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Assoc."},{"key":"10.1016\/j.jcp.2026.114761_bib0073","series-title":"Proc. of International Conference on Tools, Methods and Languages for Scientific and Engineering Computation","first-page":"81","article-title":"Testing multidimensional integration routines","author":"Genz","year":"1984"},{"key":"10.1016\/j.jcp.2026.114761_bib0074","series-title":"Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics","author":"Elman","year":"2014"},{"issue":"2","key":"10.1016\/j.jcp.2026.114761_bib0075","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1137\/120891393","article-title":"IFISS: a computational laboratory for investigating incompressible flow problems","volume":"56","author":"Elman","year":"2014","journal-title":"SIAM Rev."},{"issue":"4","key":"10.1016\/j.jcp.2026.114761_bib0076","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1080\/10407788208913458","article-title":"The numerical treatment of advection: a performance comparison of current methods","volume":"5","author":"Smith","year":"1982","journal-title":"Numer. Heat Transf."},{"key":"10.1016\/j.jcp.2026.114761_bib0077","series-title":"Numerical Solution of Convection-Diffusion Problems","author":"Morton","year":"1996"},{"key":"10.1016\/j.jcp.2026.114761_bib0078","unstructured":"2DWMH: 2D NASA wall-mounted hump separated flow validation case, 1996. accessed 2025-03-28, https:\/\/turbmodels.larc.nasa.gov\/nasahump_val.html."},{"key":"10.1016\/j.jcp.2026.114761_bib0079","series-title":"2nd AIAA Flow Control Conference","article-title":"A separation control CFD validation test case. part 1: baseline & steady suction","author":"Greenblatt","year":"2004"},{"key":"10.1016\/j.jcp.2026.114761_bib0080","doi-asserted-by":"crossref","DOI":"10.1016\/j.jcp.2021.110802","article-title":"Parametric solutions of turbulent incompressible flows in OpenFOAM via the proper generalised decomposition","volume":"449","author":"Tsiolakis","year":"2022","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2026.114761_bib0081","series-title":"Efficient Approximation of Parametric Parabolic Partial Differential Equations","author":"Kent","year":"2023"},{"key":"10.1016\/j.jcp.2026.114761_bib0082","article-title":"A First Course in the Numerical Analysis of Differential Equations","author":"Iserles","year":"1996"},{"issue":"4","key":"10.1016\/j.jcp.2026.114761_bib0083","doi-asserted-by":"crossref","first-page":"2018","DOI":"10.1137\/070688018","article-title":"Adaptive time-stepping for incompressible flow part I: scalar advection-diffusion","volume":"30","author":"Gresho","year":"2008","journal-title":"SIAM J. Sci. Comput."},{"issue":"6\u20137","key":"10.1016\/j.jcp.2026.114761_bib0084","doi-asserted-by":"crossref","first-page":"979","DOI":"10.1002\/nme.2656","article-title":"Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients","volume":"80","author":"Nobile","year":"2009","journal-title":"Int. J. Numer. Methods Eng."},{"key":"10.1016\/j.jcp.2026.114761_bib0085","series-title":"24th AIAA Aerodynamic Measurement Technology and Ground Testing Conference","article-title":"Wall shear stress measurements on the NASA hump model for CFD validation","author":"Naughton","year":"2004"},{"key":"10.1016\/j.jcp.2026.114761_bib0086","series-title":"30th Aerospace Sciences Meeting and Exhibit","article-title":"A one-equation turbulence model for aerodynamic flows","author":"Spalart","year":"1992"},{"key":"10.1016\/j.jcp.2026.114761_bib0087","unstructured":"The OpenFOAM foundation. https:\/\/openfoam.org\/."},{"issue":"10","key":"10.1016\/j.jcp.2026.114761_bib0088","doi-asserted-by":"crossref","first-page":"1787","DOI":"10.1016\/0017-9310(72)90054-3","article-title":"A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows","volume":"15","author":"Patankar","year":"1972","journal-title":"Int. J. Heat Mass Transf."},{"key":"10.1016\/j.jcp.2026.114761_bib0089","doi-asserted-by":"crossref","DOI":"10.1016\/j.jcp.2024.113542","article-title":"Democratizing uncertainty quantification","volume":"521","author":"Seelinger","year":"2025","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2026.114761_bib0090","unstructured":"J.D. Jakeman, L.A. Barba, J.R.R.A. Martins, T. 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