Mengyun Liu
Skip Abstract Section
Skip Supplemental Material SectionAbstract
Boundary layer flow plays a very important role in shaping the entire flow feature near and behind obstacles inside fluids. Thus, boundary treatment methods are crucial for a physically consistent fluid simulation, especially when turbulence occurs at a high Reynolds number, in which accurately handling thin boundary layer becomes quite challenging. Traditional Navier-Stokes solvers usually construct multi-resolution body-fitted meshes to achieve high accuracy, often together with near-wall and sub-grid turbulence modeling. However, this could be time-consuming and computationally intensive even with GPU accelerations. An alternative and much faster approach is to switch to a kinetic solver, such as the lattice Boltzmann model, but boundary treatment has to be done in a cut-cell manner, sacrificing accuracy unless grid resolution is much increased. In this paper, we focus on simulating the boundary-dominated turbulent flow phenomena with an efficient kinetic solver. In order to significantly improve the cut-cell-based boundary treatment for higher accuracy without excessively increasing the simulation resolution, we propose a novel parametric boundary treatment model, including a semi-Lagrangian scheme at the wall for non-equilibrium distribution functions, together with a purely link-based near-wall analytical mesoscopic model by analogy with the macroscopic wall modeling approach, which is yet simple to compute. Such a new method is further extended to handle moving boundaries, showing increased accuracy. Comprehensive analyses are conducted, with a variety of simulation results that are both qualitatively and quantitatively validated with experiments and real life scenarios, and compared to existing methods, to indicate superiority of our method. We highlight that our method not only provides a more accurate way for boundary treatment, but also a valuable tool to control boundary layer behaviors. This has not been achieved and demonstrated before in computer graphics, which we believe will be very useful in practical engineering.
Supplemental Material
- R. Adhikari and S. Succi. 2008. Duality in matrix lattice Boltzmann models. Phys. Rev. E 78 (Dec 2008), 066701. Issue 6.Google Scholar
Cross Ref
- J.D. Anderson. 2010. Fundamentals of Aerodynamics. McGraw-Hill Education.Google Scholar
- S. Ansumali, I. V. Karlin, and H. C. Öttinger. 2003. Minimal entropic kinetic models for hydrodynamics. Europhysics Letters 63, 6 (Sep 2003), 798.Google ScholarCross Ref
- Thomas Astoul, Gauthier Wissocq, Jean-François Boussuge, Alois Sengissen, and Pierre Sagaut. 2021. Lattice Boltzmann Method for Computational Aeroacoustics on Nonuniform Meshes: a direct grid coupling approach. J. Comput. Phys. 447 (2021), 110667.Google ScholarDigital Library
- Vinicius C. Azevedo, Christopher Batty, and Manuel M. Oliveira. 2016. Preserving Geometry and Topology for Fluid Flows with Thin Obstacles and Narrow Gaps. ACM Trans. Graph. 35, 4, Article 97 (Jul 2016), 12 pages.Google ScholarDigital Library
- Dinshaw S. Balsara, Sudip Garain, Vladimir Florinski, and Walter Boscheri. 2020. An efficient class of WENO schemes with adaptive order for unstructured meshes. J. Comput. Phys. 404 (2020), 109062.Google ScholarDigital Library
