Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem

DOI10.4208/cicp.OA-2020-0073MaRDI QIDQ5163916

Jing-Mei Qiu, Jiajie Chen, Jianxian Qiu, Xiaofeng Cai

Publication date: 9 November 2021

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

zbMATH Keywords

mass conservationfinite differencesemi-LagrangianVlasov-Poissonincompressible Eulerweighted essentially nonoscillatoryWENO adaptive order reconstruction

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Related Items (3)

A General Improvement in the WENO-Z-Type Schemes ⋮ Positive and Conservative Characteristic Block-Centered Finite Difference Methods for Convection Dominated Diffusion Equations ⋮ An Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for solving convection and convection-diffusion equations

Uses Software

• Vador

Cites Work

• A high order time splitting method based on integral deferred correction for semi-Lagrangian Vlasov simulations
• Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: theoretical analysis and application to the Vlasov-Poisson system
• A high order characteristic discontinuous Galerkin scheme for advection on unstructured meshes
• A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations
• Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow
• Recent progress in the theory and application of symplectic integrators
• Comparison of Eulerian Vlasov solvers
• A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws
• High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation
• A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid
• On maximum-principle-satisfying high order schemes for scalar conservation laws
• Advanced numerical approximation of nonlinear hyperbolic equations. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Cetraro, Italy, June 23--28, 1997
• The semi-Lagrangian method for the numerical resolution of the Vlasov equation
• An efficient class of WENO schemes with adaptive order
• A high order semi-Lagrangian discontinuous Galerkin method for Vlasov-Poisson simulations without operator splitting
• A new hybrid WENO scheme for hyperbolic conservation laws
• A second-order projection method for the incompressible Navier-Stokes equations
• Efficient implementation of weighted ENO schemes
• Simple smoothness indicator and multi-level adaptive order WENO scheme for hyperbolic conservation laws
• An efficient class of WENO schemes with adaptive order for unstructured meshes
• Conservative semi-Lagrangian schemes for Vlasov equations
• A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions
• A new class of adaptive high-order targeted ENO schemes for hyperbolic conservation laws
• A family of high-order targeted ENO schemes for compressible-fluid simulations
• Hybrid semi-Lagrangian finite element-finite difference methods for the Vlasov equation
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• Central WENO schemes for hyperbolic systems of conservation laws
• A two-level implicit scheme for the numerical solution of the linearized vorticity equation
• Compact Central WENO Schemes for Multidimensional Conservation Laws
• Accuracy of WENO and Adaptive Order WENO Reconstructions for Solving Conservation Laws
• Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation
• Troubled-Cell Indicator based on Mean Value Property for Hybrid WENO schemes
• An Eulerian–Lagrangian Weighted Essentially Nonoscillatory scheme for nonlinear conservation laws
• On the Construction and Comparison of Difference Schemes
• Conservative numerical schemes for the Vlasov equation
• Unnamed Item
• Unnamed Item

This page was built for publication: Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem