From the continuous to the lattice Boltzmann equation: The discretization problem and thermal models PC Philippi, LA Hegele Jr, LOE Dos Santos, R Surmas Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 73 (5 …, 2006 | 248 | 2006 |
Lattice Boltzmann equation linear stability analysis: Thermal and athermal models DN Siebert, LA Hegele Jr, PC Philippi Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 77 (2 …, 2008 | 113 | 2008 |
High-order regularization in lattice-Boltzmann equations KK Mattila, PC Philippi, LA Hegele Physics of Fluids 29 (4), 2017 | 89 | 2017 |
Numerical transient and steady state analytical modeling of the wellbore temperature during drilling fluid circulation MM Abdelhafiz, LA Hegele Jr, JF Oppelt Journal of Petroleum Science and Engineering 186, 106775, 2020 | 41 | 2020 |
Thermal lattice Boltzmann in two dimensions DN Siebert, LA Hegele Jr, R Surmas, LOE Dos Santos, PC Philippi International Journal of Modern Physics C 18 (04), 546-555, 2007 | 40 | 2007 |
Investigation of an entropic stabilizer for the lattice-Boltzmann method KK Mattila, LA Hegele Jr, PC Philippi Physical Review E 91 (6), 063010, 2015 | 35 | 2015 |
High-Reynolds-number turbulent cavity flow using the lattice Boltzmann method LA Hegele Jr, A Scagliarini, M Sbragaglia, KK Mattila, PC Philippi, ... Physical Review E 98 (4), 43302, 2018 | 31 | 2018 |
Rectangular lattice-Boltzmann schemes with BGK-collision operator LA Hegele Jr, K Mattila, PC Philippi Journal of Scientific Computing 56, 230-242, 2013 | 26 | 2013 |
From the Boltzmann to the lattice-Boltzmann equation: beyond BGK collision models PC Philippi, LA Hegele Jr, R Surmas, DN Siebert, LOE Dos Santos International Journal of Modern Physics C 18 (04), 556-565, 2007 | 26 | 2007 |
Temperature Modeling for Wellbore Circulation and Shut-in with Application in Vertical Geothermal Wells M Abdelhafiz, LA Hegele, J Oppelt Journal of Petroleum Science and Engineering, 108660, 2021 | 24 | 2021 |
High-order lattice-Boltzmann PC Philippi, DN Siebert, LA Hegele Jr, KK Mattila Journal of the Brazilian Society of Mechanical Sciences and Engineering 38 …, 2016 | 18 | 2016 |
Lattice-Boltzmann equations for describing segregation in non-ideal mixtures PC Philippi, KK Mattila, DN Siebert, LOE dos Santos, LAH Júnior, ... Journal of Fluid Mechanics 713, 564-587, 2012 | 17 | 2012 |
Moment representation in the lattice Boltzmann method on massively parallel hardware M Vardhan, J Gounley, L Hegele, EW Draeger, A Randles SC '19: Proceedings of the International Conference for High Performance …, 2019 | 16 | 2019 |
High-accuracy approximation of high-rank derivatives: isotropic finite differences based on lattice-Boltzmann stencils KK Mattila, LA Hegele Júnior, PC Philippi The Scientific World Journal 2014, 142907, 2014 | 15 | 2014 |
High-order lattice-Boltzmann equations and stencils for multiphase models KK Mattila, DN Siebert, LA Hegele Jr, PC Philippi International Journal of Modern Physics C 24 (12), 1340006, 2013 | 15 | 2013 |
A GPU implementation for the moment representation of the lattice Boltzmann method MA Ferrari, WB Oliveira Jr, A Lugarini, AT Franco, LA Hegele Jr. International Journal for Numerical Methods in Fluids, 2023 | 6 | 2023 |
Moments-based method for boundary conditions in the lattice Boltzmann framework: A comparative analysis for the lid driven cavity flow RLM Bazarin, PC Philippi, A Randles, LA Hegele Jr Computers & Fluids 230, 105142, 2021 | 6 | 2021 |
Thermodynamic consistency in deriving lattice Boltzmann models for describing segregation in non-ideal mixtures PC Philippi, LO Emerich Dos Santos, LA Hegele Jr, CE Pico Ortiz, ... Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2011 | 6 | 2011 |
Kinetic Projection and Stability in Lattice-Boltzmann Schemes PC Philippi, KK Mattila, LAH Júnior, DN Siebert CILAMCE 2015 - Proceedings of the XXXVI Ibero-Latin American Congress on …, 2015 | 5 | 2015 |
Evaluation of intracoronary hemodynamics identifies perturbations in vorticity M Vardhan, J Gounley, SJ Chen, P Nair, W Wei, LA Hegele Jr., J Kusner, ... Front. Syst. Biol. 2, 930396, 2022 | 4 | 2022 |