- Reza Barati, Seyed Ali Akbar Salehi Neyshabouri, and Goodarz Ahmadi. 2014. Development of empirical models with high accuracy for estimation of drag coefficient of flow around a smooth sphere: An evolutionary approach. Powder Technology 257 (2014), 11--19.Google ScholarCross Ref
- Christopher Batty, Florence Bertails, and Robert Bridson. 2007. A Fast Variational Framework for Accurate Solid-Fluid Coupling. In ACM SIGGRAPH 2007 Papers (San Diego, California) (SIGGRAPH '07). Association for Computing Machinery, New York, NY, USA, 100--es.Google ScholarDigital Library
- Sanjeeb T. Bose and George Ilhwan Park. 2018. Wall-Modeled Large-Eddy Simulation for Complex Turbulent Flows. Annual Review of Fluid Mechanics 50, 1 (2018), 535--561.Google ScholarCross Ref
- M'hamed Bouzidi, Mouaouia Firdaouss, and Pierre Lallemand. 2001. Momentum Transfer of a Lattice-Boltzmann Fluid with Boundaries. Physics of Fluids 13, 11 (2001), 3452--3459.Google ScholarCross Ref
- P.T. Brady and D. Livescu. 2021. Foundations for high-order, conservative cut-cell methods: Stable discretizations on degenerate meshes. J. Comput. Phys. 426 (2021), 109794.Google ScholarCross Ref
- Tyson Brochu, Todd Keeler, and Robert Bridson. 2012. Linear-Time Smoke Animation with Vortex Sheet Meshes. In Eurographics/ ACM SIGGRAPH Symposium on Computer Animation. The Eurographics Association.Google Scholar
- A Caiazzo. 2008. Analysis of lattice Boltzmann nodes initialisation in moving boundary problems. Progress in Computational Fluid Dynamics, an International Journal 8, 1--4 (2008), 3--10.Google Scholar
- John R. Chawner and Nigel J. Taylor. 2019. Progress in Geometry Modeling and Mesh Generation Toward the CFD Vision 2030. 2945.Google Scholar
- Hudong Chen, Pradeep Gopalakrishnan, and Raoyang Zhang. 2014a. Recovery of Galilean Ivariance in Thermal Lattice Boltzmann Models for Arbitrary Prandtl Number. International Journal of Modern Physics C 25, 10 (2014), 1450046.Google ScholarCross Ref
- Li Chen, Yang Yu, Jianhua Lu, and Guoxiang Hou. 2014b. A comparative study of lattice Boltzmann methods using bounce-back schemes and immersed boundary ones for flow acoustic problems. International Journal for Numerical Methods in Fluids 74, 6 (2014), 439--467.Google ScholarCross Ref
- Y. Chen, W. Li, R. Fan, and X. Liu. 2022. GPU Optimization for High-Quality Kinetic Fluid Simulation. IEEE Transactions on Visualization & Computer Graphics 28, 09 (Sep 2022), 3235--3251.Google ScholarCross Ref
- B. Chun and A. J. C. Ladd. 2007. Interpolated boundary condition for lattice Boltzmann simulations of flows in narrow gaps. Phys. Rev. E 75 (Jun 2007), 066705. Issue 6.Google Scholar
- Alessandro De Rosis. 2017. Nonorthogonal central-moments-based lattice Boltzmann scheme in three dimensions. Phys. Rev. E 95 (Jan 2017), 013310. Issue 1.Google Scholar
- Dominique D'Humières. 1992. Generalized Lattice-Boltzmann Equations. In Rarefied Gas Dynamics: Theory and Simulations. 450--458.Google Scholar
- Dominique D'Humières, Irina Ginzburg, Manfred Krafczyk, Pierre Lallemand, and Li-Shi Luo. 2002. Multiple-relaxation-time Lattice Boltzmann Models in Three Dimensions. Phil. Trans. R. Soc. A: Math. Phys. Eng. Sci. 360, 1792 (2002), 437--451.Google ScholarCross Ref
- Todd F. Dupont and Yingjie Liu. 2003. Back and forth error compensation and correction methods for removing errors induced by uneven gradients of the level set function. J. Comput. Phys. 190, 1 (2003), 311--324.Google ScholarDigital Library
