Very high-order accurate finite volume scheme for the steady-state incompressible Navier–Stokes equations with polygonal meshes on arbitrary curved boundaries

R Costa, S Clain, GJ Machado, JM Nóbrega - Computer Methods in …, 2022 - Elsevier
The numerical solution of the incompressible Navier–Stokes equations raises challenging
numerical issues on the development of accurate and robust discretisation techniques due …

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 …

A reduced-dissipation WENO scheme with automatic dissipation adjustment

J Fernández-Fidalgo, L Ramírez, P Tsoutsanis… - Journal of …, 2021 - Elsevier
In this paper, we propose a novel modification to the WENO-family schemes to reduce its
intrinsic dissipation. In this work, we focus on the WENO5 scheme, which is rewritten in …

[HTML][HTML] A new mean preserving moving least squares method for arbitrary order finite volume schemes

L Ramírez, L Edreira, I Couceiro, P Ouro… - Applied Mathematics …, 2023 - Elsevier
In this paper we propose a new arbitrary-order Finite Volume method for the numerical
solution of the Euler and Navier-Stokes equations on unstructured grids. Arbitrary order is …

A new higher-order finite volume method based on Moving Least Squares for the resolution of the incompressible Navier–Stokes equations on unstructured grids

L Ramirez, X Nogueira, S Khelladi… - Computer Methods in …, 2014 - Elsevier
In this work a new higher-order (> 2) accurate finite volume method for the resolution of the
incompressible Navier–Stokes equations on unstructured grids is presented. The …

[HTML][HTML] Very high order finite volume solver for multi component two-phase flow with phase change using a posteriori Multi-dimensional Optimal Order Detection

M Deligant, CJ Romero-Casado, X Nogueira… - Computers & …, 2025 - Elsevier
In this work we propose a very high-order compressible finite volume scheme with a
posteriori stabilization for the computation of multi-component two-phase flow with phase …

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 …

A Diffuse Interface Model for Cavitation, Taking Into Account Capillary Forces

T Ait‐Ali, S Khelladi, F Bakir, N Hannoun… - … Methods in Fluids, 2024 - Wiley Online Library
We consider the moving least squares method to solve compressible two‐phase water‐
water vapor flow with surface tension. A diffuse interface model based on the Navier–Stokes …

An a posteriori-implicit turbulent model with automatic dissipation adjustment for Large Eddy Simulation of compressible flows

X Nogueira, L Ramírez, J Fernández-Fidalgo… - Computers & …, 2020 - Elsevier
In this work we present an a posteriori high-order finite volume scheme for the computation
of compressible turbulent flows. An automatic dissipation adjustment (ADA) method is …

A very fast high-order flux reconstruction for Finite Volume schemes for Computational Aeroacoustics

L Ramírez, J Fernández-Fidalgo, J París… - Engineering with …, 2024 - Springer
Given the small wavelengths and wide range of frequencies of the acoustic waves involved
in Aeroacoustics problems, the use of very accurate, low-dissipative numerical schemes is …