On the finite difference-based lattice Boltzmann method in curvilinear coordinates
From MaRDI portal
Publication:1287182
DOI10.1006/jcph.1998.5984zbMath0934.76074OpenAlexW1984684385MaRDI QIDQ1287182
Publication date: 13 April 2000
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.1998.5984
non-uniform gridsbody-fitted coordinatesimpulsively started cylindrical Couette flowsteady flow over circular cylindersteady flow over flat platessteady-state cylindrical Couette flow
Finite difference methods applied to problems in fluid mechanics (76M20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28)
Related Items
An Eulerian description of the streaming process in the lattice Boltzmann equation. ⋮ Viscosity of finite difference lattice Boltzmann models. ⋮ Characteristic-based finite-difference schemes for the simulation of convection–diffusion equation by the finite-difference-based lattice Boltzmann methods ⋮ Multi-block adaptive mesh refinement (AMR) for a lattice Boltzmann solver using gpus ⋮ A high-order implicit-explicit flux reconstruction lattice Boltzmann method for viscous incompressible flows ⋮ A RECTANGULAR LATTICE BOLTZMANN METHOD FOR GROUNDWATER FLOWS ⋮ A Fully Implicit Method for Lattice Boltzmann Equations ⋮ Imbalance-correction grid-refinement method for lattice Boltzmann flow simulations ⋮ Steady-state solution of incompressible Navier-Stokes equations using discrete least-squares meshless method ⋮ The meshless local Petrov-Galerkin cumulant lattice Boltzmann method: strengths and weaknesses in aeroacoustic analysis ⋮ MRT lattice Boltzmann method for 2D flows in curvilinear coordinates ⋮ A nodal discontinuous Galerkin lattice Boltzmann method for fluid flow problems ⋮ Finite difference-based lattice Boltzmann simulation of natural convection heat transfer in a horizontal concentric annulus ⋮ Nano scale lattice Boltzmann method to simulate the mixed convection heat transfer of air in a lid-driven cavity with an endothermic obstacle inside ⋮ Chebyshev collocation spectral lattice Boltzmann method in generalized curvilinear coordinates ⋮ On the Stability of Multi-Step Finite-Difference-Based Lattice Boltzmann Schemes ⋮ Direct and large-eddy simulation of turbulent flows on composite multi-resolution grids by the lattice Boltzmann method ⋮ Lattice Boltzmann method for the convection-diffusion equation in curvilinear coordinate systems ⋮ Interpolation methods and the accuracy of lattice-Boltzmann mesh refinement ⋮ Implementation of a high-order compact finite-difference lattice Boltzmann method in generalized curvilinear coordinates ⋮ An implicit high-order radial basis function-based differential quadrature-finite volume method on unstructured grids to simulate incompressible flows with heat transfer ⋮ Lattice-Boltzmann accuracy in pore-scale flow simulation ⋮ Lattice Boltzmann method on quadtree grids for simulating fluid flow through porous media: A new automatic algorithm ⋮ Comparison of the Shakhov and ellipsoidal models for the Boltzmann equation and DSMC for \textit{ab initio}-based particle interactions ⋮ Two-dimensional interpolation-supplemented and Taylor-series expansion-based lattice Boltzmann method and its application ⋮ A spectral-element discontinuous Galerkin lattice Boltzmann method for nearly incompressible flows ⋮ A hybrid wavelet-based adaptive immersed boundary finite-difference lattice Boltzmann method for two-dimensional fluid-structure interaction ⋮ Performance evaluation of the general characteristics based off-lattice Boltzmann scheme and DUGKS for low speed continuum flows ⋮ Simulation of flows around an impulsively started circular cylinder by Taylor series expansion- and least squares-based lattice Boltzmann method. ⋮ A solution-adaptive lattice Boltzmann method for two-dimensional incompressible viscous flows ⋮ High-order upwind compact finite-difference lattice Boltzmann method for viscous incompressible flows ⋮ A finite-difference lattice Boltzmann method with second-order accuracy of time and space for incompressible flow ⋮ IMPLICIT-EXPLICIT FINITE-DIFFERENCE LATTICE BOLTZMANN METHOD FOR COMPRESSIBLE FLOWS ⋮ An immersed boundary method for fluids using the XFEM and the hydrodynamic Boltzmann transport equation ⋮ Hydrodynamics in porous media: a finite volume lattice Boltzmann study ⋮ Three-dimensional non-free-parameter