journal = {Communications of the ACM}, 79965d9f74SJames Wright volume = {52}, 80965d9f74SJames Wright number = {4}, 81965d9f74SJames Wright pages = {65--76}, 82965d9f74SJames Wright year = {2009}, 83965d9f74SJames Wright publisher = {ACM New York, NY, USA}, 84965d9f74SJames Wright doi = {10.1145/1498765.1498785} 85965d9f74SJames Wright} 86965d9f74SJames Wright 87965d9f74SJames Wright@article{zhang2011verification, 88965d9f74SJames Wright title = {On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes}, 89965d9f74SJames Wright author = {Zhang, Rui and Zhang, Mengping and Shu, Chi-Wang}, 90965d9f74SJames Wright volume = {9}, 91965d9f74SJames Wright doi = {10.4208/cicp.291109.080410s}, 92965d9f74SJames Wright number = {3}, 93965d9f74SJames Wright journal = {Communications in Computational Physics}, 94965d9f74SJames Wright publisher = {Cambridge University Press}, 95965d9f74SJames Wright year = {2011}, 96965d9f74SJames Wright pages = {807--827} 97965d9f74SJames Wright} 98965d9f74SJames Wright 99965d9f74SJames Wright@article{whiting2003hierarchical, 100965d9f74SJames Wright title = {Hierarchical basis for stabilized finite element methods for compressible flows}, 101965d9f74SJames Wright author = {Whiting, Christian H and Jansen, Kenneth E and Dey, Saikat}, 102965d9f74SJames Wright journal = {Computer Methods in Applied Mechanics and Engineering}, 103965d9f74SJames Wright volume = {192}, 104965d9f74SJames Wright number = {47-48}, 105965d9f74SJames Wright pages = {5167--5185}, 106965d9f74SJames Wright year = {2003}, 107965d9f74SJames Wright publisher = {Elsevier}, 108965d9f74SJames Wright doi = {10.1016/j.cma.2003.07.011} 109965d9f74SJames Wright} 110965d9f74SJames Wright 111965d9f74SJames Wright@book{toro2009, 112965d9f74SJames Wright title = {Riemann Solvers and Numerical Methods for Fluid Dynamics}, 113965d9f74SJames Wright author = {Toro, Eleuterio F.}, 114965d9f74SJames Wright year = {2009}, 115965d9f74SJames Wright publisher = {Springer, Berlin, Heidelberg}, 116965d9f74SJames Wright isbn = {978-3-540-49834-6} 117965d9f74SJames Wright} 118965d9f74SJames Wright 119965d9f74SJames Wright@misc{sodshocktubewiki, 120965d9f74SJames Wright title = {Sod shock tube}, 121965d9f74SJames Wright howpublished = {\url{https://en.wikipedia.org/wiki/Sod_shock_tube}}, 122965d9f74SJames Wright note = {Accessed: 01-30-2022} 123965d9f74SJames Wright} 124965d9f74SJames Wright 125965d9f74SJames Wright@article{tezduyar2007yzb, 126965d9f74SJames Wright title = {{SUPG} finite element computation of inviscid supersonic flows with $YZ\beta$ shock capturing}, 127965d9f74SJames Wright author = {Tezduyar, Tayfun E and Senga, Masayoshi}, 128965d9f74SJames Wright journal = {Computers and Fluids}, 129965d9f74SJames Wright volume = {36}, 130965d9f74SJames Wright number = {1}, 131965d9f74SJames Wright pages = {147-159}, 132965d9f74SJames Wright year = {2007}, 133965d9f74SJames Wright publisher = {Elsevier}, 134965d9f74SJames Wright doi = {10.1016/j.compfluid.2005.07.009} 135965d9f74SJames Wright} 136965d9f74SJames Wright 137965d9f74SJames Wright@phdthesis{whitingStabilizedFEM1999, 138965d9f74SJames Wright title = {Stabilized {{Finite Element Methods}} for {{Fluid Dynamics}} Using a {{Hierarchical Basis}}}, 139965d9f74SJames Wright author = {Whiting, Christian H}, 140965d9f74SJames Wright year = {1999}, 141965d9f74SJames Wright address = {{Troy, NY}}, 142965d9f74SJames Wright langid = {english}, 143965d9f74SJames Wright school = {Rennselear Polytechnic Institute} 144965d9f74SJames Wright} 145965d9f74SJames Wright 146965d9f74SJames Wright@article{shurSTG2014, 147965d9f74SJames Wright title = {Synthetic Turbulence Generators for {RANS-LES} Interfaces in Zonal Simulations of Aerodynamic and Aeroacoustic Problems}, 148965d9f74SJames Wright author = {Shur, Michael L. and Spalart, Philippe R. and Strelets, Michael K. and Travin, Andrey K.