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Time Splitting and Grid Refinement Methods in the Lattice Boltzmann Framework for Solving a Reaction-Diffusion Process [chapter]

Davide Alemani, Bastien Chopard, Josep Galceran, Jacques Buffle
2006 Lecture Notes in Computer Science  
The paper shows how to combine together the Lattice Boltzmann Methods with the time splitting and the grid refinement techniques, in order to solve reaction-diffusion processes including very fast reaction  ...  We discuss the need, for some cases, of applying the time splitting and the grid refinement approach to have a numerical scheme more easily handled and to substantially reduce the computational time.  ...  Josep Galceran also thanks the support of this research by the Spanish Ministry of Education and Science (DGICYT: Project BQU2003-07587).  ... 
doi:10.1007/11758525_10 fatcat:dwnrca3xirdclpd6mqyzrgbziq

A hybrid multi-time-step framework for pore-scale and continuum-scale modeling of solute transport in porous media

S. Karimi, K.B. Nakshatrala
2017 Computer Methods in Applied Mechanics and Engineering  
Through numerical experiments, the effect of grid and time-step refinement, disparity of time-steps in different subdomains, domain partitioning, and the number of iteration steps on the accuracy and rate  ...  solution from the lattice Boltzmann method.  ...  For instance, the subdomains solved using the lattice Boltzmann method can be transferred to a GPU, while other subdomains where the finite element method is used can be solved for using a different processing  ... 
doi:10.1016/j.cma.2017.05.016 fatcat:722bkpw6sjhhrnbwxotrtljxc4

Lattice Boltzmann Method Applied to Nuclear Reactors—A Systematic Literature Review

Johan Augusto Bocanegra Cifuentes, Davide Borelli, Antonio Cammi, Guglielmo Lomonaco, Mario Misale
2020 Sustainability  
The Lattice Boltzmann Method (LBM), a numerical method with a mesoscopic approach to Computational Fluid Dynamic (CFD) derived from the Boltzmann equation and the Maxwell–Boltzmann distribution, can be  ...  The purpose of this paper is to present a review of the recent applications of the Lattice Boltzmann Method in nuclear engineering research.  ...  Figure 1 . 1 Common grids used in the Lattice Boltzmann Method (LBM) (a) D2Q9; (b) D3Q27.  ... 
doi:10.3390/su12187835 fatcat:g5gmapffuzd5pig3sgrsazkqiq

Simulation of mineral dissolution at the pore scale with evolving fluid-solid interfaces: review of approaches and benchmark problem set

Sergi Molins, Cyprien Soulaine, Nikolaos I. Prasianakis, Aida Abbasi, Philippe Poncet, Anthony J. C. Ladd, Vitalii Starchenko, Sophie Roman, David Trebotich, Hamdi A. Tchelepi, Carl I. Steefel
2020 Computational Geosciences  
These codes cover a good portion of the wide range of approaches typically employed for solving pore-scale problems in the literature, including discretization methods, characterization of the fluid-solid  ...  interfaces, and methods to move these interfaces as a result of fluid-solid reactions.  ...  Acknowledgements This material is based upon work supported as part of the Center for Nanoscale Control of Geologic CO 2 , an Energy  ... 
doi:10.1007/s10596-019-09903-x fatcat:z27vncuuwfhshlc5e6pcda7reu

Lattice Boltzmann Simulations in the Slip and Transition Flow Regime with the Peano Framework

Philipp Neumann, Till Rohrmann
2012 Open Journal of Fluid Dynamics  
Our implementations are based on the Lattice Boltzmann method and are accomplished within the Peano framework.  ...  We further apply our Lattice Boltzmann solver to the geometrical setup of a microreactor consisting of differently sized channels and a reactor chamber.  ...  They further thank the Munich Centre of Advanced Computing and the King Abdullah University of Science and Technology (KAUST, Award No. UK-c0020) for providing computational resources.  ... 
doi:10.4236/ojfd.2012.23010 fatcat:osfanr2bebberhkklq4bxkxwze

Coupling of the model reduction technique with the lattice Boltzmann method for combustion simulations

Eliodoro Chiavazzo, Iliya V. Karlin, Alexander N. Gorban, Konstantinos Boulouchos
2010 Combustion and Flame  
A new framework of simulation of reactive flows is proposed based on a coupling between accurate reduced reaction mechanism and the lattice Boltzmann representation of the flow phenomena.  ...  The model reduction is developed in the setting of slow invariant manifold construction, and the simplest lattice Boltzmann equation is used in order to work out the procedure of coupling of the reduced  ...  Acknowledgments This work was accomplished under the financial support of Swiss National Science Foundation (SNF, Project 200021-107885/ 1) and CCEM-CH.  ... 
doi:10.1016/j.combustflame.2010.06.009 fatcat:5bulk34nejalvc42ocdhqjvtv4

Applying the lattice Boltzmann equation to multiscale fluid problems

S. Succi, O. Filippova, G. Smith, E. Kaxiras
2001 Computing in science & engineering (Print)  
We solve the fluid flow equations in the Lattice Boltzmann form, whereas we handle the reaction-diffusion equation for the chemical species with a modified Lax-Wendroff finite-difference scheme on a simple  ...  A potential candidate is the Lattice Boltzmann equation method.  ...  Efthimios Kaxiras is a professor of physics and the Gordon McKay Professor of Applied Physics in the Physics Department and the Division of Engineering and Applied Sciences at Harvard University.  ... 
doi:10.1109/5992.963425 fatcat:haey4rx3r5firo4zjjfzb6qvpq

Coupling of multiscale lattice Boltzmann discrete-element method for reactive particle fluid flows