- Alexandre Dupuis and Bastien Chopard. 2003. Theory and applications of an alternative lattice Boltzmann grid refinement algorithm. Phys. Rev. E 67 (Jun 2003), 066707. Issue 6.Google ScholarCross Ref
- Robert Eymard, Thierry Gallouët, and Raphaèle Herbin. 2000. Finite volume methods. In Solution of Equation in Rn (Part 3), Techniques of Scientific Computing (Part 3). Handbook of Numerical Analysis, Vol. 7. Elsevier, 713--1018.Google Scholar
- Ehsan Kian Far, Martin Geier, and Manfred Krafczyk. 2020. Simulation of rotating objects in fluids with the cumulant lattice Boltzmann model on sliding meshes. Computers & Mathematics with Applications 79, 1 (2020), 3--16.Google ScholarDigital Library
- Ronald Fedkiw, Jos Stam, and Henrik Wann Jensen. 2001. Visual Simulation of Smoke. In Proceedings of the 28th Annual Conference on Computer Graphics and Interactive Techniques (SIGGRAPH '01). Association for Computing Machinery, New York, NY, USA, 15--22.Google ScholarDigital Library
- Ronald P Fedkiw, Tariq Aslam, Barry Merriman, and Stanley Osher. 1999. A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method). J. Comput. Phys. 152, 2 (1999), 457--492.Google ScholarDigital Library
- Olga Filippova and Dieter Hänel. 1998. Grid Refinement for Lattice-BGK Models. J. Comput. Phys. 147, 1 (1998), 219--228.Google ScholarDigital Library
- Chuyuan Fu, Qi Guo, Theodore Gast, Chenfanfu Jiang, and Joseph Teran. 2017. A Polynomial Particle-in-Cell Method. ACM Trans. Graph. 36, 6, Article 222 (Nov 2017), 12 pages.Google ScholarDigital Library
- Martin Geier, Andreas Greiner, and Jan G. Korvink. 2006. Cascaded digital lattice Boltzmann automata for high Reynolds number flow. Phys. Rev. E 73 (Jun 2006), 066705. Issue 6.Google ScholarCross Ref
- Martin Geier, Andreas Greiner, and Jan G. Korvink. 2009. A Factorized Central Moment Lattice Boltzmann Method. The European Physical Journal Special Topics 171, 1 (2009), 55--61.Google ScholarCross Ref
- Martin Geier, Andrea Pasquali, and Martin Schönherr. 2017. Parametrization of the cumulant lattice Boltzmann method for fourth order accurate diffusion part I: Derivation and validation. J. Comput. Phys. 348 (2017), 862--888.Google ScholarDigital Library
- Martin Geier, Martin Schönherr, Andrea Pasquali, and Manfred Krafczyk. 2015. The Cumulant Lattice Boltzmann Equation in Three Dimensions: theory and validation. Computers & Mathematics with Applications 70, 4 (2015), 507--547.Google ScholarCross Ref
- Félix Gendre, Denis Ricot, Guillaume Fritz, and Pierre Sagaut. 2017. Grid refinement for aeroacoustics in the lattice Boltzmann method: A directional splitting approach. Phys. Rev. E 96 (Aug 2017), 023311. Issue 2.Google ScholarCross Ref
- Richard A Gentry, Robert E Martin, and Bart J Daly. 1966. An Eulerian differencing method for unsteady compressible flow problems. J. Comput. Phys. 1, 1 (1966), 87--118.Google ScholarCross Ref
- Frederic Gibou, Ronald P. Fedkiw, Li-Tien Cheng, and Myungjoo Kang. 2002. A Second-Order-Accurate Symmetric Discretization of the Poisson Equation on Irregular Domains. J. Comput. Phys. 176, 1 (2002), 205--227.Google ScholarDigital Library
- Irina Ginzburg and Dominique d'Humières. 2003. Multireflection boundary conditions for lattice Boltzmann models. Phys. Rev. E 68 (Dec 2003), 066614. Issue 6.Google ScholarCross Ref