}, 149965d9f74SJames Wright year = {2014}, 150965d9f74SJames Wright journal = {Flow, Turbulence and Combustion}, 151965d9f74SJames Wright volume = {93}, 152965d9f74SJames Wright number = {1}, 153965d9f74SJames Wright pages = {63--92}, 154965d9f74SJames Wright doi = {10.1007/s10494-014-9534-8}, 155965d9f74SJames Wright langid = {english} 156965d9f74SJames Wright} 157965d9f74SJames Wright 158965d9f74SJames Wright@inproceedings{mengaldoCompressibleBC2014, 159965d9f74SJames Wright title = {A Guide to the Implementation of Boundary Conditions in Compact High-Order Methods for Compressible Aerodynamics}, 160965d9f74SJames Wright booktitle = {{{AIAA Aviation}} 2014}, 161965d9f74SJames Wright author = {Mengaldo, Gianmarco and De Grazia, Daniele and Peiro, Joaquim and Farrington, Antony and Witherden, Freddie and Vincent, Peter and Sherwin, Spencer}, 162965d9f74SJames Wright year = {2014}, 163965d9f74SJames Wright month = jun, 164965d9f74SJames Wright publisher = {{AIAA}}, 165965d9f74SJames Wright address = {{Atlanta}}, 166965d9f74SJames Wright doi = {10.2514/6.2014-2923} 167965d9f74SJames Wright} 168965d9f74SJames Wright 169965d9f74SJames Wright@article{shakib1991femcfd, 170965d9f74SJames Wright title = {A new finite element formulation for computational fluid dynamics: {X}. The compressible {Euler} and {Navier-Stokes} equations}, 171965d9f74SJames Wright author = {Shakib, Farzin and Hughes, Thomas JR and Johan, Zden{\v{e}}k}, 172965d9f74SJames Wright journal = {Computer Methods in Applied Mechanics and Engineering}, 173965d9f74SJames Wright volume = {89}, 174965d9f74SJames Wright number = {1-3}, 175965d9f74SJames Wright pages = {141--219}, 176965d9f74SJames Wright year = {1991}, 177965d9f74SJames Wright publisher = {Elsevier}, 178965d9f74SJames Wright doi = {10.1016/0045-7825(91)90041-4} 179965d9f74SJames Wright} 180965d9f74SJames Wright 181965d9f74SJames Wright@incollection{colonius2023turbBC, 182965d9f74SJames Wrighttitle = {Chapter 8 - Boundary conditions for turbulence simulation}, 183965d9f74SJames Wrighteditor = {Robert D. Moser}, 184965d9f74SJames Wrightbooktitle = {Numerical Methods in Turbulence Simulation}, 185965d9f74SJames Wrightpublisher = {Academic Press}, 186965d9f74SJames Wrightpages = {319-357}, 187965d9f74SJames Wrightyear = {2023}, 188965d9f74SJames Wrightseries = {Numerical Methods in Turbulence}, 189965d9f74SJames Wrightisbn = {978-0-323-91144-3}, 190965d9f74SJames Wrightdoi = {10.1016/B978-0-32-391144-3.00014-0}, 191965d9f74SJames Wrightauthor = {Tim Colonius}, 192965d9f74SJames Wrightkeywords = {Turbulence simulation, Boundary conditions, Nonreflecting boundary conditions, Inflow–outflow boundary conditions}, 193965d9f74SJames Wrightabstract = {Physically realistic, mathematically well-posed boundary conditions (BC) are needed to close the system of partial differential equations representing a turbulent flow. BCs play a key role in establishing physically meaningful simulations. There is an interplay between the choice and implementation of BCs and the underlying discretization method. It is important to ensure that any artifacts of discretization or numerical parameters have controllable impacts on the turbulence. The aims of this chapter are review strategies for posing BCs for the incompressible and compressible Navier–Stokes equations, and to arm the student with “good” boundary conditions, understand what the existing techniques can and cannot do, and to provide some tools for assessing their impact on the quality of the turbulence simulation.} 194965d9f74SJames Wright} 195965d9f74SJames Wright 196965d9f74SJames Wright@book{popeTurbulentFlows2000, 197965d9f74SJames Wright title={Turbulent Flows}, 198965d9f74SJames Wright author={Pope, Stephen B}, 199965d9f74SJames Wright year={2000}, 200965d9f74SJames Wright publisher={Cambridge University Press}, 201965d9f74SJames Wright isbn={9780521598866} 202965d9f74SJames Wright} 203965d9f74SJames Wright 204965d9f74SJames Wright@misc{prakashDDSGSAnisotropic2022, 205965d9f74SJames Wright title = {Invariant Data-driven Subgrid Stress Modeling on Anisotropic Grids for Large Eddy Simulation}, 206965d9f74SJames Wright author = {Prakash, Aviral and Jansen, Kenneth E. and Evans, John A.