A non-oscillatory face-centred finite volume method for compressible flows

DOI10.1016/j.compfluid.2021.105272OpenAlexW3107497642MaRDI QIDQ2670075

Matteo Giacomini, Jordi Vila-Pérez, Antonio Huerta, Ruben Sevilla

Publication date: 10 March 2022

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.13514

zbMATH Keywords

finite volume methodcompressible flowsRiemann solversincompressible limithybridisable discontinuous Galerkinface-centred

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (2)

A family of edge-centered finite volume schemes for heterogeneous and anisotropic diffusion problems on unstructured meshes ⋮ A face‐centred finite volume method for high‐contrast Stokes interface problems

Uses Software

• FLUENT
• OpenFOAM
• TAU
• HLLE
• CFL3D
• FUN3D
• HDGlab

Cites Work

• Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics
• An analysis of the performance of a high-order stabilised finite element method for simulating compressible flows
• An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations
• A hybridizable discontinuous Galerkin method for Stokes flow
• On Godunov-type methods near low densities
• An accuracy evaluation of unstructured node-centred finite volume methods
• Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
• The computation of three-dimensional flows using unstructured grids
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• High-order accurate discontinuous finite element solution of the 2D Euler equations
• A multigrid accelerated hybrid unstructured mesh method for 3D compressible turbulent flow
• A superconvergent HDG method for Stokes flow with strongly enforced symmetry of the stress tensor
• A comparison of hybridized and standard DG methods for target-based \textit{hp}-adaptive simulation of compressible flow
• A temporally adaptive hybridized discontinuous Galerkin method for time-dependent compressible flows
• The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows
• The node-centred finite volume approach: Bridge between finite differences and finite elements
• A second-order face-centred finite volume method for elliptic problems
• A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems
• A coupled HDG-FV scheme for the simulation of transient inviscid compressible flows
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Limiters for high-order discontinuous Galerkin methods
• A calculation procedure for heat, mass and momentum transfer in three- dimensional parabolic flows
• High-order accurate implementation of solid wall boundary conditions in curved geometries
• A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes
• Hybrid coupling of CG and HDG discretizations based on Nitsche's method
• Static Condensation, Hybridization, and the Devising of the HDG Methods
• Unsteady CFD computations using vertex-centered finite volumes for unstructured grids on Graphics Processing Units
• On the accuracy of finite volume and discontinuous Galerkin discretizations for compressible flow on unstructured grids
• NURBS‐enhanced finite element method for Euler equations
• Discontinuous Galerkin methods for the Stokes equations using divergence‐free approximations
• A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
• The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Some Error Estimates for the Box Method
• On Godunov-Type Methods for Gas Dynamics
• A multigrid accelerated time‐accurate inviscid compressible fluid flow solution algorithm employing mesh movement and local remeshing
• Centred TVD schemes for hyperbolic conservation laws
• High‐order CFD methods: current status and perspective
• Tutorial on Hybridizable Discontinuous Galerkin (HDG) Formulation for Incompressible Flow Problems
• Finite volume methods for hyperbolic conservation laws
• Overview of the Hybrid RANS Code TAU
• A Method for the Numerical Calculation of Hydrodynamic Shocks
• The solution of the compressible Euler equations at low Mach numbers using a stabilized finite element algorithm
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A non-oscillatory face-centred finite volume method for compressible flows