1*965d9f74SJames Wright@article{brown2010, 2*965d9f74SJames Wright adsurl = {https://doi.org/10.1007/s10915-010-9396-8}, 3*965d9f74SJames Wright author = {{Brown}, J.}, 4*965d9f74SJames Wright journal = {Journal of Scientific Computing}, 5*965d9f74SJames Wright volume = 45, 6*965d9f74SJames Wright month = oct, 7*965d9f74SJames Wright title = {{Efficient Nonlinear Solvers for Nodal High-Order Finite Elements in 3D}}, 8*965d9f74SJames Wright year = 2010, 9*965d9f74SJames Wright doi = {10.1007/s10915-010-9396-8} 10*965d9f74SJames Wright} 11*965d9f74SJames Wright 12*965d9f74SJames Wright@article{giraldoetal2010, 13*965d9f74SJames Wright author = {Giraldo, F. X. and Restelli, M. and Läuter, M.}, 14*965d9f74SJames Wright title = {Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling}, 15*965d9f74SJames Wright journal = {SIAM Journal on Scientific Computing}, 16*965d9f74SJames Wright volume = {32}, 17*965d9f74SJames Wright number = {6}, 18*965d9f74SJames Wright pages = {3394--3425}, 19*965d9f74SJames Wright year = {2010}, 20*965d9f74SJames Wright doi = {10.1137/090775889} 21*965d9f74SJames Wright} 22*965d9f74SJames Wright 23*965d9f74SJames Wright@article{hughesetal2010, 24*965d9f74SJames Wright title = {Stabilized Methods for Compressible Flows}, 25*965d9f74SJames Wright author = {Hughes, Thomas J R and Scovazzi, Guglielmo and Tezduyar, Tayfun E}, 26*965d9f74SJames Wright journal = {Journal of Scientific Computing}, 27*965d9f74SJames Wright volume = {43}, 28*965d9f74SJames Wright pages = {343--368}, 29*965d9f74SJames Wright year = {2010}, 30*965d9f74SJames Wright doi = {10.1007/s10915-008-9233-5} 31*965d9f74SJames Wright} 32*965d9f74SJames Wright 33*965d9f74SJames Wright@book{hughes2012finite, 34*965d9f74SJames Wright title = {The finite element method: linear static and dynamic finite element analysis}, 35*965d9f74SJames Wright author = {Hughes, Thomas JR}, 36*965d9f74SJames Wright year = {2012}, 37*965d9f74SJames Wright publisher = {Courier Corporation} 38*965d9f74SJames Wright} 39*965d9f74SJames Wright 40*965d9f74SJames Wright@article{libceed-joss-paper, 41*965d9f74SJames 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}, 42*965d9f74SJames Wright title = {{libCEED}: Fast algebra for high-order element-based discretizations}, 43*965d9f74SJames Wright journal = {Journal of Open Source Software}, 44*965d9f74SJames Wright year = {2021}, 45*965d9f74SJames Wright publisher = {The Open Journal}, 46*965d9f74SJames Wright volume = {6}, 47*965d9f74SJames Wright number = {63}, 48*965d9f74SJames Wright pages = {2945}, 49*965d9f74SJames Wright doi = {10.21105/joss.02945} 50*965d9f74SJames Wright} 51*965d9f74SJames Wright 52*965d9f74SJames Wright@article{papanastasiou1992outflow, 53*965d9f74SJames Wright title = {A new outflow boundary condition}, 54*965d9f74SJames Wright author = {Papanastasiou, TC and Malamataris, N and Ellwood K}, 55*965d9f74SJames Wright year = {1992}, 56*965d9f74SJames Wright month = mar, 57*965d9f74SJames Wright pages = {587--608}, 58*965d9f74SJames Wright volume = {14}, 59*965d9f74SJames Wright journal = {International Journal for Numerical Methods in Fluids}, 60*965d9f74SJames Wright doi = {10.1002/fld.1650140506} 61*965d9f74SJames Wright} 62*965d9f74SJames Wright 63*965d9f74SJames Wright@article{straka1993numerical, 64*965d9f74SJames Wright title = {Numerical solutions of a non-linear density current: A benchmark solution and comparisons}, 65*965d9f74SJames Wright author = {Straka, Jerry M and Wilhelmson, Robert B and Wicker, Louis J and Anderson, John R and Droegemeier, Kelvin K}, 66*965d9f74SJames Wright journal = {International Journal for Numerical Methods in Fluids}, 67*965d9f74SJames Wright volume = {17}, 68*965d9f74SJames Wright number = {1}, 69*965d9f74SJames Wright pages = {1--22}, 70*965d9f74SJames Wright year = {1993}, 71*965d9f74SJames Wright publisher = {Wiley Online Library}, 72*965d9f74SJames Wright doi = {10.1002/fld.1650170103} 73*965d9f74SJames Wright} 74*965d9f74SJames Wright 75*965d9f74SJames Wright@article{williams2009roofline, 76*965d9f74SJames Wright title = {Roofline: an insightful visual performance model for multicore architectures}, 77*965d9f74SJames Wright author = {Williams, Samuel and Waterman, Andrew and Patterson, David}, 78*965d9f74SJames Wright journal = {Communications of the ACM}, 79*965d9f74SJames Wright volume = {52}, 80*965d9f74SJames Wright number = {4}, 81*965d9f74SJames Wright pages = {65--76}, 82*965d9f74SJames Wright year = {2009}, 83*965d9f74SJames Wright publisher = {ACM New York, NY, USA}, 84*965d9f74SJames Wright doi = {10.1145/1498765.1498785} 85*965d9f74SJames Wright} 86*965d9f74SJames Wright 87*965d9f74SJames Wright@article{zhang2011verification, 88*965d9f74SJames Wright title = {On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes}, 89*965d9f74SJames Wright author = {Zhang, Rui and Zhang, Mengping and Shu, Chi-Wang}, 90*965d9f74SJames Wright volume = {9}, 91*965d9f74SJames Wright doi = {10.4208/cicp.291109.080410s}, 92*965d9f74SJames Wright number = {3}, 93*965d9f74SJames Wright journal = {Communications in Computational Physics}, 94*965d9f74SJames Wright publisher = {Cambridge University Press}, 95*965d9f74SJames Wright year = {2011}, 96*965d9f74SJames Wright pages = {807--827} 97*965d9f74SJames Wright} 98*965d9f74SJames Wright 99*965d9f74SJames Wright@article{whiting2003hierarchical, 100*965d9f74SJames Wright title = {Hierarchical basis for stabilized finite element methods for compressible flows}, 101*965d9f74SJames Wright author = {Whiting, Christian H and Jansen, Kenneth E and Dey, Saikat}, 102*965d9f74SJames Wright journal = {Computer Methods in Applied Mechanics and Engineering}, 103*965d9f74SJames Wright volume = {192}, 104*965d9f74SJames Wright number = {47-48}, 105*965d9f74SJames Wright pages = {5167--5185}, 106*965d9f74SJames Wright year = {2003}, 107*965d9f74SJames Wright publisher = {Elsevier}, 108*965d9f74SJames Wright doi = {10.1016/j.cma.2003.07.011} 109*965d9f74SJames Wright} 110*965d9f74SJames Wright 111*965d9f74SJames Wright@book{toro2009, 112*965d9f74SJames Wright title = {Riemann Solvers and Numerical Methods for Fluid Dynamics}, 113*965d9f74SJames Wright author = {Toro, Eleuterio F.}, 114*965d9f74SJames Wright year = {2009}, 115*965d9f74SJames Wright publisher = {Springer, Berlin, Heidelberg}, 116*965d9f74SJames Wright isbn = {978-3-540-49834-6} 117*965d9f74SJames Wright} 118*965d9f74SJames Wright 119*965d9f74SJames Wright@misc{sodshocktubewiki, 120*965d9f74SJames Wright title = {Sod shock tube}, 121*965d9f74SJames Wright howpublished = {\url{https://en.wikipedia.org/wiki/Sod_shock_tube}}, 122*965d9f74SJames Wright note = {Accessed: 01-30-2022} 123*965d9f74SJames Wright} 124*965d9f74SJames Wright 125*965d9f74SJames Wright@article{tezduyar2007yzb, 126*965d9f74SJames Wright title = {{SUPG} finite element computation of inviscid supersonic flows with $YZ\beta$ shock capturing}, 127*965d9f74SJames Wright author = {Tezduyar, Tayfun E and Senga, Masayoshi}, 128*965d9f74SJames Wright journal = {Computers and Fluids}, 129*965d9f74SJames Wright volume = {36}, 130*965d9f74SJames Wright number = {1}, 131*965d9f74SJames Wright pages = {147-159}, 132*965d9f74SJames Wright year = {2007}, 133*965d9f74SJames Wright publisher = {Elsevier}, 134*965d9f74SJames Wright doi = {10.1016/j.compfluid.2005.07.009} 135*965d9f74SJames Wright} 136*965d9f74SJames Wright 