}, 207965d9f74SJames Wright year = {2022}, 208965d9f74SJames Wright number = {arXiv:2212.00332}, 209965d9f74SJames Wright eprint = {arXiv:2212.00332}, 210965d9f74SJames Wright publisher = {{arXiv}}, 211965d9f74SJames Wright urldate = {2023-01-29}, 212965d9f74SJames Wright archiveprefix = {arxiv}, 213965d9f74SJames Wright} 214965d9f74SJames Wright 215965d9f74SJames Wright@article{prakashDDSGS2022, 216965d9f74SJames Wright title = {Invariant Data-Driven Subgrid Stress Modeling in the Strain-Rate Eigenframe for Large Eddy Simulation}, 217965d9f74SJames Wright author = {Prakash, Aviral and Jansen, Kenneth E. and Evans, John A.}, 218965d9f74SJames Wright year = {2022}, 219965d9f74SJames Wright month = sep, 220965d9f74SJames Wright journal = {Computer Methods in Applied Mechanics and Engineering}, 221965d9f74SJames Wright volume = {399}, 222965d9f74SJames Wright doi = {10.1016/j.cma.2022.115457}, 223965d9f74SJames Wright} 224965d9f74SJames Wright 225965d9f74SJames Wright@article{germanoDiffFilterLES1986, 226965d9f74SJames Wright title = {Differential Filters for the Large Eddy Numerical Simulation of Turbulent Flows}, 227965d9f74SJames Wright author = {Germano, M.}, 228965d9f74SJames Wright year = {1986}, 229965d9f74SJames Wright journal = {The Physics of Fluids}, 230965d9f74SJames Wright volume = {29}, 231965d9f74SJames Wright number = {6}, 232965d9f74SJames Wright pages = {1755--1757}, 233965d9f74SJames Wright publisher = {{American Institute of Physics}}, 234965d9f74SJames Wright doi = {10.1063/1.865649}, 235965d9f74SJames Wright} 236965d9f74SJames Wright 237965d9f74SJames Wright@article{bullExplicitFilteringExact2016, 238965d9f74SJames Wright title = {Explicit Filtering and Exact Reconstruction of the Sub-Filter Stresses in Large Eddy Simulation}, 239965d9f74SJames Wright author = {Bull, Jonathan R. and Jameson, Antony}, 240965d9f74SJames Wright year = {2016}, 241965d9f74SJames Wright journal = {Journal of Computational Physics}, 242965d9f74SJames Wright volume = {306}, 243965d9f74SJames Wright pages = {117--136}, 244965d9f74SJames Wright doi = {10.1016/j.jcp.2015.11.037}, 245965d9f74SJames Wright urldate = {2023-04-07}, 246965d9f74SJames Wright} 247965d9f74SJames Wright 248965d9f74SJames Wright@article{vandriestWallDamping1956, 249965d9f74SJames Wright title = {On Turbulent Flow Near a Wall}, 250965d9f74SJames Wright author = {Van Driest, E. R.}, 251965d9f74SJames Wright year = {1956}, 252965d9f74SJames Wright month = nov, 253965d9f74SJames Wright journal = {Journal of the Aeronautical Sciences}, 254965d9f74SJames Wright volume = {23}, 255965d9f74SJames Wright number = {11}, 256965d9f74SJames Wright pages = {1007--1011}, 257965d9f74SJames Wright publisher = {{American Institute of Aeronautics and Astronautics}}, 258*cbdfeaf4SJames Wright doi = {10.2514/8.3713}, 259965d9f74SJames Wright urldate = {2023-04-08}, 260*cbdfeaf4SJames Wright} 261*cbdfeaf4SJames Wright 262*cbdfeaf4SJames Wright@article{jansenDiffFluxProjection1999, 263*cbdfeaf4SJames Wright title = {A Better Consistency for Low-Order Stabilized Finite Element Methods}, 264*cbdfeaf4SJames Wright author = {Jansen, Kenneth E. and Collis, S. Scott and Whiting, Christian and Shakib, Farzin}, 265*cbdfeaf4SJames Wright year = {1999}, 266*cbdfeaf4SJames Wright month = may, 267*cbdfeaf4SJames Wright journal = {Computer Methods in Applied Mechanics and Engineering}, 268*cbdfeaf4SJames Wright volume = {174}, 269*cbdfeaf4SJames Wright number = {1-2}, 270*cbdfeaf4SJames Wright pages = {153--170}, 271*cbdfeaf4SJames Wright issn = {00457825}, 272*cbdfeaf4SJames Wright doi = {10.1016/s0045-7825(98)00284-9}, 273965d9f74SJames Wright} 274