- J. Favier P. Sagaut H. Yoo, M. L. Bahlali. 2021. A hybrid recursive regularized lattice Boltzmann model with overset grids for rotating geometries. Physics of Fluids 33, 5 (May 2021), 057113.Google ScholarCross Ref
- Francis H Harlow. 1964. The particle-in-cell computing method for fluid dynamics. Methods Comput. Phys. 3 (1964), 319--343.Google Scholar
- Angelina Heft, Thomas Indinger, and Nikolaus Adams. 2011. Investigation of Unsteady Flow Structures in the Wake of a Realistic Generic Car Model.Google Scholar
- Angelina I. Heft, Thomas Indinger, and Nikolaus A. Adams. 2012. Experimental and Numerical Investigation of the DrivAer Model (Fluids Engineering Division Summer Meeting, Vol. Volume 1: Symposia, Parts A and B). 41--51.Google Scholar
- Jérôme Jacob, Orestis Malaspinas, and Pierre Sagaut. 2018. A New Hybrid Recursive Regularised Bhatnagar-Gross-Krook Collision Model for Lattice Boltzmann Method-based Large Eddy Simulation. Journal of Turbulence 19, 11--12 (2018), 1051--1076.Google ScholarCross Ref
- Hrvoje Jasak and Tessa Uroić. 2020. Practical computational fluid dynamics with the finite volume method. In Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids. Springer, 103--161.Google Scholar
- Chenfanfu Jiang, Craig Schroeder, Andrew Selle, Joseph Teran, and Alexey Stomakhin. 2015. The Affine Particle-in-Cell Method. ACM Trans. Graph. 34, 4, Article 51 (Jul 2015), 10 pages.Google ScholarDigital Library
- Chen Jiang, Jian-Yao Yao, Zhi-Qian Zhang, Guang-Jun Gao, and G.R. Liu. 2018. A sharp-interface immersed smoothed finite element method for interactions between incompressible flows and large deformation solids. Computer Methods in Applied Mechanics and Engineering 340 (2018), 24--53.Google ScholarCross Ref
- I. V. Karlin, F. Bösch, and S. S. Chikatamarla. 2014. Gibbs' principle for the lattice-kinetic theory of fluid dynamics. Phys. Rev. E 90 (Sep 2014), 031302. Issue 3.Google ScholarCross Ref
- I. V. Karlin, A. Ferrante, and H. C. Öttinger. 1999. Perfect entropy functions of the Lattice Boltzmann method. Europhysics Letters 47, 2 (Jul 1999), 182.Google ScholarCross Ref
- Theodore Kim, Nils Thürey, Doug James, and Markus Gross. 2008. Wavelet Turbulence for Fluid Simulation. ACM Trans. Graph. 27, 3 (Aug 2008), 1--6.Google ScholarDigital Library
- Andreas Krämer, Dominik Wilde, Knut Küllmer, Dirk Reith, and Holger Foysi. 2019. Pseudoentropic derivation of the regularized lattice Boltzmann method. Phys. Rev. E 100 (Aug 2019), 023302. Issue 2.Google ScholarCross Ref
- Siddharth Krithivasan, Siddhant Wahal, and Santosh Ansumali. 2014. Diffused bounce-back condition and refill algorithm for the lattice Boltzmann method. Phys. Rev. E 89 (Mar 2014), 033313. Issue 3.Google Scholar
- Anthony J. C. Ladd. 1994. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation. Journal of Fluid Mechanics 271 (1994), 285--309.Google ScholarCross Ref
- D. Lagrava. 2012. Revisiting grid refinement algorithms for the lattice Boltzmann method. Ph. D. Dissertation. Université de Genève.Google Scholar
- D. Lagrava, O. Malaspinas, J. Latt, and B. Chopard. 2012. Advances in multi-domain lattice Boltzmann grid refinement. J. Comput. Phys. 231, 14 (2012), 4808--4822.Google ScholarDigital Library
- Pierre Lallemand and Li-Shi Luo. 2000. Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys. Rev. E 61 (Jun 2000), 6546--6562. Issue 6.Google ScholarCross Ref
