Compact multi-stage reconstruction method on polyhedral unstructured grids: extension to higher-order finite volume scheme
type: Item
instance of: scholarly article
title: Compact multi-stage reconstruction method on polyhedral unstructured grids: extension to higher-order finite volume scheme
author: Bin Xie
author: Xi Deng
author: Feng Xiao
published in: Computers and Fluids
publication date: 2022-10-17T00:00:00Z
Mathematics Subject Classification ID: 76-XX
zbMATH DE Number: 7602366
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: unstructured grid
zbMATH Keywords: multi-stage reconstruction
zbMATH Keywords: finite volume method
zbMATH Keywords: high-order non-oscillatory
zbMATH Keywords: compact stencil
MaRDI profile type: Publication
full work available at URL: j.compfluid.2022.105436
OpenAlex ID: W4220955298
cites work: Uniformly high order accurate essentially non-oscillatory schemes. III
cites work: Efficient implementation of weighted ENO schemes
cites work: TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
cites work: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
cites work: The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
cites work: The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
cites work: Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
cites work: Spectral (finite) volume method for conservation laws on unstructured grids. II: Extension to two-dimensional scalar equation
cites work: Spectral (finite) volume method for conservation laws on unstructured grids. III: One-dimensional systems and partition optimization
cites work: Spectral (finite) volume method for conservation laws on unstructured grids. IV: Extension to two-dimensional systems.
cites work: Spectral difference method for unstructured grids. I. Basic formulation
cites work: Spectral difference method for unstructured grids. II. Extension to the Euler equations
cites work: A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
cites work: Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations
cites work: A class of hybrid DG/FV methods for conservation laws. I: Basic formulation and one-dimensional systems
cites work: A class of hybrid DG/FV methods for conservation laws. II: Two-dimensional cases
cites work: On the accuracy and efficiency of discontinuous Galerkin, spectral difference and correction procedure via reconstruction methods
cites work: A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework on unstructured meshes
cites work: A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation
cites work: On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
cites work: Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes
cites work: Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems
cites work: High‐order k‐exact WENO finite volume schemes for solving gas dynamic Euler equations on unstructured grids
cites work: Higher-order multi-dimensional limiting strategy for discontinuous Galerkin methods in compressible inviscid and viscous flows
cites work: Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
cites work: A multi-moment finite volume method for incompressible Navier-Stokes equations on unstructured grids: volume-average/point-value formulation
cites work: A multi-moment constrained finite volume method on arbitrary unstructured grids for incompressible flows
cites work: Arbitrary high-order non-oscillatory scheme on hybrid unstructured grids based on multi-moment finite volume method
cites work: Multiple-correction hybrid \(k\)-exact schemes for high-order compressible RANS-LES simulations on fully unstructured grids
cites work: Compact high order finite volume method on unstructured grids II: extension to two-dimensional Euler equations
cites work: Compact high order finite volume method on unstructured grids. III: Variational reconstruction
cites work: A 3D Lagrangian cell-centered hydrodynamic method with higher-order reconstructions for gas and solid dynamics
cites work: Compact high order finite volume method on unstructured grids. IV: Explicit multi-step reconstruction schemes on compact stencil
cites work: High-fidelity solver on polyhedral unstructured grids for low-Mach number compressible viscous flow
cites work: TVD schemes for unstructured grids.
cites work: Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids
cites work: A hybrid pressure-density-based Mach uniform algorithm for 2D Euler equations on unstructured grids by using multi-moment finite volume method
cites work: Two and three dimensional multi-moment finite volume solver for incompressible Navier-Stokes equations on unstructured grids with arbitrary quadrilateral and hexahedral elements
cites work: High-order solution-adaptive central essentially non-oscillatory (CENO) method for viscous flows
cites work: The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids
cites work: Effects of high-frequency damping on iterative convergence of implicit viscous solver
cites work: A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
cites work: Weighted essentially non-oscillatory schemes on triangular meshes
cites work: A two-stage fourth order time-accurate discretization for Lax-Wendroff type flow solvers. I: Hyperbolic conservation laws
cites work: A two-stage fourth order time-accurate discretization for Lax-Wendroff type flow solvers. II: High order numerical boundary conditions
cites work: High-Resolution Conservative Algorithms for Advection in Incompressible Flow
cites work: A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
cites work: WLS-ENO: weighted-least-squares based essentially non-oscillatory schemes for finite volume methods on unstructured meshes
cites work: The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections
cites work: Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
cites work: Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes
cites work: The numerical simulation of two-dimensional fluid flow with strong shocks
cites work: High-order multi-moment finite volume method with smoothness adaptive fitting reconstruction for compressible viscous flow
cites work: The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids. II: Extension to high order finite volume schemes
cites work: Accuracy preserving limiter for the high-order finite volume method on unstructured grids
cites work: Efficient methods with higher order interpolation and MOOD strategy for compressible turbulence simulations
cites work: \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
cites work: High order numerical simulation of aeolian tones
cites work: A class of DG/FV hybrid schemes for conservation law IV: 2D viscous flows and implicit algorithm for steady cases
cites work: Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows

Compact multi-stage reconstruction method on polyhedral unstructured grids: extension to higher-order finite volume scheme (cites work)
cites work: Small-scale structure of the Taylor–Green vortex

Compact multi-stage reconstruction method on polyhedral unstructured grids: extension to higher-order finite volume scheme (cites work)
cites work: A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers

Compact multi-stage reconstruction method on polyhedral unstructured grids: extension to higher-order finite volume scheme (DOI)
DOI: 10.1016/J.COMPFLUID.2022.105436