Marie-Luise Maier, Ravi A. Patel, Nikolaos I. Prasianakis, Sergey V. Churakov, Hermann Nirschl, Mathias J. Krause
2021 Physical review. E  
The fluid flow and reactive mass transport are described in a continuum framework using volume-averaged Navier-Stokes and volume-averaged advection-diffusion-reaction equations, respectively, and solved  ...  using lattice Boltzmann methods.  ...  Researchers to stay at Paul Scherrer Institute (PSI), Switzerland for a research period of three months to work within the framework of her research project.  ... 
doi:10.1103/physreve.103.033306 pmid:33862794 fatcat:3md4pn542vatnghdxcsogantoy

Coarse-grained computation of traveling waves of lattice Boltzmann models with Newton-Krylov solvers [article]

Giovanni Samaey and Wim Vanroose and Dirk Roose and Ioannis G Kevrekidis
2006 arXiv   pre-print
We illustrate the approach on a lattice Boltzmann model for the Fisher equation and on a model for ionization waves.  ...  In a moving frame, emulated by performing a shift-back operation after the coarse-grained time-step, the traveling wave appears as a steady state, which is computed using an iterative method, such as Newton  ...  GS is a Research Assistant of the Fund for Scientific Research -Flanders. WV is supported by the Belgian Science Policy Office through its action "return grants".  ... 
arXiv:physics/0604147v1 fatcat:qzjbmzq4pfdptkuxz3i4mfiewi

Multiscale Computational Fluid Dynamics

Dimitris Drikakis, Michael Frank, Gavin Tabor
2019 Energies  
In the past few years, the development of multiscale methods has emerged as a topic of intensive research.  ...  In this paper, we present a short review of multiscale CFD frameworks with potential applications to energy problems.  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/en12173272 fatcat:bsw47hvlvbcqfa6z5etv7thxzi

Direct numerical calculation of the kinematic tortuosity of reactive mixture flow in the anode layer of solid oxide fuel cells by the lattice Boltzmann method

Pietro Asinari, Michele Calì Quaglia, Michael R. von Spakovsky, Bhavani V. Kasula
2007 Journal of Power Sources  
As a matter of fact, the macroscopic continuum approach essentially consists of applying some type of homogenization technique, which properly averages the underlying microscopic phenomena for producing  ...  Mathematical models that predict performance can aid in the understanding and development of solid oxide fuel cells (SOFCs).  ...  The authors would like to acknowledge ASME as original publisher of the proceedings of ESDA2006 8th Biennial ASME Conference on "Engineering Systems Design and Analysis", during which part of this work  ... 
doi:10.1016/j.jpowsour.2007.03.074 fatcat:grjlsbrqazh65hdhzhum4cst4a

Towards a Complex Automata Framework for Multi-scale Modeling: Formalism and the Scale Separation Map [chapter]

Alfons G. Hoekstra, Eric Lorenz, Jean-Luc Falcone, Bastien Chopard
2007 Lecture Notes in Computer Science  
The concept is formalized and the scale separation map is further investigated in relation with its capability to specify the components of Complex Automata.  ...  Five classes of scale separation are identified, each potentially giving rise to a specific multiscale modeling paradigm. A number of canonical examples are briefly discussed.  ...  This research is supported by the European Commission, through the COAST project [7] (EU-FP6-IST-FET Contract 033664)  ... 
doi:10.1007/978-3-540-72584-8_121 fatcat:k7fdo3z5qbemdnnrva4fk6ojoy

L 2 Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations

Michael Junk, Zhaoxia Yang
2015 Communications in Computational Physics  
AbstractCombining asymptotic analysis and weightedL2stability estimates, the convergence of lattice Boltzmann methods for the approximation of 1D convection-diffusion-reaction equations is proved.  ...  Unlike previous approaches, the proof does not require transformations to equivalent macroscopic equations.  ...  Introduction In this article, we consider a variant of the lattice Boltzmann method for the solution of the convection-diffusion-reaction equation (for example, see [3, 8, 16, 18, 19] ).  ... 
doi:10.4208/cicp.2014.m369 fatcat:b6easkfc7fde5m7kytsdobk3qa

Mesoscopic simulations at the physics-chemistry-biology interface [article]

Massimo Bernaschi, Simone Melchionna, Sauro Succi
2019 arXiv   pre-print
We discuss the Lattice Boltzmann-Particle Dynamics (LBPD) multiscale paradigm for the simulation of complex states of flowing matter at the interface between Physics, Chemistry and Biology.  ...  It is argued that, with the advent of Exascale computing, the mesoscale physics approach advocated in this paper, may come to age in the next decade and open up new exciting perspectives for physics-based  ...  In many cases, the effects of reaction and diffusion on the reaction rates cannot be easily separated and numerical methods provide the only viable route to study the process.  ... 
arXiv:1905.02261v1 fatcat:k4zbtaqgmnfkvn2ioxnybg26ba

Application of general semi-infinite programming to lapidary cutting problems

Anton Winterfeld
2008 European Journal of Operational Research  
The method has been introduced by Stein in [1] , which is also a general reference for this section. 2.1. Lower level problems and Stackelberg games.  ...  The problem is formulated as a general semi-infinite program (GSIP ) and solved using an interiorpoint method developed by Stein.  ...  Steiner Lattice Boltzmann Model for Free-Surface flow and Its Application to Filling Process in Casting A generalized lattice Boltzmann model to simulate free-surface is constructed in both two and three  ... 
doi:10.1016/j.ejor.2007.01.057 fatcat:6szzfosbgngsbhzmqpc3xac6ry
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