- Pierre Lallemand and Li-Shi Luo. 2003. Lattice Boltzmann method for moving boundaries. J. Comput. Phys. 184, 2 (2003), 406--421.Google ScholarDigital Library
- Pierre Lallemand and Li-Shi Luo. 2020. Lattice Boltzmann equation with Overset method for moving objects in two-dimensional flows. J. Comput. Phys. 407 (2020), 109223.Google ScholarDigital Library
- Jing Li, Makoto Tsubokura, and Masaya Tsunoda. 2017. Numerical Investigation of the Flow Past a Rotating Golf Ball and Its Comparison with a Rotating Smooth Sphere. Flow, Turbulence and Combustion 99, 3 (2017), 837--864.Google ScholarCross Ref
- W. Li, K. Bai, and X. Liu. 2019. Continuous-Scale Kinetic Fluid Simulation. IEEE Transactions on Visualization & Computer Graphics 25, 09 (Sep 2019), 2694--2709.Google ScholarCross Ref
- Wei Li, Yixin Chen, Mathieu Desbrun, Changxi Zheng, and Xiaopei Liu. 2020. Fast and Scalable Turbulent Flow Simulation with Two-Way Coupling. ACM Trans. Graph. 39, 4, Article 47 (Aug 2020), 20 pages.Google ScholarDigital Library
- Wei Li and Mathieu Desbrun. 2023. Fluid-Solid Coupling in Kinetic Two-Phase Flow Simulation. 42, 4, Article 123 (Jul 2023), 14 pages.Google Scholar
- Wei Li, Daoming Liu, Mathieu Desbrun, Jin Huang, and Xiaopei Liu. 2021. Kinetic-Based Multiphase Flow Simulation. IEEE Transactions on Visualization & Computer Graphics 27, 7 (2021), 3318--3334.Google ScholarDigital Library
- Wei Li, Yihui Ma, Xiaopei Liu, and Mathieu Desbrun. 2022. Efficient Kinetic Simulation of Two-Phase Flows. ACM Trans. Graph. 41, 4, Article 114 (Jul 2022), 17 pages.Google ScholarDigital Library
- Daniel S. Lo. 2014. Finite element mesh generation. CRC Press.Google Scholar
- Jianhua Lu, Haifeng Han, Baochang Shi, and Zhaoli Guo. 2012. Immersed boundary lattice Boltzmann model based on multiple relaxation times. Phys. Rev. E 85 (Jan 2012), 016711. Issue 1.Google Scholar
- Chaoyang Lyu, Kai Bai, Yiheng Wu, Mathieu Desbrun, Changxi Zheng, and Xiaopei Liu. 2023. Building a Virtual Weakly-Compressible Wind Tunnel Testing Facility. ACM Trans. Graph. 42, 4, Article 125 (Jul 2023), 20 pages.Google ScholarDigital Library
- Chaoyang Lyu, Wei Li, Mathieu Desbrun, and Xiaopei Liu. 2021. Fast and Versatile Fluid-Solid Coupling for Turbulent Flow Simulation. ACM Trans. Graph. 40, 6, Article 201 (Dec 2021), 18 pages.Google ScholarDigital Library
- Robert W MacCormack. 1969. The effect of viscosity in hypervelocity impact cratering. AIAA paper 69--354 (1969).Google Scholar
- O. Malaspinas and P. Sagaut. 2014. Wall model for large-eddy simulation based on the lattice Boltzmann method. J. Comput. Phys. 275 (2014), 25--40.Google ScholarDigital Library
- Francesco Marson, Yann Thorimbert, Bastien Chopard, Irina Ginzburg, and Jonas Latt. 2021. Enhanced single-node lattice Boltzmann boundary condition for fluid flows. Phys. Rev. E 103 (May 2021), 053308. Issue 5.Google ScholarCross Ref
- Keijo K. Mattila, Paulo C. Philippi, and Luiz A. Hegele. 2017. High-order Regularization in Lattice-Boltzmann Equations. Physics of Fluids 29, 4 (2017), 046103.Google ScholarCross Ref
- Maxon. 2023. Redshift renderer. (2023).Google Scholar
- Chohong Min, Frédéric Gibou, and Hector D. Ceniceros. 2006. A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids. J. Comput. Phys. 218, 1 (2006), 123--140.Google ScholarDigital Library
