Symmetry-preserving discretization of Navier–Stokes equations on collocated unstructured grids

FX Trias, O Lehmkuhl, A Oliva… - Journal of …, 2014 - Elsevier
A fully-conservative discretization is presented in this paper. The same principles followed
by Verstappen and Veldman (2003)[3] are generalized for unstructured meshes. Here, a …

A symmetry-preserving second-order time-accurate PISO-based method

EMJ Komen, JA Hopman, EMA Frederix, FX Trias… - Computers & …, 2021 - Elsevier
A new conservative symmetry-preserving second-order time-accurate PISO-based pressure-
velocity coupling for solving the incompressible Navier-Stokes equations on unstructured …

On the implementation of low-dissipative Runge–Kutta projection methods for time dependent flows using OpenFOAM®

V Vuorinen, JP Keskinen, C Duwig, BJ Boersma - Computers & Fluids, 2014 - Elsevier
Open source computational fluid dynamics (CFD) codes provide suitable environments for
implementation, testing and rapid dissemination of algorithms typically used for large-eddy …

Conservation properties of unstructured finite-volume mesh schemes for the Navier-Stokes equations

L Jofre, O Lehmkuhl, J Ventosa, FX Trias… - … Heat Transfer, Part B …, 2014 - Taylor & Francis
The Navier-Stokes equations describe fluid flow by conserving mass and momentum. There
are two main mesh discretizations for the computation of these equations, the collocated and …

Supraconservative finite-volume methods for the Euler equations of subsonic compressible flow

AEP Veldman - Siam review, 2021 - SIAM
It has been found advantageous for finite-volume discretizations of flow equations to
possess additional (secondary) invariants, besides the (primary) invariants from the …

A minimally-dissipative low-Mach number solver for complex reacting flows in OpenFOAM

M Hassanaly, H Koo, CF Lietz, ST Chong, V Raman - Computers & Fluids, 2018 - Elsevier
Large eddy simulation (LES) has become the de-facto computational tool for modeling
complex reacting flows, especially in gas turbine applications. However, readily usable …

Analysis of the numerical dissipation rate of different Runge–Kutta and velocity interpolation methods in an unstructured collocated finite volume method in …

EMJ Komen, EMA Frederix, THJ Coppen… - Computer Physics …, 2020 - Elsevier
The approach used for computation of the convecting face fluxes and the cell face velocities
results in different underlying numerical algorithms in finite volume collocated grid solvers …

A simple approach to discretize the viscous term with spatially varying (eddy-) viscosity

FX Trias, A Gorobets, A Oliva - Journal of Computational Physics, 2013 - Elsevier
A simple approach to discretize the viscous dissipation term in the incompressible Navier–
Stokes equations with spatially varying viscosity is presented. Unlike the case where the …

Approximate projection method for the incompressible Navier–Stokes equations

F Capuano, G Coppola, M Chiatto, L de Luca - AIAA journal, 2016 - arc.aiaa.org
Approximate Projection Method for the Incompressible Navier–Stokes Equations | AIAA
Journal Skip to main content AIAA ARC logo Search Search Anywhere Find by Paper Quick …

[HTML][HTML] Quantifying the checkerboard problem to reduce numerical dissipation

JA Hopman, D Santos, À Alsalti-Baldellou… - Journal of …, 2024 - Elsevier
This work provides a comprehensive exploration of various methods in solving
incompressible flows using a projection method, and their relation to the occurrence and …