137*965d9f74SJames Wright@phdthesis{whitingStabilizedFEM1999, 138*965d9f74SJames Wright title = {Stabilized {{Finite Element Methods}} for {{Fluid Dynamics}} Using a {{Hierarchical Basis}}}, 139*965d9f74SJames Wright author = {Whiting, Christian H}, 140*965d9f74SJames Wright year = {1999}, 141*965d9f74SJames Wright address = {{Troy, NY}}, 142*965d9f74SJames Wright langid = {english}, 143*965d9f74SJames Wright school = {Rennselear Polytechnic Institute} 144*965d9f74SJames Wright} 145*965d9f74SJames Wright 146*965d9f74SJames Wright@article{shurSTG2014, 147*965d9f74SJames Wright title = {Synthetic Turbulence Generators for {RANS-LES} Interfaces in Zonal Simulations of Aerodynamic and Aeroacoustic Problems}, 148*965d9f74SJames Wright author = {Shur, Michael L. and Spalart, Philippe R. and Strelets, Michael K. and Travin, Andrey K.}, 149*965d9f74SJames Wright year = {2014}, 150*965d9f74SJames Wright journal = {Flow, Turbulence and Combustion}, 151*965d9f74SJames Wright volume = {93}, 152*965d9f74SJames Wright number = {1}, 153*965d9f74SJames Wright pages = {63--92}, 154*965d9f74SJames Wright doi = {10.1007/s10494-014-9534-8}, 155*965d9f74SJames Wright langid = {english} 156*965d9f74SJames Wright} 157*965d9f74SJames Wright 158*965d9f74SJames Wright@inproceedings{mengaldoCompressibleBC2014, 159*965d9f74SJames Wright title = {A Guide to the Implementation of Boundary Conditions in Compact High-Order Methods for Compressible Aerodynamics}, 160*965d9f74SJames Wright booktitle = {{{AIAA Aviation}} 2014}, 161*965d9f74SJames Wright author = {Mengaldo, Gianmarco and De Grazia, Daniele and Peiro, Joaquim and Farrington, Antony and Witherden, Freddie and Vincent, Peter and Sherwin, Spencer}, 162*965d9f74SJames Wright year = {2014}, 163*965d9f74SJames Wright month = jun, 164*965d9f74SJames Wright publisher = {{AIAA}}, 165*965d9f74SJames Wright address = {{Atlanta}}, 166*965d9f74SJames Wright doi = {10.2514/6.2014-2923} 167*965d9f74SJames Wright} 168*965d9f74SJames Wright 169*965d9f74SJames Wright@article{shakib1991femcfd, 170*965d9f74SJames Wright title = {A new finite element formulation for computational fluid dynamics: {X}. The compressible {Euler} and {Navier-Stokes} equations}, 171*965d9f74SJames Wright author = {Shakib, Farzin and Hughes, Thomas JR and Johan, Zden{\v{e}}k}, 172*965d9f74SJames Wright journal = {Computer Methods in Applied Mechanics and Engineering}, 173*965d9f74SJames Wright volume = {89}, 174*965d9f74SJames Wright number = {1-3}, 175*965d9f74SJames Wright pages = {141--219}, 176*965d9f74SJames Wright year = {1991}, 177*965d9f74SJames Wright publisher = {Elsevier}, 178*965d9f74SJames Wright doi = {10.1016/0045-7825(91)90041-4} 179*965d9f74SJames Wright} 180*965d9f74SJames Wright 181*965d9f74SJames Wright@incollection{colonius2023turbBC, 182*965d9f74SJames Wrighttitle = {Chapter 8 - Boundary conditions for turbulence simulation}, 183*965d9f74SJames Wrighteditor = {Robert D. Moser}, 184*965d9f74SJames Wrightbooktitle = {Numerical Methods in Turbulence Simulation}, 185*965d9f74SJames Wrightpublisher = {Academic Press}, 186*965d9f74SJames Wrightpages = {319-357}, 187*965d9f74SJames Wrightyear = {2023}, 188*965d9f74SJames Wrightseries = {Numerical Methods in Turbulence}, 189*965d9f74SJames Wrightisbn = {978-0-323-91144-3}, 190*965d9f74SJames Wrightdoi = {10.1016/B978-0-32-391144-3.00014-0}, 191*965d9f74SJames Wrightauthor = {Tim Colonius}, 192*965d9f74SJames Wrightkeywords = {Turbulence simulation, Boundary conditions, Nonreflecting boundary conditions, Inflow–outflow boundary conditions}, 193*965d9f74SJames 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.