- R. Mittal, H. Dong, M. Bozkurttas, F.M. Najjar, A. Vargas, and A. von Loebbecke. 2008. A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries. J. Comput. Phys. 227, 10 (2008), 4825--4852.Google ScholarDigital Library
- Parviz Moin and Krishnan Mahesh. 1998. Direct Numerical Simulation: A Tool in Turbulence Research. Annual Review of Fluid Mechanics 30, 1 (1998), 539--578.Google ScholarCross Ref
- Faith A. Morrison. 2013. An introduction to fluid mechanics. Cambridge University Press.Google Scholar
- Patrick Mullen, Keenan Crane, Dmitry Pavlov, Yiying Tong, and Mathieu Desbrun. 2009. Energy-Preserving Integrators for Fluid Animation. ACM Trans. Graph. 28, 3, Article 38 (Jul 2009), 8 pages.Google ScholarDigital Library
- Mohammad Sina Nabizadeh, Stephanie Wang, Ravi Ramamoorthi, and Albert Chern. 2022. Covector Fluids. ACM Trans. Graph. 41, 4, Article 113 (Jul 2022), 16 pages.Google ScholarDigital Library
- Zhisong Ou, Cheng Chi, Liejin Guo, and Dominique Thévenin. 2022. A directional ghost-cell immersed boundary method for low Mach number reacting flows with interphase heat and mass transfer. J. Comput. Phys. 468 (2022), 111447.Google ScholarDigital Library
- Jitendra Kumar Patel and Ganesh Natarajan. 2018. Diffuse interface immersed boundary method for multi-fluid flows with arbitrarily moving rigid bodies. J. Comput. Phys. 360 (2018), 202--228.Google ScholarCross Ref
- Charles S Peskin. 1972. Flow patterns around heart valves: A numerical method. J. Comput. Phys. 10, 2 (1972), 252--271.Google ScholarCross Ref
- Tobias Pfaff, Nils Thuerey, Jonathan Cohen, Sarah Tariq, and Markus Gross. 2010. Scalable Fluid Simulation Using Anisotropic Turbulence Particles. ACM Trans. Graph. 29, 6, Article 174 (Dec 2010), 8 pages.Google ScholarDigital Library
- Tobias Pfaff, Nils Thuerey, and Markus Gross. 2012. Lagrangian Vortex Sheets for Animating Fluids. ACM Trans. Graph. 31, 4, Article 112 (Jul 2012), 8 pages.Google ScholarDigital Library
- Yue-Hong Qian, Dominique d'Humières, and Pierre Lallemand. 1992. Lattice BGK models for Navier-Stokes equation. Europhysics letters 17, 6 (1992), 479.Google Scholar
- Ziyin Qu, Xinxin Zhang, Ming Gao, Chenfanfu Jiang, and Baoquan Chen. 2019. Efficient and Conservative Fluids Using Bidirectional Mapping. ACM Trans. Graph. 38, 4, Article 128 (Jul 2019), 12 pages.Google ScholarDigital Library
- Karthik Raveendran, Chris Wojtan, and Greg Turk. 2011. Hybrid Smoothed Particle Hydrodynamics. In Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation (Vancouver, British Columbia, Canada) (SCA '11). Association for Computing Machinery, New York, NY, USA, 33--42.Google ScholarDigital Library
- Yu-Xin Ren, Miao'er Liu, and Hanxin Zhang. 2003. A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws. J. Comput. Phys. 192, 2 (2003), 365--386.Google ScholarDigital Library
- Hamed Sahranavard, Ali Mohtashami, Ehsan Mohtashami, and Abolfazl Akbarpour. 2022. Inverse modeling application for aquifer parameters estimation using a precise simulation-optimization model. Applied Water Science 13, 2 (2022), 58.Google ScholarCross Ref
- Andrew Selle, Ronald Fedkiw, Byungmoon Kim, Yingjie Liu, and Jarek Rossignac. 2008. An unconditionally stable MacCormack method. Journal of Scientific Computing 35, 2 (2008), 350--371.Google ScholarDigital Library
- Jung Hee Seo and Rajat Mittal. 2011. A sharp-interface immersed boundary method with improved mass conservation and reduced spurious pressure oscillations. J. Comput. Phys. 230, 19 (2011), 7347--7363.Google ScholarDigital Library
