A Novel Multi-Dimensional Limiter for High-Order Finite Volume Methods on Unstructured Grids

DOI10.4208/cicp.OA-2017-0039zbMath1488.65350OpenAlexW2767201483WikidataQ113488901 ScholiaQ113488901MaRDI QIDQ5158998

Yilang Liu, Wei-Wei Zhang, Chun-Na Li

Publication date: 26 October 2021

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

Full work available at URL: https://doi.org/10.4208/cicp.oa-2017-0039

zbMATH Keywords

unstructured gridsshock waveshigh-order finite volume methodDDWENO limiter

Mathematics Subject Classification ID

Shocks and related discontinuities in solid mechanics (74J40) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs in connection with mechanics of deformable solids (35Q74) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

A study of multidimensional fifth-order WENO method for genuinely two-dimensional Riemann solver ⋮ Linear lattice Boltzmann flux solver for simulating acoustic propagation ⋮ A high order least square-based finite difference-finite volume method with lattice Boltzmann flux solver for simulation of incompressible flows on unstructured grids ⋮ A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

Cites Work

• Unnamed Item
• High-order central ENO finite-volume scheme for ideal MHD
• The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids. II: Extension to high order finite volume schemes
• A high-order finite volume method on unstructured grids using RBF reconstruction
• The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids
• Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint)
• High-order central ENO finite-volume scheme for hyperbolic conservation laws on three-dimensional cubed-sphere grids
• Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
• Accuracy preserving limiter for the high-order accurate solution of the Euler equations
• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Weighted essentially non-oscillatory schemes on triangular meshes
• On some numerical dissipation schemes
• The reconstruction of upwind fluxes for conservation laws: Its behavior in dynamic and steady state calculations
• A high-resolution procedure for Euler and Navier-Stokes computations on unstructured grids
• The multi-dimensional limiters for discontinuous Galerkin method on unstructured grids
• Higher-order multi-dimensional limiting strategy for discontinuous Galerkin methods in compressible inviscid and viscous flows
• A high-order vertex-based central ENO finite-volume scheme for three-dimensional compressible flows
• Accuracy preserving limiter for the high-order finite volume method on unstructured grids
• Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids
• An improved criterion to select dominant modes from dynamic mode decomposition
• Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
• Efficient implementation of weighted ENO schemes
• A robust reconstruction for unstructured WENO schemes
• A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
• A robust well-balanced model on unstructured grids for shallow water flows with wetting and drying over complex topography
• Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows. II: Multi-dimensional limiting process
• A new approach of a limiting process for multi-dimensional flows
• Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids
• The Evolution of Computational Methods in Aerodynamics
• High-order finite volume schemes on unstructured grids using moving least-squares reconstruction. Application to shallow water dynamics
• Mechanism of frequency lock-in in transonic buffeting flow
• A High-Order Central ENO Finite-Volume Scheme for Three-Dimensional Low-Speed Viscous Flows on Unstructured Mesh

This page was built for publication: A Novel Multi-Dimensional Limiter for High-Order Finite Volume Methods on Unstructured Grids