From hyperbolic diffusion scheme to gradient method: implicit Green-Gauss gradients for unstructured grids
From MaRDI portal
Publication:2000422
DOI10.1016/j.jcp.2018.06.019zbMath1415.65245OpenAlexW2807836111WikidataQ129658290 ScholiaQ129658290MaRDI QIDQ2000422
Publication date: 28 June 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2018.06.019
Initial-boundary value problems for first-order hyperbolic systems (35L50) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items
A new auxiliary volume-based gradient algorithm for triangular and tetrahedral meshes ⋮ An iterative near-boundary reconstruction strategy for unstructured finite volume method ⋮ High-order central-upwind shock capturing scheme using a boundary variation diminishing (BVD) algorithm ⋮ A vertex-based reconstruction for cell-centered finite-volume discretization on unstructured grids ⋮ Efficient high-order gradient-based reconstruction for compressible flows ⋮ A face-area-weighted `centroid' formula for finite-volume method that improves skewness and convergence on triangular grids ⋮ An efficient cell-centered finite-volume method with face-averaged nodal-gradients for triangular grids ⋮ A unification of least-squares and Green-Gauss gradients under a common projection-based gradient reconstruction framework ⋮ Gradient based reconstruction: inviscid and viscous flux discretizations, shock capturing, and its application to single and multicomponent flows
Uses Software
Cites Work
- Unnamed Item
- First-, second-, and third-order finite-volume schemes for diffusion
- Robust and accurate viscous discretization via upwind scheme. I: Basic principle
- Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations
- Reconstructed discontinuous Galerkin methods for linear advection-diffusion equations based on first-order hyperbolic system
- Stability analysis of the cell centered finite-volume MUSCL method on unstructured grids
- Compact finite difference schemes with spectral-like resolution
- Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
- An implicit upwing algorithm for computing turbulent flows on unstructured grids
- Third-order active-flux scheme for advection diffusion: hyperbolic diffusion, boundary condition, and Newton solver
- Higher-order unstructured finite volume RANS solution of turbulent compressible flows
- Effects of high-frequency damping on iterative convergence of implicit viscous solver
- Dimensional scaling and numerical similarity in hyperbolic method for diffusion
- Cell-centered high-order hyperbolic finite volume method for diffusion equation on unstructured grids
- Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
- The finite volume method in computational fluid dynamics. An advanced introduction with OpenFOAM and Matlab
- Compact high order finite volume method on unstructured grids. III: Variational reconstruction
- On hyperbolic method for diffusion with discontinuous coefficients
- A reconstructed discontinuous Galerkin method based on a hierarchical WENO reconstruction for compressible flows on tetrahedral grids
- A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes
- On the link between weighted least-squares and limiters used in higher-order reconstructions for finite volume computations of hyperbolic equations
- A Fully—Implicit 2‐D Navier-Stokes Algorithm for Unstructured Grids
- Three-dimensional unstructured adaptive multigrid scheme for the Navier-Stokes equations
- Quadratic-Reconstruction Finite Volume Scheme for Compressible Flows on Unstructured Adaptive Grids
- Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids
This page was built for publication: From hyperbolic diffusion scheme to gradient method: implicit Green-Gauss gradients for unstructured grids