Multi-dimensional semi-Lagrangian scheme that guarantees exact conservation

DOI10.1016/S0010-4655(02)00472-1zbMath1196.65147OpenAlexW2037852074MaRDI QIDQ709331

D. Kharzeev

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(02)00472-1

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items

Conservative discontinuous Galerkin/Hermite spectral method for the Vlasov-Poisson system, A multi-moment transport model on cubed-sphere grid, GPU-accelerated large-scale simulations of interfacial multiphase fluids for real-case applications, Wetting and drying of two-layer shallow-water flow in a moving vessel via semi-Lagrangian simulation, Multi-moment advection scheme for Vlasov simulations, Multi-moment advection scheme in three dimension for Vlasov simulations of magnetized plasma, An unconditionally stable fully conservative semi-Lagrangian method, Accuracy study of the IDO scheme by Fourier analysis, A computational realization of a semi-Lagrangian method for solving the advection equation

Cites Work

• The cubic-interpolated pseudo particle (CIP) method: Application to nonlinear and multi-dimensional hyperbolic equations
• Fully multidimensional flux-corrected transport algorithms for fluids
• Second-order fluid particle scheme
• Cubic interpolated pseudo-particle method (CIP) for solving hyperbolic- type equations
• 16th international conference on numerical methods in fluid dynamics. Proceedings of the conference, Arcachon, France, July 6--10, 1998
• Constructing oscillation preventing scheme for advection equation by rational function
• Constructing a multi-dimensional oscillation preventing scheme for the advection equation by a rational function
• Multicomponent flow calculations by a consistent primitive algorithm
• A universal solver for hyperbolic equations by cubic-polynomial interpolation. I: One-dimensional solver
• A universal solver for hyperbolic equations by cubic-polynomial interpolation. II: Two- and three-dimensional solvers
• Constructing exactly conservative scheme in a non-conservative form
• Cubic interpolated propagation scheme for solving the hyper-dimensional Vlasov-Poisson equation in phase space
• The constrained interpolation profile method for multiphase analysis.