Simulations of Aerodynamic Separated Flows Using the Lattice Boltzmann Solver XFlow

We present simulations of turbulent detached flows using the commercial lattice Boltzmann solver XFlow (by Dassault Systemes). XFlow’s lattice Boltzmann formulation together with an efficient octree mesh generator reduce substantially the cost of generating complex meshes for industrial flows. In this work, we challenge these meshes and quantify the accuracy of the solver for detached turbulent flows. The good performance of XFlow when combined with a Large-Eddy Simulation turbulence model is demonstrated for different industrial benchmarks and validated using experimental data or fine numerical simulations. We select five test cases: the Backward-facing step the Goldschmied Body the HLPW-2 (2nd High-Lift Prediction Workshop) full aircraft geometry, a NACA0012 under dynamic stall conditions and a parametric study of leading edge tubercles to improve stall behavior on a 3D wing.

[1]  B. Chopard,et al.  Comprehensive comparison of collision models in the lattice Boltzmann framework: Theoretical investigations. , 2019, Physical review. E.

[2]  Vahid Esfahanian,et al.  The Effects of Grid Accuracy on Flow Simulations: A Numerical Assessment , 2020, Fluids.

[3]  Sanjoy Banerjee,et al.  On the Three-Dimensional Central Moment Lattice Boltzmann Method , 2011, 1202.6081.

[4]  Meng-Sing Liou,et al.  Integration of Navier-Stokes Equations Using Dual Time Stepping and a Multigrid Method , 1995 .

[5]  P. Spalart.  Direct simulation of a turbulent boundary layer up to Rθ = 1410 , 1988, Journal of Fluid Mechanics.

[6]  G. Rubio,et al.  Improving the stability of multiple-relaxation lattice Boltzmann methods with central moments , 2018, Computers & Fluids.

[7]  Eusebio Valero Sánchez,et al.  Lattice Boltzmann Method Contribution to the Second High-Lift Prediction Workshop , 2015 .

[8]  S. Lele,et al.  LARGE EDDY SIMULATION OF FREE-STREAM TURBULENCE EFFECTS ON HEAT TRANSFER TO A HIGH PRESSURE TURBINE CASCADE , 2010, Proceeding of Sixth International Symposium on Turbulence and Shear Flow Phenomena.

[9]  Antony Jameson,et al.  Facilitating the Adoption of Unstructured High-Order Methods Amongst a Wider Community of Fluid Dynamicists , 2011 .

[10]  P. Moin,et al.  Direct numerical simulation of turbulent flow over a backward-facing step , 1997, Journal of Fluid Mechanics.

[11]  Taro Imamura,et al.  Acceleration of steady-state lattice Boltzmann simulations on non-uniform mesh using local time step method , 2005 .

[12]  Philippe Mercier,et al.  Wake of a Ducted Vertical Axis Tidal Turbine in Turbulent Flows, LBM Actuator-Line Approach , 2019, Energies.

[13]  J. Korvink,et al.  A factorized central moment lattice Boltzmann method , 2009 .

[14]  G. Wissocq,et al.  Impact of collision models on the physical properties and the stability of lattice Boltzmann methods , 2020, Philosophical Transactions of the Royal Society A.

[15]  Hamid Johari,et al.  Effects of Leading-Edge Protuberances on Airfoil Performance , 2007 .

[16]  M. Chávez-Modena,et al.  Optimizing free parameters in the D3Q19 Multiple-Relaxation lattice Boltzmann methods to simulate under-resolved turbulent flows , 2020, J. Comput. Sci..

[17]  J. Korvink,et al.  Cascaded digital lattice Boltzmann automata for high Reynolds number flow. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  B. Cook,et al.  Three‐dimensional immersed boundary conditions for moving solids in the lattice‐Boltzmann method , 2007 .

[19]  C. Kiris,et al.  Lattice Boltzmann and Navier-Stokes Cartesian CFD Approaches for Airframe Noise Predictions , 2017 .

[20]  Zhenhua Chai,et al.  Multiple-relaxation-time lattice Boltzmann model for generalized Newtonian fluid flows , 2011 .

[21]  P. Bhatnagar,et al.  A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .

[22]  F. Fish,et al.  Leading-edge tubercles delay stall on humpback whale (Megaptera novaeangliae) flippers , 2004 .

[23]  J. Korvink,et al.  Bubble functions for the lattice Boltzmann method and their application to grid refinement , 2009 .

[24]  Max F. Platzer,et al.  Computational prediction of airfoil dynamic stall , 1998 .

[25]  D. Jacqmin.  Regular Article: Calculation of Two-Phase Navier–Stokes Flows Using Phase-Field Modeling , 1999 .

[26]  Sanjoy Banerjee,et al.  Incorporating forcing terms in cascaded lattice Boltzmann approach by method of central moments. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  B. Armaly,et al.  Experimental and theoretical investigation of backward-facing step flow , 1983, Journal of Fluid Mechanics.

[28]  Kamarul Arifin Ahmad,et al.  Mimicking the humpback whale: An aerodynamic perspective , 2016 .

[29]  P. Lallemand,et al.  Theory of the lattice boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[30]  Chuguang Zheng,et al.  A Lattice BGK Scheme with General Propagation , 2002, J. Sci. Comput..

[31]  L. Carr.  Progress in analysis and prediction of dynamic stall , 1988 .

[32]  Y. Cui,et al.  Aerodynamic Performance and Surface Flow Structures of Leading-Edge Tubercled Tapered Swept-Back Wings , 2018 .