} 194*965d9f74SJames Wright} 195*965d9f74SJames Wright 196*965d9f74SJames Wright@book{popeTurbulentFlows2000, 197*965d9f74SJames Wright title={Turbulent Flows}, 198*965d9f74SJames Wright author={Pope, Stephen B}, 199*965d9f74SJames Wright year={2000}, 200*965d9f74SJames Wright publisher={Cambridge University Press}, 201*965d9f74SJames Wright isbn={9780521598866} 202*965d9f74SJames Wright} 203*965d9f74SJames Wright 204*965d9f74SJames Wright@misc{prakashDDSGSAnisotropic2022, 205*965d9f74SJames Wright title = {Invariant Data-driven Subgrid Stress Modeling on Anisotropic Grids for Large Eddy Simulation}, 206*965d9f74SJames Wright author = {Prakash, Aviral and Jansen, Kenneth E. and Evans, John A.}, 207*965d9f74SJames Wright year = {2022}, 208*965d9f74SJames Wright number = {arXiv:2212.00332}, 209*965d9f74SJames Wright eprint = {arXiv:2212.00332}, 210*965d9f74SJames Wright publisher = {{arXiv}}, 211*965d9f74SJames Wright urldate = {2023-01-29}, 212*965d9f74SJames Wright archiveprefix = {arxiv}, 213*965d9f74SJames Wright} 214*965d9f74SJames Wright 215*965d9f74SJames Wright@article{prakashDDSGS2022, 216*965d9f74SJames Wright title = {Invariant Data-Driven Subgrid Stress Modeling in the Strain-Rate Eigenframe for Large Eddy Simulation}, 217*965d9f74SJames Wright author = {Prakash, Aviral and Jansen, Kenneth E. and Evans, John A.}, 218*965d9f74SJames Wright year = {2022}, 219*965d9f74SJames Wright month = sep, 220*965d9f74SJames Wright journal = {Computer Methods in Applied Mechanics and Engineering}, 221*965d9f74SJames Wright volume = {399}, 222*965d9f74SJames Wright doi = {10.1016/j.cma.2022.115457}, 223*965d9f74SJames Wright} 224*965d9f74SJames Wright 225*965d9f74SJames Wright@article{germanoDiffFilterLES1986, 226*965d9f74SJames Wright title = {Differential Filters for the Large Eddy Numerical Simulation of Turbulent Flows}, 227*965d9f74SJames Wright author = {Germano, M.}, 228*965d9f74SJames Wright year = {1986}, 229*965d9f74SJames Wright journal = {The Physics of Fluids}, 230*965d9f74SJames Wright volume = {29}, 231*965d9f74SJames Wright number = {6}, 232*965d9f74SJames Wright pages = {1755--1757}, 233*965d9f74SJames Wright publisher = {{American Institute of Physics}}, 234*965d9f74SJames Wright doi = {10.1063/1.865649}, 235*965d9f74SJames Wright} 236*965d9f74SJames Wright 237*965d9f74SJames Wright@article{bullExplicitFilteringExact2016, 238*965d9f74SJames Wright title = {Explicit Filtering and Exact Reconstruction of the Sub-Filter Stresses in Large Eddy Simulation}, 239*965d9f74SJames Wright author = {Bull, Jonathan R. and Jameson, Antony}, 240*965d9f74SJames Wright year = {2016}, 241*965d9f74SJames Wright journal = {Journal of Computational Physics}, 242*965d9f74SJames Wright volume = {306}, 243*965d9f74SJames Wright pages = {117--136}, 244*965d9f74SJames Wright doi = {10.1016/j.jcp.2015.11.037}, 245*965d9f74SJames Wright urldate = {2023-04-07}, 246*965d9f74SJames Wright} 247*965d9f74SJames Wright 248*965d9f74SJames Wright@article{vandriestWallDamping1956, 249*965d9f74SJames Wright title = {On Turbulent Flow Near a Wall}, 250*965d9f74SJames Wright author = {Van Driest, E. R.}, 251*965d9f74SJames Wright year = {1956}, 252*965d9f74SJames Wright month = nov, 253*965d9f74SJames Wright journal = {Journal of the Aeronautical Sciences}, 254*965d9f74SJames Wright volume = {23}, 255*965d9f74SJames Wright number = {11}, 256*965d9f74SJames Wright pages = {1007--1011}, 257*965d9f74SJames Wright publisher = {{American Institute of Aeronautics and Astronautics}}, 258*965d9f74SJames Wright doi = {10/ghbxk3}, 259*965d9f74SJames Wright urldate = {2023-04-08}, 260*965d9f74SJames Wright file = {/home/jrwrigh/Zotero/storage/XSLBIGW5/Van Driest_1956_On Turbulent Flow Near a Wall.pdf} 261*965d9f74SJames Wright} 262