Extending EB3 scheme for the differential conservation law from node-centered to cell-centered control volumes. I: Basic formula on regular cells
DOI10.1016/j.jcp.2022.111791OpenAlexW4309776830MaRDI QIDQ2112485
Publication date: 11 January 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111791
third-ordernode-centeredcell-centeredaccuracy preserving boundary schemecompatible source term discretizationdifferential conservation law
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Related Items (1)
Cites Work
- High-order methods for turbulent flows on three-dimensional strand grids
- Source term discretization effects on the steady-state accuracy of finite volume schemes
- Review of summation-by-parts schemes for initial-boundary-value problems
- A critical study of agglomerated multigrid methods for diffusion on highly-stretched grids
- High-order flux correction for viscous flows on arbitrary unstructured grids
- Mesh quality effects on the accuracy of CFD solutions on unstructured meshes
- First, second, and third order finite-volume schemes for advection-diffusion
- Accuracy-preserving boundary flux quadrature for finite-volume discretization on unstructured grids
- High-order flux correction/finite difference schemes for strand grids
- An efficient cell-centered finite-volume method with face-averaged nodal-gradients for triangular grids
- On the loss and recovery of second-order accuracy with U-MUSCL
- Notes on accuracy of finite-volume discretization schemes on irregular grids
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- The stability of numerical boundary treatments for compact high-order finite-difference schemes
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- Approximate Riemann solvers, parameter vectors, and difference schemes. (Reprint)
- Accuracy-preserving source term quadrature for third-order edge-based discretization
- A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation
- Efficient gradient stencils for robust implicit finite-volume solver convergence on distorted grids
- A face-area-weighted `centroid' formula for finite-volume method that improves skewness and convergence on triangular grids
- An efficient correction method to obtain a formally third-order accurate flow solver for node-centered unstructured grids
- High aspect ratio grid effects on the accuracy of Navier-Stokes solutions on unstructured meshes
- Compact high order finite volume method on unstructured grids I: Basic formulations and one-dimensional schemes
- Compact high order finite volume method on unstructured grids II: extension to two-dimensional Euler equations
- A residual-based compact scheme for the unsteady compressible Navier-Stokes equations
- Compact high order finite volume method on unstructured grids. III: Variational reconstruction
- Divergence formulation of source term
- High Resolution Schemes and the Entropy Condition
- Finite volume solution of the two-dimensional Euler equations on a regular triangular mesh
- The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
- High-Order Vertex-Centered U-MUSCL Schemes for Turbulent Flows
- On False Accuracy Verification of UMUSCL Scheme
- High‐order k‐exact WENO finite volume schemes for solving gas dynamic Euler equations on unstructured grids
This page was built for publication: Extending EB3 scheme for the differential conservation law from node-centered to cell-centered control volumes. I: Basic formula on regular cells