High order finite volume schemes for solving the non-conservative convection equations on the unstructured grids
type: Item
instance of: scholarly article
title: High order finite volume schemes for solving the non-conservative convection equations on the unstructured grids
zbMATH Open document ID: 1498.65142
author: Qian-Min Huang
author: Qian Wang
author: Yu-Xin Ren
published in: Journal of Scientific Computing
publication date: 2021-08-24T00:00:00Z
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7384723
zbMATH Keywords: non-conservative convection equation
zbMATH Keywords: eikonal equation
zbMATH Keywords: variational reconstruction
zbMATH Keywords: convective reconstruction
MaRDI profile type: Publication
full work available at URL: s10915-021-01538-4
OpenAlex ID: W3173456790
cites work: Compact high order finite volume method on unstructured grids I: Basic formulations and one-dimensional schemes
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: Compact high order finite volume method on unstructured grids. IV: Explicit multi-step reconstruction schemes on compact stencil
cites work: High order sub-cell finite volume schemes for solving hyperbolic conservation laws. II: Extension to two-dimensional systems on unstructured grids
cites work: High-order accurate discontinuous finite element solution of the 2D Euler equations
cites work: A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
cites work: Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
cites work: A simplified formulation of the flux reconstruction method
cites work: A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
cites work: A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
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: CIP/multi-moment finite volume method for Euler equations: A semi-Lagrangian characteristic formulation
cites work: Shallow water model on cubed-sphere by multi-moment finite volume method
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: A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations
cites work: A third-order compact gas-kinetic scheme on unstructured meshes for compressible Navier-Stokes solutions
cites work: A variational reconstructed discontinuous Galerkin method for the steady-state compressible flows on unstructured grids
cites work: A reconstructed discontinuous Galerkin method for compressible turbulent flows on 3D curved grids
cites work: Q4265376
cites work: Computational Study of Fast Methods for the Eikonal Equation
cites work: Weighted ENO Schemes for Hamilton--Jacobi Equations
cites work: Weighted essentially non-oscillatory schemes
cites work: High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
cites work: High order fast sweeping methods for static Hamilton-Jacobi equations
cites work: A second order discontinuous Galerkin fast sweeping method for eikonal equations
cites work: Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations
cites work: A new discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations
cites work: A uniformly second order fast sweeping method for eikonal equations
cites work: A highly scalable massively parallel fast marching method for the eikonal equation
cites work: A differential equation for approximate wall distance
cites work: Discontinuous Galerkin discretization of the Reynolds-averaged Navier-Stokes equations with the shear-stress transport model
cites work: Finite volume distance field and its application to medial axis transforms
cites work: High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
cites work: Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
cites work: On some fast well-balanced first order solvers for nonconservative systems
cites work: A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
cites work: A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems
cites work: Definition and weak stability of nonconservative products
cites work: Computations of wall distances by solving a transport equation
cites work: A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids
cites work: High‐order k‐exact WENO finite volume schemes for solving gas dynamic Euler equations on unstructured grids
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes
cites work: An accurate and robust finite volume scheme based on the spline interpolation for solving the Euler and Navier-Stokes equations on non-uniform curvilinear grids
cites work: Fully multidimensional flux-corrected transport algorithms for fluids
cites work: High-Resolution Conservative Algorithms for Advection in Incompressible Flow
DOI: 10.1007/S10915-021-01538-4
Recommended article: High Order Finite Volume Schemes for Numerical Solution of Unsteady Flows
Recommended article: Towards very high‐order accurate schemes for unsteady convection problems on unstructured meshes
Recommended article: A New High Order Finite Volume Method for the Euler Equations on Unstructured Grids
Recommended article: Finite volume scheme for the solution of fluid flow problems on unstructured non-staggered grids
Recommended article: Q3571121
Recommended article: A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems

High order finite volume schemes for solving the non-conservative convection equations on the unstructured grids (Recommended article)
Recommended article: High order finite difference schemes on non-uniform meshes with good conservation properties
Similarity Score: 0.91608006
Recommender Run: Recommender Run 2

High order finite volume schemes for solving the non-conservative convection equations on the unstructured grids (Recommended article)
Recommended article: Implementation of some higher‐order convection schemes on non‐uniform grids
Similarity Score: 0.9159701
Recommender Run: Recommender Run 2

High order finite volume schemes for solving the non-conservative convection equations on the unstructured grids (Recommended article)
Recommended article: HIGH-ORDER FINITE-VOLUME DISCRETIZATION OF THE EULER EQUATIONS ON UNSTRUCTURED MESHES
Similarity Score: 0.9156559
Recommender Run: Recommender Run 2

High order finite volume schemes for solving the non-conservative convection equations on the unstructured grids (Recommended article)
Recommended article: Q4349470
Similarity Score: 0.9150321
Recommender Run: Recommender Run 2