A Fully Implicit Method for Lattice Boltzmann Equations

DOI10.1137/140975346zbMath1325.76144OpenAlexW2198831644MaRDI QIDQ3447453

Chao Yang, Xiao-Chuan Cai, Jizu Huang

Publication date: 30 October 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/33b4b8771b3c1f0e1afd2484a25c7ad67ad11b36

zbMATH Keywords

domain decompositionparallel scalabilitylattice Boltzmann equationsfully implicit methodNewton-Krylov-RAS

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Particle methods and lattice-gas methods (76M28) Nonlinear first-order PDEs (35F20) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Boltzmann equations (35Q20)

Related Items (14)

The lattice Boltzmann method for nearly incompressible flows ⋮ Adaptive Fully Implicit Simulator with Multilevel Schwarz Methods for Gas Reservoir Flows in Fractured Porous Media ⋮ A matrix-free, implicit finite volume lattice Boltzmann method for steady flows ⋮ Scalable semismooth Newton methods with multilevel domain decomposition for subsurface flow and reactive transport in porous media ⋮ An implicit block LU-SGS finite-volume lattice-Boltzmann scheme for steady flows on arbitrary unstructured meshes ⋮ Nonlinearly preconditioned constraint-preserving algorithms for subsurface three-phase flow with capillarity ⋮ Variational inequality transport model on the sphere by the active-set reduced-space algorithm ⋮ Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms ⋮ A conservation-moment-based implicit finite volume lattice Boltzmann method for steady nearly incompressible flows ⋮ An Implicit Block LU-SGS Algorithm-Based Lattice Boltzmann Flux Solver for Simulation of Hypersonic Flows ⋮ The immersed boundary-lattice Boltzmann method for solving solid-fluid interaction problem with Navier-slip boundary condition ⋮ A Nonlinearly Preconditioned Inexact Newton Algorithm for Steady State Lattice Boltzmann Equations ⋮ Parallel fully coupled methods for bound-preserving solution of subsurface flow and transport in porous media ⋮ A minimum-type nonlinear complementarity simulator with constrained pressure residual (CPR) methods for wormhole propagation in carbonate acidization

Uses Software

• PETSc

Cites Work

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• A parallel domain decomposition method for 3D unsteady incompressible flows at high Reynolds number
• Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere
• Implicit time integration schemes for the unsteady compressible Navier-Stokes equations: Laminar flow
• A large-eddy-based lattice Boltzmann model for turbulent flow simulation
• A fully implicit numerical method for single-fluid resistive magnetohydrodynamics
• Enhanced algorithm efficiency for phase change convection using a multigrid preconditioner with a SIMPLE smoother
• Experiments with implicit upwind methods for the Euler equations
• On the finite difference-based lattice Boltzmann method in curvilinear coordinates
• Effect of the storage format of sparse linear systems on parallel CFD computations
• Fully implicit solution of large-scale non-equilibrium radiation diffusion with high order time integration
• Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• On balanced approximations for time integration of multiple time scale systems.
• Simulation of cavity flow by the lattice Boltzmann method
• Accuracy of discrete-velocity BGK models for the simulation of the incompressible Navier-Stokes equations
• Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems
• A lattice Boltzmann method for nonlinear disturbances around an arbitrary base flow
• A Knudsen layer theory for lattice gases
• Implicit-explicit schemes for BGK kinetic equations
• A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere
• Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
• IMPLICIT-EXPLICIT FINITE-DIFFERENCE LATTICE BOLTZMANN METHOD FOR COMPRESSIBLE FLOWS
• Lattice BGK Models for Navier-Stokes Equation
• Implicit–explicit finite‐difference lattice Boltzmann method with viscid compressible model for gas oscillating patterns in a resonator
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
• Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation
• On boundary conditions in lattice Boltzmann methods
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
• A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
• On pressure and velocity boundary conditions for the lattice Boltzmann BGK model
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• High-performance parallel implicit CFD

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