- Xiaowen Shan. 2019. Central-moment-based Galilean-invariant multiple-relaxation-time collision model. Phys. Rev. E 100 (Oct 2019), 043308. Issue 4.Google ScholarCross Ref
- Xiaowen Shan and Hudong Chen. 2007. A General Multiple-relaxation-time Boltzmann Collision Model. International Journal of Modern Physics C 18, 4 (2007), 635--643.Google ScholarCross Ref
- Chi-Wang Shu. 2003. High-order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD. International Journal of Computational Fluid Dynamics 17, 2 (2003), 107--118.Google ScholarCross Ref
- Jos Stam. 1999. Stable Fluids. In Proceedings of the 26th Annual Conference on Computer Graphics and Interactive Techniques (SIGGRAPH '99). ACM Press/Addison-Wesley Publishing Co., USA, 121--128.Google Scholar
- John C. Strikwerda. 2004. Finite Difference Schemes and Partial Differential Equations, Second Edition. SIAM.Google Scholar
- Michael Tao, Christopher Batty, Mirela Ben-Chen, Eugene Fiume, and David I. W. Levin. 2022. VEMPIC: Particle-in-Polyhedron Fluid Simulation for Intricate Solid Boundaries. ACM Trans. Graph. 41, 4, Article 115 (Jul 2022), 22 pages.Google ScholarDigital Library
- Shi Tao, Qing He, Baiman Chen, Xiaoping Yang, and Simin Huang. 2018. One-point Second-order Curved Boundary Condition for Lattice Boltzmann Simulation of Suspended Particles. Computers & Mathematics with Applications 76, 7 (2018), 1593--1607.Google ScholarCross Ref
- Shi Tao, Junjie Hu, and Zhaoli Guo. 2016. An investigation on momentum exchange methods and refilling algorithms for lattice Boltzmann simulation of particulate flows. Computers & Fluids 133 (2016), 1--14.Google ScholarCross Ref
- A. Tiwari and S. P. Vanka. 2012. A ghost fluid Lattice Boltzmann method for complex geometries. International Journal for Numerical Methods in Fluids 69, 2 (2012), 481--498.Google ScholarCross Ref
- Shashank S. Tiwari, Eshita Pal, Shivkumar Bale, Nitin Minocha, Ashwin W. Patwardhan, Krishnaswamy Nandakumar, and Jyeshtharaj B. Joshi. 2020. Flow past a single stationary sphere, 2. Regime mapping and effect of external disturbances. Powder Technology 365 (2020), 215--243. SI: In honor of LS Fan.Google ScholarCross Ref
- Yu-Heng Tseng and Joel H. Ferziger. 2003. A ghost-cell immersed boundary method for flow in complex geometry. J. Comput. Phys. 192, 2 (2003), 593--623.Google ScholarDigital Library
- M. Van Dyke. 1982. An Album of Fluid Motion. Parabolic Press.Google Scholar
- Bakić Vukman, Schmid Martin, and Stanković Branislav. 2006. Experimental investigation of turbulent structures of flow around a sphere. Thermal Science 10 (2006), 97--112.Google ScholarCross Ref
- Steffen Weißmann and Ulrich Pinkall. 2010. Filament-Based Smoke with Vortex Shedding and Variational Reconnection. ACM Trans. Graph. 29, 4, Article 115 (Jul 2010), 12 pages.Google ScholarDigital Library
- Binghai Wen, Chaoying Zhang, Yusong Tu, Chunlei Wang, and Haiping Fang. 2014. Galilean invariant fluid-solid interfacial dynamics in lattice Boltzmann simulations. J. Comput. Phys. 266 (2014), 161--170.Google ScholarDigital Library
- S. Wilhelm, J. Jacob, and P. Sagaut. 2018. An explicit power-law-based wall model for lattice Boltzmann method-Reynolds-averaged numerical simulations of the flow around airfoils. Physics of Fluids 30, 6 (Jun 2018), 065111.Google ScholarCross Ref
