Extending EB3 scheme for the differential conservation law from node-centered to cell-centered control volumes I: Basic formula on regular cells
L Kong, Y Dong, W Liu - Journal of Computational Physics, 2023 - Elsevier
The third-order edge-based (EB3) scheme for the differential conservation law is widely
used on node-centered control volumes. It is much efficient and easy to implement, since the …
used on node-centered control volumes. It is much efficient and easy to implement, since the …
On the order of accuracy of finite-volume schemes on unstructured meshes
P Bakhvalov, M Surnachev - arXiv preprint arXiv:2404.04157, 2024 - arxiv.org
We consider finite-volume schemes for linear hyperbolic systems with constant coefficients
on unstructured meshes. Under the stability assumption, they exhibit the convergence rate …
on unstructured meshes. Under the stability assumption, they exhibit the convergence rate …
Validation of Flux Correction on Three-Dimensional Strand Grids with an Overset Cartesian Grid
D Work, Y Yanagita, T Giblette, AJ Katz… - 55th AIAA Aerospace …, 2017 - arc.aiaa.org
A high-order solution method for laminar flow using an overset framework, consisting of
strand grids in the near-body, and Cartesian grids in the off-body is demonstrated. Highorder …
strand grids in the near-body, and Cartesian grids in the off-body is demonstrated. Highorder …
An assessment of various turbulence models for preconditioned high-order solutions of flow around submersibles
O Tong, Y Yanagita, AJ Katz - 46th AIAA Fluid Dynamics Conference, 2016 - arc.aiaa.org
In this work, we examine the flux correction method for three-dimensional low-speed,
incompressible, turbulent flows over submersibles on strand grids. Flux correction achieves …
incompressible, turbulent flows over submersibles on strand grids. Flux correction achieves …
On representing complex configurations as asymptotic geometry
O Tong, A Katz - Applied Mathematical Modelling, 2017 - Elsevier
Treating geometry as an asymptotic representation is a novel approach that allows the
geometry to become a function of mesh resolution. Small-scale features are filtered and …
geometry to become a function of mesh resolution. Small-scale features are filtered and …
High-Order Strand Grid Methods for Multi-species Reacting Flow
CD Blakely, AJ Katz, O Tong - 46th AIAA Fluid Dynamics Conference, 2016 - arc.aiaa.org
A higher-order method known as flux-reconstruction is employed on strand grids to model
combustion. Numerical methods for discretization of governing equations on strandgrids are …
combustion. Numerical methods for discretization of governing equations on strandgrids are …