Modified algorithms for curved and virtual boundaries in lattice Boltzmann method applications based on tree grid

DOI10.1016/j.camwa.2023.06.020zbMath1520.65071MaRDI QIDQ6052317

Josep M. Bergada, Bo An, W. M. Sang, D. Li

Publication date: 21 September 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

LBMvirtual boundarycurved boundarytree gridnovel algorithms

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Cites Work

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• A reference solution of the flow over a circular cylinder at \(Re = 40\)
• A solution-adaptive lattice Boltzmann method for two-dimensional incompressible viscous flows
• Some progress in lattice Boltzmann method. I: Nonuniform mesh grids
• A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions
• Finite volume TVD formulation of lattice Boltzmann simulation on unstructured mesh
• Applications of stencil-adaptive finite difference method to incompressible viscous flows with curved boundary
• Grid refinement for lattice-BGK models
• Lattice Boltzmann method on curvilinear coordinates system: Flow around a circular cylinder
• Lattice Boltzmann method for 3-D flows with curved boundary
• A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains
• An accurate curved boundary treatment in the lattice Boltzmann method
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Lattice Boltzmann method for moving boundaries.
• Solution of the eigenvalue problems resulting from global non-parallel flow stability analysis
• New applications of numerical simulation based on lattice Boltzmann method at high Reynolds numbers
• Towards a better understanding of wall-driven square cavity flows using the lattice Boltzmann method
• A second-order cut-cell method for the numerical simulation of 2D flows past obstacles
• The immersed boundary method: a projection approach
• Prediction of the critical Reynolds number for flow past a circular cylinder
• Numerical simulation of flows around two circular cylinders by mesh-free least square-based finite difference methods
• Momentum transfer of a Boltzmann-lattice fluid with boundaries
• An extrapolation method for boundary conditions in lattice Boltzmann method
• Flow past a circular cylinder at low Reynolds number: Oblique vortex shedding
• Lattice BGK Models for Navier-Stokes Equation
• A finite-element study of the onset of vortex shedding in flow past variously shaped bodies
• The lid-driven right-angled isosceles triangular cavity flow
• Vortex shedding from a circular cylinder of finite length at low Reynolds numbers
• A generic, mass conservative local grid refinement technique for lattice‐Boltzmann schemes
• Stability of viscous flow past a circular cylinder