- Kui Wu, Nghia Truong, Cem Yuksel, and Rama Hoetzlein. 2018. Fast Fluid Simulations with Sparse Volumes on the GPU. Computer Graphics Forum 37, 2, 157--167.Google ScholarCross Ref
- T. Ye, R. Mittal, H.S. Udaykumar, and W. Shyy. 1999. An Accurate Cartesian Grid Method for Viscous Incompressible Flows with Complex Immersed Boundaries. J. Comput. Phys. 156, 2 (1999), 209--240.Google ScholarDigital Library
- Dazhi Yu, Renwei Mei, and Wei Shyy. 2003. A Unified Boundary Treatment in Lattice Boltzmann Method. In Aerospace Sciences Meeting and Exhibit. 953.Google ScholarCross Ref
- Omar Zarifi and Christopher Batty. 2017. A Positive-Definite Cut-Cell Method for Strong Two-Way Coupling between Fluids and Deformable Bodies. In Proceedings of the ACM SIGGRAPH / Eurographics Symposium on Computer Animation (Los Angeles, California) (SCA '17). Association for Computing Machinery, New York, NY, USA, Article 7, 11 pages.Google ScholarDigital Library
- Jonas Zehnder, Rahul Narain, and Bernhard Thomaszewski. 2018. An Advection-Reflection Solver for Detail-Preserving Fluid Simulation. ACM Trans. Graph. 37, 4, Article 85 (Jul 2018), 8 pages.Google ScholarDigital Library
- Xinxin Zhang, Robert Bridson, and Chen Greif. 2015. Restoring the Missing Vorticity in Advection-Projection Fluid Solvers. ACM Trans. Graph. 34, 4, Article 52 (Jul 2015), 8 pages.Google ScholarDigital Library
- Zheyan Zhang, Yongxing Wang, Peter K Jimack, and He Wang. 2020. MeshingNet: A new mesh generation method based on deep learning. In International Conference on Computational Science. Springer, 186--198.Google ScholarDigital Library
- Weifeng Zhao, Juntao Huang, and Wen-An Yong. 2019. Boundary Conditions for Kinetic Theory Based Models I: Lattice Boltzmann Models. Multiscale Modeling & Simulation 17, 2 (2019), 854--872.Google ScholarDigital Library
- Weifeng Zhao and Wen-An Yong. 2017. Single-node second-order boundary schemes for the lattice Boltzmann method. J. Comput. Phys. 329 (2017), 1--15.Google ScholarCross Ref
- Olgierd C. Zienkiewicz, Robert L. Taylor, and J.Z. Zhu. 2013. The Finite Element Method: its Basis and Fundamentals. Butterworth-Heinemann.Google Scholar
Index Terms
- A Parametric Kinetic Solver for Simulating Boundary-Dominated Turbulent Flow Phenomena
Recommendations
Lattice Boltzmann method and gas-kinetic BGK scheme in the low-Mach number viscous flow simulations
Both lattice Boltzmann method (LBM) and the gas-kinetic BGK scheme are based on the numerical discretization of the Boltzmann equation with collisional models, such as, the Bhatnagar-Gross-Krook (BGK) model. LBM tracks limited number of particles and ...
Direct numerical simulation of turbulent pipe flow using the lattice Boltzmann method
AbstractIn this paper, we present a first direct numerical simulation (DNS) of a turbulent pipe flow using the mesoscopic lattice Boltzmann method (LBM) on both a D3Q19 lattice grid and a D3Q27 lattice grid. DNS of turbulent pipe flows using ...
A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating a flexible filament in an incompressible flow
A momentum exchange-based immersed boundary-lattice Boltzmann method, which is used to solve the fluid-flexible-structure-interaction problem, is introduced in this paper. The present method, overcoming the drawback of the conventional penalty method ...
Comments