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 …

A high order least square-based finite difference-finite volume method with lattice Boltzmann flux solver for simulation of incompressible flows on unstructured grids

YY Liu, C Shu, HW Zhang, LM Yang - Journal of Computational Physics, 2020 - Elsevier
This paper presents a high order least square-based finite difference-finite volume (LSFD-
FV) method together with lattice Boltzmann flux solver for accurate simulation of …

New high-resolution-preserving sliding mesh techniques for higher-order finite volume schemes

L Ramírez, C Foulquié, X Nogueira, S Khelladi… - Computers & …, 2015 - Elsevier
This paper presents a new sliding mesh technique for the computation of unsteady viscous
flows in the presence of rotating bodies. The compressible Euler and incompressible Navier …

Benchmarking the face-centred finite volume method for compressible laminar flows

J Vila-Pérez, M Giacomini, A Huerta - … Methods for Heat & Fluid Flow, 2023 - emerald.com
Purpose This study aims to assess the robustness and accuracy of the face-centred finite
volume (FCFV) method for the simulation of compressible laminar flows in different regimes …

[HTML][HTML] A non-oscillatory face-centred finite volume method for compressible flows

J Vila-Pérez, M Giacomini, R Sevilla, A Huerta - Computers & Fluids, 2022 - Elsevier
This work presents a face-centred finite volume (FCFV) paradigm for the simulation of
compressible flows. The FCFV method defines the unknowns at the face barycentre and …

Toward a higher order unsteady finite volume solver based on reproducing kernel methods

S Khelladi, X Nogueira, F Bakir, I Colominas - Computer Methods in …, 2011 - Elsevier
During the last decades, research efforts are headed to develop high order methods on CFD
and CAA to reach most industrial applications (complex geometries) which need, in most …

A new shock-capturing technique based on Moving Least Squares for higher-order numerical schemes on unstructured grids

X Nogueira, L Cueto-Felgueroso, I Colominas… - Computer Methods in …, 2010 - Elsevier
This paper presents a shock detection technique based on Moving Least Squares
reproducing kernel approximations. The multiresolution properties of these kinds of …

A high-order density-based finite volume method for the computation of all-speed flows

X Nogueira, L Ramírez, S Khelladi… - Computer Methods in …, 2016 - Elsevier
In this paper we present a high-order density-based finite-volume framework for all-speed
flows. The formulation is based on high-order variable reconstructions performed using …

A higher-order chimera method for finite volume schemes

L Ramírez, X Nogueira, P Ouro, F Navarrina… - … Methods in Engineering, 2018 - Springer
In this work a higher-order accurate finite volume method for the resolution of the
Euler/Navier–Stokes equations using Chimera grid techniques is presented. The formulation …

On the simulation of wave propagation with a higher-order finite volume scheme based on reproducing kernel methods

X Nogueira, I Colominas, L Cueto-Felgueroso… - Computer Methods in …, 2010 - Elsevier
In this work we study the dispersion and dissipation characteristics of a higher-order finite
volume method based on Moving Least Squares approximations (FV-MLS), and we analyze …