A high-resolution procedure for Euler and Navier–Stokes computations on unstructured grids

P Jawahar, H Kamath - Journal of Computational Physics, 2000 - Elsevier
A finite-volume procedure, comprising a gradient-reconstruction technique and a
multidimensional limiter, has been proposed for upwind algorithms on unstructured grids …

Comparison of node-centered and cell-centered unstructured finite-volume discretizations: viscous fluxes

B Diskin, JL Thomas, EJ Nielsen, H Nishikawa… - AIAA journal, 2010 - arc.aiaa.org
BOTH node-centered (NC) and cell-centered (CC) finite-volume discretizations (FVDs) are
widely used for complex threedimensional (3-D) turbulent simulations in aerospace …

Finite volume methods, unstructured meshes and strict stability for hyperbolic problems

J Nordström, K Forsberg, C Adamsson… - Applied Numerical …, 2003 - Elsevier
The unstructured node centered finite volume method is analyzed and it is shown that it can
be interpreted in the framework of summation by parts operators. It is also shown that …

High-order implicit RBF-based differential quadrature-finite volume method on unstructured grids: Application to inviscid and viscous compressible flows

YY Liu, C Shu, LM Yang, YG Liu, W Liu… - Journal of Computational …, 2023 - Elsevier
This paper exploits the potential of a high-order implicit radial basis function-based
differential quadrature-finite volume (IRBFDQ-FV) method for effective simulation of inviscid …

Unstructured-mesh discretizations and solvers for computational aerodynamics

DJ Mavriplis - AIAA journal, 2008 - arc.aiaa.org
An overview of current unstructured-mesh discretization and solution techniques is given.
Cell-centered vs vertexcentered discretizations are discussed, as well as issues of grid …

Accuracy analysis of unstructured finite volume discretization schemes for diffusive fluxes

A Jalali, M Sharbatdar, C Ollivier-Gooch - Computers & Fluids, 2014 - Elsevier
Numerical errors form a major source of uncertainty in CFD simulations. This source of error,
which is more significant on unstructured meshes, can be alleviated by a careful choice of …

Nonhydrostatic three-dimensional model for hydraulic flow simulation. I: Formulation and verification

YG Lai, LJ Weber, VC Patel - Journal of Hydraulic Engineering, 2003 - ascelibrary.org
A three-dimensional numerical method, without the hydrostatic assumption, is developed to
solve flow problems in hydraulic engineering. This method adopts an unstructured grid …

[图书][B] An investigation of parallel implicit solution algorithms for incompressible flows on unstructured topologies

DG Hyams - 2000 - search.proquest.com
The primary objective of this study is to develop an efficient, scalable, parallel
incompressible flow solver capable of performing viscous, high Reynolds number flow …

Robust and accurate viscous discretization via upwind scheme–I: Basic principle

H Nishikawa - Computers & Fluids, 2011 - Elsevier
In this paper, we introduce a general principle for constructing robust and accurate viscous
discretization, which is applicable to various discretization methods, including finite-volume …

A reconstructed discontinuous Galerkin method for the Euler equations on arbitrary grids

H Luo, L Luo, R Nourgaliev - Communications in Computational …, 2012 - cambridge.org
A reconstruction-based discontinuous Galerkin (RDG (P1P2)) method, a variant of P1P2
method, is presented for the solution of the compressible Euler equations on arbitrary grids …