lattice-Boltzmann model and its application to inviscid compressible flows ⋮ A kinetic theory-based axisymmetric lattice Boltzmann flux solver for isothermal and thermal swirling flows ⋮ DISCONTINUOUS GALERKIN SCHEMES FOR ISOTHERMAL LATTICE BOLTZMAN MODELS IN ONE DIMENSION ⋮ Numerical simulations of gas resonant oscillations in a closed tube using lattice Boltzmann method ⋮ SIMPLIFIED FINITE DIFFERENCE THERMAL LATTICE BOLTZMANN METHOD ⋮ DIFFUSIVITY OF TWO-COMPONENT ISOTHERMAL FINITE DIFFERENCE LATTICE BOLTZMANN MODELS ⋮ Godunov-type upwind flux schemes of the two-dimensional finite volume discrete Boltzmann method ⋮ Estimation of thermal and mass diffusivity in a porous medium of complex structure using a lattice Boltzmann method ⋮ Development of a three dimensional meshless numerical method for the solution of the Boltzmann equation on complex geometries ⋮ A high-order compact finite-difference lattice Boltzmann method for simulation of natural convection ⋮ Finite-difference lattice Boltzmann model for nonlinear convection-diffusion equations ⋮ A mass conserving boundary condition for the lattice Boltzmann equation method ⋮ Accuracy of higher-order lattice Boltzmann methods for microscale flows with finite Knudsen numbers ⋮ A Simplified Lattice Boltzmann Method without Evolution of Distribution Function ⋮ SIMULATION OF UNSTEADY INCOMPRESSIBLE FLOWS BY USING TAYLOR SERIES EXPANSION- AND LEAST SQUARE-BASED LATTICE BOLTZMANN METHOD ⋮ A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flows ⋮ The Simplified Lattice Boltzmann Method on Non-Uniform Meshes ⋮ Simulation of a bubble rising at high Reynolds number with mass-conserving finite element lattice Boltzmann method ⋮ Lattice BGK model for incompressible Navier-Stokes equation ⋮ Three time integration methods for incompressible flows with discontinuous Galerkin Boltzmann method ⋮ Acceleration of steady-state lattice Boltzmann simulations on non-uniform mesh using local time step method ⋮ A characteristic Galerkin method for discrete Boltzmann equation ⋮ An improved immersed boundary-lattice Boltzmann method for simulating three-dimensional incompressible flows ⋮ A direct simulation method for particle‐fluid systems ⋮ Boundary conditions for the upwind finite difference lattice Boltzmann model: Evidence of slip velocity in micro-channel flow ⋮ Implicit–explicit finite‐difference lattice Boltzmann method with viscid compressible model for gas oscillating patterns in a resonator ⋮ Stochastic finite difference lattice Boltzmann method for steady incompressible viscous flows ⋮ Numerical stability of explicit off-lattice Boltzmann schemes: a comparative study ⋮ Preconditioned WENO finite-difference lattice Boltzmann method for simulation of incompressible turbulent flows ⋮ A Nonlinearly Preconditioned Inexact Newton Algorithm for Steady State Lattice Boltzmann Equations ⋮ Simulation of Cavity Flows by an Implicit Domain Decomposition Algorithm for the Lattice Boltzmann Equations ⋮ IMPLEMENTATION OF FINITE-DIFFERENCE LATTICE BOLTZMANN METHOD ON GENERAL BODY-FITTED CURVILINEAR COORDINATES ⋮ An accurate curved boundary treatment in the lattice Boltzmann method ⋮ Lattice Boltzmann model for the simulation of the wave equation in curvilinear coordinates ⋮ High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation ⋮ Lattice Boltzmann method for 3-D flows with curved boundary ⋮ A lattice Boltzmann method for shock wave propagation in solids ⋮ A COMPARISON OF SINGLE-TIME RELAXATION LATTICE BOLTZMANN SCHEMES WITH ENHANCED STABILITY ⋮ SLIP ON CURVED BOUNDARIES IN THE LATTICE BOLTZMANN MODEL
Cites Work
- Unnamed Item
- Some progress in lattice Boltzmann method. I: Nonuniform mesh grids
- Derivation of the lattice Boltzmann method by means of the discrete ordinate method for the Boltzmann equation
- A finite-difference scheme for the solution of the steady Navier-Stokes equations
- Lattice Boltzmann method on curvilinear coordinates system: Flow around a circular cylinder
- A numerical study of steady viscous flow past a circular cylinder
- Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation
- On boundary conditions in lattice Boltzmann methods
- LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
- A consistent hydrodynamic boundary condition for the lattice Boltzmann method
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems