Lattice Boltzmann method for n-dimensional nonlinear hyperbolic conservation laws with the source term

DOI10.1063/1.3553719zbMath1345.65061OpenAlexW2066557181WikidataQ51608482 ScholiaQ51608482MaRDI QIDQ2821514

Jianhua Lu, Zhenhua Chai, Zheng-Hua Wang, Baochang Shi, Xiu-Qiao Xiang

Publication date: 21 September 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3553719

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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Cites Work

• Unnamed Item
• A new scheme for source term in LBGK model for convection-diffusion equation
• A novel lattice Boltzmann model for the Poisson equation
• High-order unconditionally stable FC-AD solvers for general smooth domains. II: Elliptic, parabolic and hyperbolic PDEs; theoretical considerations
• LBM based flow simulation using GPU computing processor
• Finite Boltzmann schemes
• Lattice Boltzmann equation for quantum mechanics
• On the exact solution to certain nonlinear partial differential equations
• A windowed Fourier pseudospectral method for hyperbolic conservation laws
• High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms
• Challenges in lattice Boltzmann computing
• Lattice-Boltzmann Method for Complex Flows
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• Finite Difference WENO Schemes with Lax--Wendroff-Type Time Discretizations
• Lattice Boltzmann equation for relativistic quantum mechanics
• Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation
• A lattice BGK scheme with general propagation